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20320</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Part 2: Vocabulary:</span></p> <p><span class="s1"></span> </p> <p><span class="s1">11.<span class="Apple-converted-space"> </span>J</span></p> <p><span class="s1">12. A</span></p> <p><span class="s1">13. B</span></p> <p><span class="s1">14. I</span></p> <p><span class="s1">15. G</span></p> <p><span class="s1">16. H</span></p> <p><span class="s1">17. C</span></p> <p><span class="s1">18. E</span></p> <p><span class="s1">19. F</span></p> <p><span class="s1">20. D</span></p> <p><br></p> <p><span class="s1">22241</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(m)</span></p> <p><span class="s1">3 - 2x = 15</span></p> <p><span class="s1">2x = 3 - 15</span></p> <p><span class="s1">2x = -12</span></p> <p><span class="s1">x = -6</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(n)<span class="Apple-converted-space"></span></span></p> <p><span class="s1">2/3y - 11 = 3</span></p> <p><span class="s1">2/3y = 3 + 11</span></p> <p><span class="s1">2/3y = 14</span></p> <p><span class="s1">2y = 42</span></p> <p><span class="s1">y= 21</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(o)</span></p> <p><span class="s1">6t + 5 = -11</span></p> <p><span class="s1">6t = -11 - 5</span></p> <p><span class="s1">6t = -16</span></p> <p><span class="s1">T = -16/6</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(p)</span></p> <p><span class="s1">6 - m = -4</span></p> <p><span class="s1">m = 6 + 4</span></p> <p><span class="s1">m= 10</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2</span></p> <p><span class="s1">(x + 3) (x - 1)</span></p> <p><span class="s1">x</span><span class="s2"><sup>2</sup></span><span class="s1"> - x + 3x - 3</span></p> <p><span class="s1">x</span><span class="s2"><sup>2</sup></span><span class="s1"> + 2x - 3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(2x + 6) (3x + 4)</span></p> <p><span class="s1"><span class="Apple-converted-space"></span>6x</span><span class="s2"><sup>2</sup></span><span class="s1"><span class="Apple-converted-space"> </span>+ 8x + 18x + 24</span></p> <p><span class="s1">6x</span><span class="s2"><sup>2</sup></span><span class="s1"><span class="Apple-converted-space"> </span>+ 26x + 24</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(-4n</span><span class="s2"><sup>2</sup></span><span class="s1">) </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5n</span><span class="s2"><sup>7</sup></span><span class="s1">)</span></p> <p><span class="s1">(-4n</span><span class="s2"><sup>2</sup></span><span class="s1">) </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5n</span><span class="s2"><sup>2</sup></span><span class="s1">n</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><span class="s1">(n</span><span class="s2"><sup>2</sup></span><span class="s1">) (-4 </span><span class="s2"><strong><sup>. </sup></strong></span><span class="s1">5n</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(2x)</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> (5x</span><span class="s2"><sup>4</sup></span><span class="s1">)</span><span class="s2"><sup>2</sup></span></p> <p><span class="s1">8x</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> 25x</span><span class="s2"><sup>8</sup></span></p> <p><span class="s1">8x</span><span class="s2"><sup>3</sup></span><span class="s1"> </span><span class="s2"><strong><sup>.</sup></strong><span class="Apple-converted-space"></span></span><span class="s1"> 25x</span><span class="s2"><sup>3</sup></span><span class="s1">x</span><span class="s2"><sup>5</sup></span></p> <p><span class="s1">(x</span><span class="s2"><sup>3</sup></span><span class="s1">)(8+ 25x</span><span class="s2"><sup>5</sup></span><span class="s1">)</span></p> <p><br></p> <p><br></p> <p><span class="s1">22622</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Across</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2. Volere</span></p> <p><span class="s1">3. Salve</span></p> <p><span class="s1">5. Auguri</span></p> <p><span class="s1">7. Buon natale</span></p> <p><span class="s1">9. Ciao</span></p> <p><span class="s1">10. Buonasera</span></p> <p><span class="s1">11. Molti</span></p> <p><span class="s1">12. Biglietto di auguri</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Down</span></p> <ol> <li><span class="s1">Buon compleanno</span></li> </ol> <p><span class="s1">4.<span class="Apple-converted-space"> </span>Buona notte</span></p> <p><span class="s1">6. Buona pasqua</span></p> <p><span class="s1">7. Buona giornata<span class="Apple-converted-space"></span></span></p> <p><span class="s1">8. Addio</span></p> <p><br></p> <p><span class="s1">23413</span></p> <p><span class="s1">Enzyme Worksheet</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">Proteins</span></li> <li><span class="s1">Enzymes catalyse vital reactions in the body by lowering the activation energy of a reaction. For example, they allow digestive processes to function.</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="s1">3.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">4.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1" <the="" enzyme="" binds="" to="" the="" substrate="" create="" an="" complex.="" lowers="" activation="" energy="" of="" reaction="" and="" works="" on="" catalyse="" a="" reaction.="" as="" result,="" product="" is="" formed.="" in="" final="" stage,="" releases="" from="" free="" continue="" catalysing="" other="" reactions.="">span class="Apple-converted-space"></span></p> <p><br></p> <p><br></p> <p><span class="s1">30454</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">(1)</span></li> <li><span class="s1">(3)</span></li> <li><span class="s1">(1)</span></li> <li><span class="s1">(1)</span></li> <li><span class="s1">(4)</span></li></ol> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1">31744</span></p> <p><span class="s1"></span> </p> <p><span class="s1">1. Paolo è in un negozio che vende cappelli al mercato.</span></p> <p><span class="s1">2. Paolo parla con il commerciante.</span></p> <p><span class="s1">3. sta comprando un cappello.</span></p> <p><span class="s1">4. il cappello costava trenta euro all'inizio.</span></p> <p><span class="s1">5. il cappello costa venticinque Euro alla fine.</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">33434</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">Elena</span></li> <li><span class="s1">Giovanni</span></li> <li><span class="s1">Carla</span></li> <li><span class="s1">Giovanna</span></li> <li><span class="s1">Mario</span></li> <li><span class="s1">Laura</span></li> <li><span class="s1">Sofia</span></li> <li><span class="s1">Paulo</span></li> <li><span class="s1">Rosa</span></li> </ol> <p><span class="s1"></span> </p> <p><span class="s1">Le ragazze: Andrea, Laura, Valentina, Beatrice, Cristina, Sara, Anna</span></p> <p><span class="s1">I ragazzi: Gregorio, Davide, Franco, Giuseppe, Luca</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1">34448</span></p> <p><span class="s1"></span> </p> <p><span class="s1">6. gli occhiali da sole</span></p> <p><span class="s1">3. il quaderno</span></p> <p><span class="s1">4. la caramelle</span></p> <p><span class="s1">5. il biglietto</span></p> <p><span class="s1">2. il CD</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">Il biglietto costa otto euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Il quaderno costa sei euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Le caramelle costano nove euro.<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Gli occhiali costano venti e quattro euro.</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">37640</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Take Home Test</span></p> <p><span class="s1"></span> </p> <p><span class="s1">1(a) x + 3 = 11</span></p> <p><span class="s1">x = 11 - 3</span></p> <p><span class="s1">x = 8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b) t - 11 = -5</span></p> <p><span class="s1">t = -5 + 11</span></p> <p><span class="s1">t = 6 <span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(c) 5 x = 20</span></p> <p><span class="s1">x = 4</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(d) -2y = -18</span></p> <p><span class="s1">2y = 18</span></p> <p><span class="s1">y = 9<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(e) x/6 = -5</span></p> <p><span class="s1">x = -5(6)</span></p> <p><span class="s1">x = -30</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(f) y/-3 = 12</span></p> <p><span class="s1">y = 12(-3)</span></p> <p><span class="s1">y = -36 <span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(g) 1/2x = 7</span></p> <p><span class="s1">1 = 2x (7)</span></p> <p><span class="s1">1 = 14x</span></p> <p><span class="s1">x = 1/14</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(h) 3x + 5 = 17</span></p> <p><span class="s1">3x = 17 - 5</span></p> <p><span class="s1">3x = 12</span></p> <p><span class="s1">x = 4</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">-2c + 7 = 11</span></li> </ol> <p><span class="s1">-2c = 11 - 7</span></p> <p><span class="s1">2c = -4</span></p> <p><span class="s1">c = -2<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(j) x/4 - 5 = 2</span></p> <p><span class="s1">x/4 = 2 + 5</span></p> <p><span class="s1">x = (7) (4)</span></p> <p><span class="s1">x = 28</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(k) 2t/3 = -10</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2t = -30</span></p> <p><span class="s1">t = -15<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">(l) (y - 4)/2 = 8</span></p> <p><span class="s1">(y - 4) = 16</span></p> <p><span class="s1">y = 16 + 4</span></p> <p><span class="s1">y= 20<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">43514</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5. Draw and label an inhibitor affecting an enzyme reaction:<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">6. What 2 environmental conditions can affect the activity of an enzyme</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Temperature and substrate concentration</span></p> <p><span class="s1"></span> </p> <p><span class="s1">7. The enzyme functions at the optimal pH of 8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">8. The optimal temperature is 35.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">9. When the pH is two, the enzyme is completely inactive.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">10. The optimal pH for intestinal protease is 9.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">11. The optimal pH for gastric protease is 5.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">12. Gastric protease.<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><span class="s1">45737<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society because they formed a robust framework for our legal system, and because we continue to believe that parents have power over children, that the law should govern people, and that the law should safeguard the interests of individuals.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society but we no longer observe obsolete laws that prevent women from being witnesses or that continue to enforce slavery.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">Justinian’s code influenced the principles of justice and law in our society so we continue to have laws that enforce the need for witnesses in the making of a testament or will.<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">45742</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Answers in Italian</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">il grande magazzino è in via Tuscolana.<span class="Apple-converted-space"></span></span></li> <li><span class="s1">Laura suggerisce di fare acquisti in una boutique invece.</span></li> <li><span class="s1">Gina ha bisogno di comprare un regalo per la sorella Anna.<span class="Apple-converted-sXXXX"></span></span></li> <li><span class="s1">XXXX XXX XXXXX XXXXXX in XXX XXXXXXXX perché le boutique sono molto XXXXXXX.</span></li> <li><span class="XX"> XXXX decide di XXXXXXXX un XXXX di XXXXXXXXX.</span></li> </ol> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Answers in XXXXXXX:<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span class="s1">1. The XXXXXXXXXX XXXXX is in via XXXXXXXXX.<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX">2. Laura XXXXXXXX to shop at a XXXXXXXX XXXXXXX.</span></p> <p><span class="XX">3. Gina needs XX buy a gift for her sister XXXX.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">X. XXXX XXXX not want XX go XX a XXXXXXXX because XXX boutiques XXX very XXXXXXXXX.</span></p> <p><span class="s1">5. XXXX decides to XXX a XXXX of XXXXXXXX.</span></p> <p><br></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">[XXXXX part XX the assignment XXXXXX XX completed as it XX an XXXX assignment]</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Calcolate: Fill in the XXXXXXXXXXX number in Italian<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">1. Ventitre per XXX XXXXX XXXXXXXXXXX (XX)</span></p> <p><span XXXXX="s1">2. Cento diviso XXXXXXX XX XXXXXXXXXXX (XX)</span></p> <p><span class="XX">3. XXXXXXXXXX XXX XXXXXXXX fa XXXXXXXXXXX (63)</span></p> <p><span class="XX">4. Novantasette meno XXXXXXXXXXXXX fa XXXXXXXXX (XX)</span></p> <p><span XXXXX="XX">X. Ottanta diviso XXX XX quaranta (40)</span></p> <p><span XXXXX="XX">6. XXXXXXXXXXX XXXX XXXXXXXX fa trentacinque (35)</span></p> <p><span XXXXX="s1">7. XXXXXXXXXXXX XXXXXX ventotto XX XXX (2)</span></p> <p><span class="XX">X. Quattordici piu XXXXXXXXXXXXX fa novantuno (XX)</span></p> <p><span XXXXX="s1">9. XXXXX per otto fanno XXXXX cinquantasei (56)</span></p> <p><span class="s1">XX. XXXXXXXX per XXX XX novanta (90)</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1">46915</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="s1">B.<span XXXXX="XXXXX-converted-XXXXX"> </span>XXX hormone referred to in XXXX feedback mechanism is XXXXXXX. The XXXXXX is (X)</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">2.<span class="Apple-XXXXXXXXX-XXXXX"> </span>XXX answer is (B) XXXXXXXX mechanisms</span></p> <p><span class="s1"></span> </p> <p><span class="s1">X. XXX XXXXXX is (B)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">4. XXX XXXXXX is (X)</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">5. The XXXXXX XX (D)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X. XXX XXXXXX is (A)</span></p> <p><br></p> <p><span class="s1">59943</span></p> <p><span XXXXX="XX"></span> </p> <ol> <li><span XXXXX="s1">Quanto XXXXX il XXXXXXX?</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Il XXXXXXX XXXXX XXXXXXXX euro.</span></p> <p><span class="s1">2. Quanto XXXXXXX la XXXXXXX, la XXXXXXXX, i XXXXXXXXX e la giacca? (cannot XX answered because the prices are blurred)</span></p> <p><span class="s1">X. XXXXXX costano i XXXXX e XX XXXXXXXX?<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">XX XXXXX e XX maglione costano XXXXXXXXXXX XXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">4. XXXXXX XXXXXXX la XXXXXXXXXX e la XXXXX? (cannot be XXXXXXXX because the prices XXX blurred)</span></p> <p><span class="XX">X. Quanto XXXXXXXX il XXXXX, i guanti e la XXXXXXX? (cannot XX answered because XXX XXXXXX are blurred)</span></p> <p><span class="s1"></span> </p> <p><br></p> <p><br></p> <p><span XXXXX="s1">XXXXX</span></p> <p><span XXXXX="XX">XXXXX : I XXXXXX: XXXXXX anni XXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">uno, <strong>XXX, </XXXXXX>XXX <XXXXXX>quattro</strong> XXXXXX <XXXXXX>sei</strong> XXXXX <strong>otto </XXXXXX>nove <XXXXXX>XXXXX<span XXXXX="XXXXX-XXXXXXXXX-space"></span></XXXXXX></span></p> <p><span class="XX">XXXXXX <XXXXXX>XXXXXX </strong>tredici <XXXXXX>XXXXXXXXXXX </XXXXXX>quindici <XXXXXX>sedici</XXXXXX></span></p> <p><span class="XX"><strong>d</XXXXXX>XXXXXXXXXX<span XXXXX="XXXXX-converted-XXXXX"> </span><strong>diciotto </XXXXXX>diciannove <strong>XXXXX</XXXXXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"><strong>[The XXXX activity cannot XX completed because it is an XXXX exercise]</XXXXXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">III. Topic: I numeri telefonici</span></p> <p><span class="s1"></span> </p> <ol> <li><span class="XX">590 - XXXX: XXXXXX nove XXXX - tre XXX sei XXXXXXX<span class="XXXXX-converted-XXXXX"></span></span></li> <li><span XXXXX="XX">XXX - 7961: otto quattro tre - XXXXX XXXX XXX uno</span></li> </ol> <p><span class="XX"></span> </p> <p><span XXXXX="s1">C. <strong>[XXX next activity XXXXXX be completed XXXXXXX it XX an oral XXXXXXXX]</strong></span></p> <p><span XXXXX="s1"></span> </p> <p><br></p> <p><XX></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXX</span></p> <p><span XXXXX="s1">XXXXXXX XXX XXXX X QUESTIONS</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">1.<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">Increased XXXXX flow helps XXXXXX cells release XXXX energy XXXXXXX blood XXXXXXXX XXX XXXXXXXX needed for the cell to XXXXXXX catalytic reactions, XXXX XX XXXXXX, XXXXXXXXX, XXXXXXXX, XXXXXXXX XXX XXXXXXX.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span class="XX">X.</span></p> <p><span XXXXX="XX">The XXX solutions may XX of a different XXXXX after XXX XXXXXXXXX has been added to both.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X.<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">Pair X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXX endocrine system, XXXXXXXXX the circulatory XXXXXX, XXXXX XX secrete hormones XXX regulate bodily XXXXXXXXX. It XXXXXXXX of XXX XXXXXXXXX gland, the thyroid XXXXX ,XXX pancreas, XXX XXXXXXX XXXXXX and XXX XXXXXX (or ovaries in females). XXX secretions XX XXX XXXXXXXXX system XXX XXXXXXXXXXX XXXXXXX the XXXXX and arteries of XXX circulatory XXXXXX, where they travel and act XX XXXXXXX active sites in XXX body. XXXXX help to XXXXXXXX XXXXXXXXXXX in an XXXXXXXXXX, by secreting hormones that regulate XXXXXX XXXXXXXXXXXXXXX XXXX as temperature.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXX XXXX answers to question 4 and 5 XX XXX XXXXXXXXXXX XXX XXXX table XXXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X. XX XXXXXXXX increases, pulse rate XXXXXXXXX.</span></p> <p><span class="XX">X. XXX XXXXXXXXXXXXX could XX XXXXXXXX XX XXXXXXXXXX XXX sample size of XXX XXXXXXXXXX to include more students, XX XXXXX rates XXXXXX by student. XXX XXXXXXXX XXXXX XXXX XXXXXX a larger variety XX activities, XXXX XX XXXXXXXX or XXXXX down XXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X. (X)</span></p> <p><span class="XX"></span> </p> <p><span class="XX">7.<span class="XXXXX-converted-XXXXX"> </span>XXX histogram XXXXXXXX data XXXX 3+X+6+7+X+X = 27 XXXXXXXX</span></p> <p><span class="s1"></span> </p> <p><span class="XX">X. X pulse rate XXXXX 45 XXXXX XXXXXXX XXX XXXXXXXXX and normal circulation XX regulatory XXXXXXXX that regulate water levels, XXXXXXXXXXX, XXXXXX dioxide XXXXXX XXX other internal XXXXXX XXXXXXXXXX, because XXXXXXXX would not XX able XX XXXXX the active XXXXX in XXXX.XXXX XXXXX slow XXXX and disrupt XXX XXXXXXX of XXXXXXXXXXX.<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">9. XXX XXXX would XXXXXXX higher XXXXX XXXXX XXXXXX XXX whole XXXXXXXX of XXXXXXX XXXXX rates (in XXXXX words, XXX XXXXX would shift up).</span></p> <p><br></p> <p><span class="s1"></span> </p> <p><span class="s1">XXXXX</span></p> <p><span XXXXX="XX"></span> </p> <ol> <li><span class="XX">Marina XXXXX acquistare un XXXXXXXXXX italiano-XXXXXXX.</span></li> <li><span XXXXX="s1">XXXXXX XXXXX XXXXXXXX costa trentadue XXXX</span></li> <li><span class="s1">XXX XXX lo XXXXXX XXXXXX XXXXX troppo</span></li> <li><span XXXXX="s1">XXXXXX il dizionario XXX XXXXXXXXX che XXXXX XXXXXXX XXXX e cinquanta XXXXXXXXX.</span></li> <li><span XXXXX="s1">X stata XXXXXXXXXX di XXXXXX alla XXXXXXXX.</span></li><li></li> </ol> <p><span class="s1">XXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXX XX XXXXXXX practices</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXXXX Summer XXX Fasting XXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX in XXX margins:</span></p> <p><span class="XX">“XXX slippers… XXX to XXXX XXX XXXXXXXXXX”</span></p> <p><span class="XX"></span> </p> <p><span class="XX">“XXXXX I XXX thirsty, I XXX’t XXXX to XXXX that XXXX.”</span></p> <p><span XXXXX="XX"> “He has fasted XXXX sunup to XXXXXXX each day XXXXX the holiday XXXXXXX Aug 11.”</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">“Out: jaunts XX XXX beach (too thirst XXXXXXXX). XXX: XXXXX lunch XXXX friends. Out: XXXXXXX basketball for keeps.”</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">“ XXXXX XXX XXXX began&XXXXXX; [both] have XXXXXX XX until the XXXXX hours XX the morning so XXXX XXXXX XXXXX through XXXX of XXX hours XX XXXX. “</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">“He XXXXX video XXXXX and watches XXXXXX until about 6am, XXXX sleeps until 3pm, XX which time the XXXXXXX breakfast XXXXXXX XX in sight.”</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">“XXX young women XXXX they XXXXX their fasting days inside.”</span></p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXX: XXX XXXX XXXXX, Susan XXXXXXX</span></p> <p><span class="XX">Point of XXXX: XXXXXXX, investigative journalism</span></p> <p><span XXXXX="s1">XXXX Doc was XXXXXXX: 2010-8-XX</span></p> <p><span class="XX">Purpose: Investigate journalism, education, XXXXXXXXXXXXX</span></p> <p><span XXXXX="s1">Audience: XXXXXXX XXXXXX</span></p> <p><span class="s1">This document XX reliable because it XXX published XX a XXXXXXX XXXXXXXXX XXXX trained XXXXXXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXX XXXX this XXXXXXX show us XXXXX XXXXX a Muslim during XXX holy XXXXX XX XXXXXXX?</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXX XXXXXXXX from XXX XXXXXXX:</span></p> <p><span class="XX"></span> </p> <p><span class="XX" <XXX="" article="" suggests="" that="" XXXXXXX="" need="" XX="" observe="" fasting="" (or="" XXXXXXXXXX="" from="" XXXX)="" sunrise="" sundown,="" XXXXX="" XXXXXXXX="" XXXX="" and="" XXXXX.="">span XXXXX="Apple-converted-space"></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXX:<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX" <this="" article="" XXXXX="" XXXX="" the="" XXXXXXX="" XXXXXXXX="" XXXXXX="" ramadan="" XXXXXXXX="" muslims="" XXXX="" XXXXXXXX="" in="" XXXXXXX="" social="" XXXXXXXXXX="" such="" XX="" going="" out="" XX="" XXXXX,="" due="" fears="" of="" XXXXXX="" XXX="" hunger.="" also="" how="" XXXX="" muslim="" XXXXX="" XXXXXX="" their="" XXXXXXXX="" patterns="" XXX="" XXXXX.="">span class="Apple-converted-XXXXX"&XX;</span></p> <p><br></p> <p><br></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">04527/05729</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">The XXXX XX Gilgamesh is an XXXXXXX text XXX XXXXXXXX poem with tremendous literary XXXXX, that XXX XXXX studied XXX XXXXXXXXX. XXXX essay will analyse XXX XXXXXXX XXXX the Epic of Gilgamesh with regard to XXXXX XXXXXX: XXX legitimacy XX XXXXXXXXXX, XXX XXXXX-XXXXX XXXXXX XXX the status XX women.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">Foremost, XXX excerpt XXXXX how a XXXXX king, XXXXXXXXX, XXXXXX his people XX XXXXX a XXXXX XXXX around XXX XXXX XXX XXXX XXX XXXXXX restless. XX a result, the XXXXXX cried out XXX XXXXX, XXX XXXXXXXXX was XXXXX and bitter, and so XXX XXX listen to XXX suffering XX XXX XXXXXX. The XXX XXX created a XXXXXXXXXX, Enkidu, as a result.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">This XXXXXXXXXXXX how XXXX government should always be in XXXXXXXXXX XXXX XXX XXXX XX XXX people, XXX be responsive to their XXXXX. XXXXXXXXXXX around the XXXXX XXXXX frequently neglect XXX XXXXX of XXXXX people, XXX in so doing, XXXXXX rebellious populations and XXX seeds XX XXXXX own XXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXX, XXX Epic XX Gilgamesh demonstrates XXX XXXXXXXXXXX XXXXXXX Gilgamesh, XXX XX a XXXX-hearted ruler XXXXXX XXXXX urban quarters, XXX XXX rival Enkidu, XXX is kind XXXXXXX and raised in nature. XXXX demonstrates the difference XXXXXXX people XXX grew XX in XXXXX environments and XXXXXX who grew XX in rural XXXXXXXXXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Finally, the excerpt gives its readers a hint as to the status of XXXXX in ancient XXXXXXXXXXXX XXX Sumerian society. XXXXXXX XX XXXX given XXXXX and agency XX an XXXXXXXXXX XXX seduces XXXXXX XXXXXXX her XXXXXXXXX and charm. XXXX may indicate XXXX ancient XXXXXXXXX XXXXXXXXXXXXX saw women as XXXXXXX of attraction, and as XXXXXXX XX be used.<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><br></p> <p><span class="XX">5267</span></p> <p><span class="XX"></span> </p> <p><span class="XX">X.<span XXXXX="Apple-converted-XXXXX"> </span>XXXXXXXX<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Blood Glucose Concentration over time (x = XXXX(h), y = blood glucose XXXXXXXXXXXXX)<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X. XXX likely cause for XXX change in blood glucose concentration XXXXXXX hour XX XXX hour 24 is XXX XXXXXXXXX XXX metabolization of food during resting periods.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">X. XXX blood XXXXXXX concentration XXXXXX XXXXXX XXXX been more pronounced (ie. XXX XXXX in XXXXX XXXXXXX or rise in XXXXX XXXXXXX XXXXX have been XXXXXXX)</span></p> <p><span class="s1"></span> </p> <p><span class="s1">10.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">XXX XXXXXX XX Row 1 (X = XXXXXXXXX, Y = regulation)</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">11.<span class="Apple-converted-space"></span></span></p> <p><span class="XX">(2) making more XXXXXXX X, only</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XX.</span></p> <p><span class="XX">(3) XXXXXX XXX XXXXXXXXXXXX intake in body system X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XX.</span></p> <p><span XXXXX="XX">(X) XXXXX to increase the synthesis of hormone X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><br></p> <p><br></p> <p><span XXXXX="s1">06636</span></p> <p><span XXXXX="s1"></span> </p> <ol> <li><span class="s1">Yes.</span></li> <li><span XXXXX="s1">Yes.</span></li> <li><span XXXXX="s1">Yes.</span></li> <li><span class="s1">Which XXX code? - I XXXXX XXXX law XXXX A XX it XXXX XXXX clear XXXXX XXX expectations for marriage which prevent XXXXXXX conflict and XXXXX.</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span class="s1">Historic context</span></p> <p><span class="XX">Who: Justinian</span></p> <p><span XXXXX="s1">What: Description XX Justinian’s XXXXX, XXXXXXXXX, XXXXX XXXXXX and political achievements</span></p> <p><span XXXXX="s1">XXXX: Sixth century</span></p> <p><span class="XX">Why: XXXX to consolidate XXX XXXXXXX his expanding political XXXXXX, to unify XXX empire XXX provide a sense of stability for his people.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Step X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXX: Justinian</span></p> <p><span XXXXX="XX">Where: XXXXXXXXX XXXXXX</span></p> <p><span class="XX">How:<span class="Apple-XXXXXXXXX-space"> </span>Created XXXXXXX XXX, XXXXXXXXX XXXXXXX in the Eastern Orthodox Church, XXXXXXXXX a centralized government, XXXXXXXXX lands, drafted XXXXXXXXX’s Code which included XXXX on marriage, slavery, property, ownership, XXXXX’s XXXXXX XXX criminal XXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Scenario 1: XXXX XXXXXXXXXX? XX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Scenario X: XXXX punishment? XX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXXXXX X: Same punishment? NO.<span class="Apple-converted-space"></span></span></p> <p><br></p> <p><span XXXXX="s1">08031</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXX part XXX XXXX; could not XX XXXXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span class="XX">X. Identificazioni.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">1. è la fronte.</span></p> <p><span XXXXX="XX">2. questi XXXX i piedi.</span></p> <p><span class="XX">3. X la bocca.</span></p> <p><span class="s1">4. questi sono gli XXXXX.</span></p> <p><span class="s1">5. X la XXXXXX.</span></p> <p><span class="XX">X. queste XXXX le XXXX.</span></p> <p><span class="s1">X. questo è lo XXXXXXX.</span></p> <p><span XXXXX="s1">X. è il collo.</span></p> <p><span class="s1">9. XXXXXX è la vita.</span></p> <p><br></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">83646</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXXXX costano</span></p> <p><span XXXXX="XX">XXXXXX costa?</span></p> <p><span class="s1"></span> </p> <p><span class="XX">Exercise A</span></p> <p><span class="s1"></span> </p> <p><span class="s1">1.XX caffe decaffeinato XXXXX XXXXXXX centesimi<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">X. Un XXXXX XXXXXX XXXXX XXXXXXXXXXXXX centesimi</span></p> <p><span class="s1">3. XX cappucino XXXXX XX euro e venti</span></p> <p><span XXXXX="XX">X. Un cioccolato in tazza costa un XXXX e XXXXXXXXX</span></p> <p><span class="s1">X. Un XX XXXXX XX euro e trenta</span></p> <p><span class="XX">X. Un latte in bicchiere costa XXXXXXXXXXXXXX centesimi<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="s1">X. Un te freddo XXXXX un euro</span></p> <p><span XXXXX="s1">X. Un bibita in XXXXXXX costa XX euro e novanta</span></p> <p><span XXXXX="s1">X. I XXXXXX di XXXXXX costa due XXXX e dieci</span></p> <p><span class="XX">10. XX spremute di agrumi costa due euro e sessanta</span></p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">Exercise X</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XX biglietto per XX Gran Bretagna costa seicento novanta</span></p> <p><span XXXXX="XX">XX XXXXXXXXX XXX il XXXXXXXXXX costa un XXXXX diciannove</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XX XXXXXXXXX per il XXXXXX XXXXX un XXXXX XXXXXXXX XXXXXXXXXX XXXX.<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">XX XXXXXXXXX XXX XX XXXXXXX costa XXXXXXXXX XXXXXXXXXXXXXX euro.</span></p> <p><span XXXXX="s1">XX XXXXXXXXX per il Spagna costa un mille XXXXXXXX ventinove.</span></p> <p><span XXXXX="s1">XX biglietto XXX il XXXXXXX costa novecento sessantanove.<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1">XX XXXXXXXXX XXX XX XXXXXXXX XXXXX XX mille centouno XXXXXXXXXX</span></p> <p><span XXXXX="XX">Un biglietto XXX XX Italia XXXXX un XXXXX sessantacinque</span></p> <p><br></p> <p><span class="s1">XXXXX</span></p> <p><span class="s1">Attivita</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Rispondi alle XXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">1.La camicia e XX disco costano trentanove XXXX o XXXXXXXXXX dollari.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span class="XX">X. XX libro e XX XXXXXXXX costano diciotto XXXX o diciotto XXXXXXX.<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">X. XX XXXXXXX, il XXXXXXXX ed i pantaloni costano XXXXXXXXXXXX euro o XXXXXXXXXXXX dollari.<span XXXXX="Apple-converted-space"></span></span></p> <p><span class="XX">4. XXX XXXXXXX XXXXXXX cento XXXX o XXXXX dollari.<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="s1">5. Con XXXXXXXXXXXXXXXX euro, posso comprare tutto XXXXXX XXX XXXXXXX.</span></p> <p><span class="s1"></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X. XX XXXXX X di due euro e XXXXXXXX XXXXXXXXX.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX">X. Il resto X di trenta centesimi.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">3. Il resto è di novanta XXXXXXXXX.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">X. Il XXXXX X di XXX XXXX e cinquantacinque XXXXXXXXX.<span XXXXX="Apple-converted-space"></span></span></p> <p><span class="XX">5. XX XXXXX X di XXXXXX euro e XXXXXXXXXX centesimi.<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="s1">6. XX resto è di ventiquattro centesimi.<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <ol> <li><span XXXXX="s1">XX televisione XXXXX duecentocinquanta XXXX.</span></li> <li><span XXXXX="XX">L'automobile costa seimila XXXXXXXXXXX euro.</span></li> </ol> <p><span class="XX">X. La macchina fotografica costa duecentoventicinque euro.</span></p> <p><span XXXXX="s1">X. Il divano XXXXX XXXXXXX euro</span></p> <p><span class="s1">5. XX casa costa quattrocentomila euro.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><XX></p> <p><span XXXXX="s1">95824</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXX XXXXX XXX XXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">è l'XXXX XXXXXXX diciotto</span></p> <p><span class="s1">Sarà l’anno duemila diciannove XXX XXXXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <ol> <li><span class="XX">XXXX XXXX XXX millenovecento XXXXXXXXXXXXXXXX 1954</span></li> <li><span class="s1">XXXX XXXX XXX XXXXXXX XXXXXXXXXXX XXXX</span></li> <li><span XXXXX="XX">XXXX nato nel XXXXXXXXXXXXXX XXXXXXXXXXXXXX 1975</span></li> <li><span class="XX">Sono XXXX nel millenovecento XXXXXXXXXXXXXXX</span></li> <li><span class="XX">Sono nato XXX duemila XXXX XXXX</span></li> <li><span class="XX">XXXX XXXX XXX millenovecento XXXXXXXXX XXXX</span></li> <li><span XXXXX="XX">Sono XXXX XXX millenovecento novantuno1991</span></li> <li><span XXXXX="XX">Sono XXXX nel XXXXXXX XXX 2001</span></li> <li><span class="s1">Sono XXXX XXX XXXXXXXXXXXXXX XXXXXXX XXXX</span></li> <li><span XXXXX="XXXXX-tab-span"> </span>XX.<span XXXXX="XX">XXXX nato XXX XXXXXXXXXXXXXX tredici XXXX</span></li> </ol> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">X l'XXXX XXXXXXX XXXXXXXX</span></p> <p><span XXXXX="s1">XXXXX e XXXX XXX millenovecento XXXXXXX. Ha anni trentotto</span></p> <p><span XXXXX="XX">XXXXXXX e XXXX XXX XXXXXXXXXXXXXX XXXXXXXXXXXX. XXX XX XXXX sessanta</span></p> <p><span XXXXX="XX">XXXXXX e XXXX XXX millenovecento XXXXXXXXXXXXXXX. XXX XX XXXX sessantatre</span></p> <p><span XXXXX="s1">Roberto e nata nel millenovecento sessanta. Ha anni cinquantotto</span></p> <p><span class="s1">Monica e XXXX XXX XXXXXXXXXXXXXX XXXXXXXXX. Lei ha anni trentasette</span></p> <p><span XXXXX="XX">XXXXXXX e nata XXX XXXXXXXXXXXXXX XXXXXX. Ha anni ottantotto</span></p> <p><span class="s1">Lucia e nata nel XXXXXXXXXXXXXX cinquanta. Lei ha XXXX XXXXXXXXXXX</span></p> <p><span class="s1">XXXXXX e XXXX nel XXXXXXXXXXXXXX XXXXXXXXXXXX. XXX XX anni XXXXXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><XX></p> <p><br></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.XXX</span></p> <p><span XXXXX="s1">XXXXXXX 1: Expressions</span></p> <p><span XXXXX="XX">XXXXXXX 1 - Topic 1</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">a.<span class="Apple-converted-XXXXX"> </span>XXXXXX Island would XXXXXXXX XX x 5 = 290 trips</span></p> <p><span class="XX">b. XXXXXX XXXXXX XXXXX XXXXXXXX 58x XXXXX each XXX</span></p> <p><span XXXXX="s1">c. East River XXXXX would XXXXXXXX 32 x 5 = XXX trips</span></p> <p><span XXXXX="XX">d. XXXX River XXXXX XXXXX complete XXX trips XXXX XXX</span></p> <p><span XXXXX="XX">e. Total is XXXXX XX XXX + XXX = 90x<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1">f. XXXXX is XXXXX by XX(X) + 32(5) = 90(X) = XXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXX’s practice</span></p> <p><span XXXXX="s1">X. a. Let XXXXXXX be c, games XX g. 299c + 59.99g</span></p> <p><span class="s1">b. (1)(299) + XX.99(X) = XXX.XX</span></p> <p><span XXXXX="s1">c. XXX XXXXX controller be e.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">Equation XX XXXXX XX XXX c + 59.99 g + 29.99 e</span></p> <p><span XXXXX="XX">d. XXXX is given XX</span></p> <p><span class="XX">XXX c + 59.99 g + XX.XX e</span></p> <p><span class="s1">XXX(1) + XX.99(X) + 29.XX(X) = XXX.95</span></p> <p><span class="s1"></span> </p> <p><span class="XX">Try It!</span></p> <p><span class="XX">2. XXX tickets be t, water bottles XX w, pretzels XX p.</span></p> <p><span XXXXX="s1">XXXXXXXX is 55.XX+ X.XX + 5p</span></p> <p><span XXXXX="s1">XXXXXXXXXXX is 55.5, X.X, X.</span></p> <p><span class="XX">Variables XXX t, w, p.</span></p> <p><span XXXXX="XX">There are no XXXXXXXX XXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">3. a. y = XXX + 24o, XXXXX p = XXXXXX and o = XXXXXX</span></p> <p><span XXXXX="XX">b. x &XX; y XX XXXXXX must XXX less XXXX or XXXXX XX XXX XXXXX XXXXXX of rice he has XX hand.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Beat the XXXX!</span></p> <ol> <li></li> </ol> <p><span XXXXX="s1">XXX: XXXX = 175+ 7 x 2 x k = 175 + XXX<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">EHP: cost = XXX</span></p> <p><span XXXXX="XX" <the="" XXXXXXX="" answers="" XXX="">span XXXXX="Apple-converted-space"></span></p> <p><span class="XX">[] XXX expression XXX represents the XXXXX XXXXXX for EHP</span></p> <p><span class="s1">[] XX Jose XXXXX XXX painters for 10 XXXXX, then XXX XXXXX be cheaper (XX. in XXXX case, XXX is 230)</span></p> <p><span class="XX">[] If Jose hires the XXXXXXXX for XX hours, XXXX XXX would XX cheaper (ie. in this XXXX, XXX is 455 and XXX XX XXX)</span></p> <p><span class="XX"></span> </p> <p><span class="s1">2. B</span></p> <p><span class="s1">XXXX XXXXXXX equation: X.95 (XXXX)</span></p> <p><span class="XX">Harvester XXXXXXXX: X.90 (22000m)</span></p> <p><span XXXXX="XX">XXXXXXXX equation: 0.XX (200h) + 0.90 (22000m)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Answer XX X.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Section X Topic X: Algebraic Expressions Using Distributive Property</span></p> <p><span class="XX">XXXXX XX the XXXXX distribution:</span></p> <p><span XXXXX="s1">(a + X) (a + 2) = a</span><span XXXXX="XX"><sup>2 </XXX></span><span class="XX">+ 3a + XX + X =<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>a</span><span class="s2"><sup>2 </sup></span><span XXXXX="s1">+ XX + X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXX’s XXXXXXXX!</span></p> <p><span XXXXX="s1">X.</span></p> <p><span class="XX">3(x + XX - XX)<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">XXXXX distribution:</span></p> <p><span XXXXX="s1">XX + XX - 21z</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXX modelling:</span></p> <p><span XXXXX="s1">3 <strong>x </strong>x = XX</span></p> <p><span XXXXX="XX">X <XXXXXX>x </XXXXXX>XX = XX</span></p> <p><span class="XX">X <XXXXXX>x -</XXXXXX>XX =<strong> -</strong>XXX<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">Add XXXX XX to get XXX same XXXXXX:</span></p> <p><span XXXXX="XX">XX + XX - XXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1">2.</span></p> <p><span class="XX">XXXXX XXXXXXXXX:</span></p> <p><span XXXXX="s1">XXX them XX XX XXX:</span></p> <p><span class="s1">(x - 3) (x - X)</span></p> <p><span class="s1">= x</span><span class="XX"><XXX>2 </sup></span><span XXXXX="XX">-XX + 6</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">Using distributive property:</span></p> <p><span class="XX">(x - 3) (x - 2)</span></p> <p><span XXXXX="s1">= x</span><span XXXXX="XX"><sup>2 </sup></span><span class="XX">-5x + X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXX XX!</span></p> <p><span XXXXX="XX">3. XXXXX XXXXXXXXXXXX XXXXXXXX</span></p> <p><span XXXXX="s1">(m+5) (m - X)</span></p> <p><span class="s1">= m</span><span XXXXX="s2"><XXX>2 </sup></span><span XXXXX="XX">-XX + XX - XX</span></p> <p><span XXXXX="s1">= m</span><span XXXXX="XX"><XXX>2 </sup></span><span XXXXX="XX">+ XX - XX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Beat the Test!</span></p> <p><span class="s1">1.</span></p> <p><span class="s1">XXXXXXX X:<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1">(x - 5) (x - 2)</span></p> <p><span class="XX">= x</span><span class="s2"><XXX>X </XXX></span><span class="s1">-2x - XX + XX</span></p> <p><span class="XX">XXXXXXX forgot XX XXXXXXXX XXXXXX XXXXXXXXXXX, directly multiplying terms only once, and missed out -2x XXX -XX as a XXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Student 2:</span></p> <p><span XXXXX="s1">(x-X) (x - 2)</span></p> <p><span class="s1"><span XXXXX="XXXXX-converted-XXXXX"></span>= x</span><span class="XX"><sup>2 </XXX></span><span XXXXX="XX">-2x - 5x + 10</span></p> <p><span class="XX">= x</span><span XXXXX="XX"><sup>2 </sup></span><span class="s1">-7x + XX</span></p> <p><span class="s1">XXXXXXX is XXXXXXX!</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXX 3:</span></p> <p><span class="s1">XXXXXXX XX XXXXXXXXX.</span></p> <p><span class="s1">XXXXXXX XXXXXX XXXX - XXX -, XXXX multiplied, XXXXXX a plus. Student XXXXXXXXX has XXX wrong XXXX XXX XXX constant XX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span></p> <p><span class="XX">Section X - Topic X</span></p> <p><span class="s1">5 + 2 = 7</span></p> <p><span XXXXX="XX">X + X = 7</span></p> <p><span XXXXX="s1">For addition, it does not matter.</span></p> <p><span class="s1">9 x 2 = XX</span></p> <p><span XXXXX="s1">2 x X = XX</span></p> <p><span XXXXX="XX">XXX multiplication, it does not XXXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">&XX; The order of the XXXXXXX XXX XX <XXXXXX>XXXXXXXXXXX </XXXXXX>XXXXXXX XXXXXXXXX XXX <strong>result </XXXXXX>or <XXXXXX>XXXX</strong></span></p> <p><span class="s1"><strong>&XX; </strong>If a XXX b XXX real XXXXXXX, XXXX a + b = a + b XXX a x b = ab</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXX XXXXXXXXXXX XXXXXXXX XXXX not XXXX true XXX division and XXXXXXXXXXX:</span></p> <p><span XXXXX="s1">2/X = X.6666, XXXXXXX 3/X = X.5</span></p> <p><span XXXXX="XX">2 - X = -X, whereas X - 2 = X</span></p> <p><span XXXXX="s1">Different results XXX XXXXXXXX.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXX X + X + X.<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span class="XX">2 + X + X = 12</span></p> <p><span XXXXX="s1">(X + 4) + 6 = XX</span></p> <p><span XXXXX="XX">X + (X + 6) = XX</span></p> <p><span XXXXX="XX">XXXXXXXXXXX do XXX change the sum.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXXXXXX 3 . 6 . 4.</span></p> <p><span class="XX">3 . 6 . X = 72</span></p> <p><span class="XX">3 . (X . 4) = XX</span></p> <p><span XXXXX="XX">(X . X) . 4 = 72</span></p> <p><span XXXXX="XX">XXXXXXXXXXX do not XXXXXX the XXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">This is XXX <XXXXXX>XXXXXXXXXXX property</strong></span></p> <p><span XXXXX="s1">The result of XXX numbers XXXX not XXXXXX.</span></p> <p><span class="s1">The grouping of the numbers XXX XXXXXX and does not XXXXXX the result or sign.</span></p> <p><span class="XX">XX &XXXXXX;. XXXX (a+b) + c = a + b + c XXX (ab)c = abc.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXX associative XXXXXXXX XXXX not hold true for XXXXXXXX and XXXXXXXXXXX:</span></p> <p><span XXXXX="s1">40 ÷ XX ÷ 2 = X</span></p> <p><span XXXXX="s1">40 ÷ (XX ÷ 2) = 40 ÷ X = 8</span></p> <p><span class="s1">(40 ÷ XX) ÷ X = 2</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XX - 10 - X = XX</span></p> <p><span XXXXX="XX">XX - (XX - X) = XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Let’s practice!</span></p> <p><span class="s1">X.<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <ol> <li><span class="XX">Associative property</span></li> </ol> <p><span class="XX">b. XXXXXXXXXXX<span class="Apple-XXXXXXXXX-XXXXX"> </span>property</span></p> <p><span class="s1">c. XXXXXXXXXXX property</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">X.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">a. Commutative and XXXXXXXXXXX XXXXXXXX (there is XXXX XXXXXXXXXXX XXX XXXXXXXXXXX of XXXXX)</span></p> <p><span XXXXX="XX">b. Associative property</span></p> <p><span class="XX">c. XXXXXXXXXXX property</span></p> <p><span XXXXX="s1">d. Commutative XXX associative property (there XX XXXX parenthesis XXX XXXXXXXXXXX XX XXXXX)</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">3.</span></p> <p><span class="XX">(3x) (XX) = X (x . 2) y<span class="Apple-converted-XXXXX"> </span>XXXXXXXXXXX property</span></p> <p><span XXXXX="s1">= 3 (2 . x) y<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>commutative XXXXXXXX</span></p> <p><span class="s1">= (3 . X) (x . y) <span class="XXXXX-converted-XXXXX"> </span>associative property</span></p> <p><span class="XX">= 6xy</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXX the XXXX!</span></p> <p><span XXXXX="XX">1.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <ol> <li><span XXXXX="s1">Commutative property of addition</span></li> </ol> <p><span XXXXX="s1">X. Associative XXXXXXXX of XXXXXXXX</span></p> <p><span XXXXX="s1">3. XXXXXXXXXXXX XXXXXXXX of XXXXXXXXXXXXXX</span></p> <p><span class="XX">4. Commutative property of XXXXXXXX</span></p> <p><span class="XX">X. XXXXX an equivalent XXXXXXXXXX</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Section X - XXXXX 4</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">X</span><span XXXXX="XX"><XXX>4 </sup></span><span XXXXX="XX">= 16</span></p> <p><span class="XX">2</span><span class="XX"><sup>3 </sup></span><span XXXXX="s1">= 8</span></p> <p><span XXXXX="XX">2</span><span XXXXX="XX"><XXX>2 </XXX></span><span class="XX">= X</span></p> <p><span class="s1">X</span><span XXXXX="XX"><XXX>X </sup></span><span class="s1">= 2</span></p> <p><span class="s1">Each is half of XXX previous XXX (divided XX 2 each time)</span></p> <p><span class="s1">X</span><span XXXXX="s2"><XXX>0 </XXX></span><span class="XX">= 1</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">This XX XXX XXXX exponent XXXXXXXX</span></p> <p><span class="XX">a</span><span class="s2"><XXX>0 </XXX></span><span XXXXX="s1">= X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXXXXXXXXX the XXXXXXX…</span></p> <p><span class="XX">2</span><span class="s2"><sup>-X </XXX></span><span class="s1">= 1/2 = X.5</span></p> <p><span class="XX">2</span><span class="s2"><XXX>-X </sup></span><span class="s1">= X/X = X.XX<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span class="s1"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span>a</span><span class="s2"><sup>-n </XXX></span><span class="s1">= 1/</span><span class="s2"> </span><span XXXXX="XX">a</span><span class="s2"><sup>n</sup></span></p> <p><span class="s1">X/a</span><span XXXXX="s2"><XXX>-n </XXX></span><span XXXXX="s1">= a</span><span class="XX"><sup>n</sup></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">2</span><span XXXXX="s1"><XXX>3 . </sup></span><span XXXXX="XX">X</span><span class="XX"><sup>4<span XXXXX="XXXXX-XXXXXXXXX-space"> </span></XXX></span><span class="XX">= 2</span><span class="s1"><sup>X</XXX></span></p> <p><span XXXXX="XX">X</span><span XXXXX="s1"><XXX>X . </sup></span><span class="XX">2</span><span XXXXX="XX"><sup>-3<span XXXXX="XXXXX-XXXXXXXXX-space"> </span></XXX></span><span class="XX">=<span class="Apple-XXXXXXXXX-XXXXX"> </span>X</span><span XXXXX="XX"><XXX>2</sup></span></p> <p><span class="XX">x</span><span XXXXX="s1"><XXX>3 . </XXX></span><span XXXXX="s3">x</span><span class="XX"><sup>2<span class="Apple-XXXXXXXXX-space"> </span></XXX></span><span class="s3">= x</span><span class="XX"><sup>5</XXX></span></p> <p><span class="XX"></span> </p> <p><span class="s1" <this="" is="" the="" XXXXXXX="" property:="">span XXXXX="Apple-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">a</span><span class="XX"><sup>m . </sup></span><span XXXXX="s3">a</span><span XXXXX="s1"><sup>n<span class="XXXXX-XXXXXXXXX-XXXXX"> </span></XXX></span><span class="s3">= a</span><span class="XX"><sup>m+n</XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXXXXXX:</span></p> <p><span class="s1"></span> </p> <p><span class="XX">X</span><span XXXXX="XX"><sup>X </sup></span><span class="XX">/ X</span><span XXXXX="s2"><XXX>3<span XXXXX="Apple-converted-XXXXX"> </span></sup></span><span XXXXX="XX">= 4</span><span class="s2"><XXX>X</XXX></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">x</span><span XXXXX="s1"><XXX>X<span class="Apple-XXXXXXXXX-space"> </span></sup></span><span XXXXX="s3">/ x</span><span class="s1"><XXX>8<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span></sup></span><span XXXXX="s3">= x</span><span class="XX"><sup>-X</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">a</span><span class="s1"><sup>m </XXX></span><span class="XX">/ a</span><span XXXXX="XX"><sup>n<span XXXXX="XXXXX-XXXXXXXXX-space"> </span></XXX></span><span class="s3">= a</span><span class="s1"><XXX>m-n</XXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Exponent:</span></p> <p><span class="XX">(X</span><span XXXXX="s2"><XXX>X </XXX></span><span XXXXX="s1">)</span><span class="s2"><sup>X </XXX></span><span class="s1">= 5</span><span class="s2"><sup>6</XXX></span></p> <p><span XXXXX="s3">(y</span><span class="XX"><XXX>4 </XXX></span><span XXXXX="s3">)</span><span class="XX"><XXX>X </sup></span><span class="XX">= y</span><span XXXXX="s1"><sup>XX</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXX property: (a</span><span XXXXX="XX"><sup>m </sup></span><span XXXXX="XX">)</span><span class="XX"><sup>n </sup></span><span class="s1">= a</span><span class="s2"><XXX>mn</sup></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">…</span></p> <p><span class="XX"></span> </p> <p><span class="XX">(X . X) </span><span class="s2"><XXX>2 </XXX></span><span class="s1">= (6) </span><span XXXXX="s2"><XXX>X </XXX></span><span XXXXX="s1">= XX</span></p> <p><span XXXXX="XX">(4 . x) </span><span class="s2"><sup>X </sup></span><span class="XX">= (XX) </span><span XXXXX="s2"><XXX>X</XXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX" <this="" XX="" the="" XXXXX="" of="" a="" product="" XXXXXXXX:="" (ab)<="" span="">&XX;span XXXXX="s2"&XX;<sup>n </XXX></span><span class="s1">= a</span><span class="s2"><XXX>n</sup></span><span XXXXX="XX">b</span><span class="XX"><sup>n<span class="XXXXX-XXXXXXXXX-space"></span></XXX></span></p> <p><span class="XX">= (a</span><span XXXXX="XX"><XXX>.</XXX></span><span XXXXX="XX">b)</span><span class="XX"><XXX>n<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">(XX/3) </span><span XXXXX="s2"><XXX>X</XXX></span><span XXXXX="XX"> = X.67 </span><span class="s2"><sup>2</sup></span></p> <p><span XXXXX="s1">(6/y) </span><span XXXXX="XX"><sup>2</sup></span><span XXXXX="s1"> = X</span><span XXXXX="XX"><sup>X</sup></span><span class="s1">/y</span><span XXXXX="s2"><XXX>2</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1" <XXXX="" XX="" XXX="" XXXXX="" XX="" a="" quotient="" property:="" (a="" b)<="" span="">>span XXXXX="s2"&XX;<sup>n</XXX></span><span class="s1"> = a</span><span XXXXX="s2"><sup>n</sup></span><span XXXXX="s1">/b</span><span XXXXX="s2"><XXX>n</sup></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXX’s practice!</span></p> <ol> <li><span XXXXX="XX">a.<span class="Apple-converted-XXXXX"> </span>X</span><span XXXXX="s2"><XXX>3</sup></span><span class="XX">. X</span><span class="XX"><XXX>4 </XXX></span><span class="s1">= X</span><span XXXXX="s2"><sup>X</sup></span><span class="s1">, (X</span><span class="XX"><XXX>9</sup></span><span XXXXX="XX">)/(3</span><span XXXXX="XX"><sup>2</sup></span><span XXXXX="XX">) = X</span><span XXXXX="s2"><XXX>9-X </XXX></span><span XXXXX="XX">= 3</span><span class="s2"><sup>7</XXX></span></li> </ol> <p><span class="s1">The XXXXXXXX is true.</span></p> <p><span class="XX">b. (5 . X</span><span class="XX"><XXX>2 </XXX></span><span class="XX">) </span><span XXXXX="XX"><sup>3</sup></span><span class="XX">= 5</span><span XXXXX="XX"><sup>4 . </sup></span><span XXXXX="s1">X</span><span XXXXX="XX"><XXX>X</XXX></span><span class="s1"> </span><span class="s2"><XXX>. </sup></span><span class="s1">(4 </span><span XXXXX="s2"><sup>X </sup></span><span XXXXX="XX">/ X</span><span XXXXX="XX"><XXX>-1</sup></span><span XXXXX="XX">)</span><span class="XX"><sup>-1</sup></span></p> <p><span class="XX">(5 . 4</span><span class="XX"><sup>2 </XXX></span><span XXXXX="XX">) </span><span XXXXX="XX"><sup>3</sup></span><span XXXXX="XX">= 5</span><span class="s2"><XXX>3 . </sup></span><span XXXXX="XX">X</span><span class="s2"><sup>X</XXX></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s3">X</span><span class="s1"><sup>4 . </sup></span><span XXXXX="XX">5</span><span XXXXX="XX"><XXX>X</sup></span><span class="XX"> </span><span XXXXX="XX"><sup>. </XXX></span><span XXXXX="XX">(4 </span><span class="XX"><XXX>X </XXX></span><span XXXXX="XX">/ 5</span><span class="XX"><XXX>-X</XXX></span><span XXXXX="s3">)</span><span XXXXX="s1"><sup>-1 </XXX></span><span XXXXX="XX">= X</span><span XXXXX="s1"><sup>X . </XXX></span><span XXXXX="s3">X</span><span XXXXX="XX"><sup>X</sup></span><span class="s3"> </span><span class="XX"><XXX>. </sup></span><span XXXXX="s3">(X</span><span XXXXX="XX"><XXX>-6 </XXX></span><span XXXXX="XX">/ 5</span><span class="s1"><XXX>X</sup></span><span class="s3">) = X </span><span class="XX"><XXX>. </sup></span><span XXXXX="XX">4</span><span class="XX"><XXX>-X<span XXXXX="XXXXX-converted-space"> </span>.<span XXXXX="XXXXX-converted-XXXXX"> </span></XXX></span><span class="s3">5</span><span XXXXX="XX"><XXX>X </XXX></span><span class="XX">= X</span><span XXXXX="s1"><sup>3 </XXX></span><span XXXXX="XX">/X</span><span class="XX"><sup>X</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="XX" <XXX="" XXXXXXXX="" XX="" XXXXX.="">span XXXXX="Apple-converted-XXXXX"&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Try XX!</span></p> <p><span XXXXX="XX">X matches XXXX II</span></p> <p><span XXXXX="XX">X matches XXXX I</span></p> <p><span XXXXX="s1">C XXXXXXX XXXX XX</span></p> <p><span XXXXX="s1">D XXXXXXX with X</span></p> <p><span class="XX">E XXXXXXX XXXX XXX</span></p> <p><span class="s1">F matches XXXX VI</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Beat the XXXX!</span></p> <p><span XXXXX="XX">1. Part A:</span></p> <p><span XXXXX="XX">Crosby is correct. XXXXXXX X x X x X x 3 x 3 = 3 XX the XXXXX XX X.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="XX">2. XXXX is XXXXXXX. This XX because X XX XXX XXXXX of X divided XX X to XXXXX of 2 is 3 to XXX XXXXX of (X-X) = X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXX X - XXXXX 5</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X </span><span XXXXX="s2"><XXX>X/X </sup></span><span XXXXX="XX">= X </span><span XXXXX="s2"><sup>X/2</XXX></span><span XXXXX="XX"> = 3</span></p> <p><span class="s1">8 </span><span class="s2"><sup>1/3 </XXX></span><span XXXXX="XX">= 2 </span><span class="s2"><sup>X/3</sup></span><span XXXXX="XX"> = 2</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXX pattern is that XXXX all XXXXX a number XX XXX XXXXX XX 1.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">2 </span><span XXXXX="s2"><XXX>X/3 </XXX></span><span class="XX">= </span><span class="XX"><XXX>3</XXX></span><span class="s1">√X </span><span XXXXX="XX"><XXX>2</XXX></span></p> <p><span class="XX">X </span><span XXXXX="XX"><sup>3/2 </sup></span><span XXXXX="XX">= </span><span XXXXX="XX"><XXX>2</XXX></span><span class="s1">√5 </span><span XXXXX="s2"><sup>X</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="s1">For XXXXXXXXX XXXX XXX XXXXXXXX XXXXXXX, XXXX as a/b , we have x </span><span class="s2"><XXX>a/b </XXX></span><span XXXXX="XX">= </span><span XXXXX="s2"><sup>b</sup></span><span XXXXX="s1">√x </span><span class="XX"><sup>a</XXX></span><span XXXXX="XX"> = ( x </span><span class="s2"><sup>b/a </XXX></span><span class="s1">) </span><span XXXXX="XX"><sup>-X</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <ol> <li><span XXXXX="XX">(x+2) </span><span XXXXX="XX"><XXX>X/2</XXX></span></li> </ol> <p><span XXXXX="s1"></span> </p> <p><span class="XX">b. (x-5) </span><span XXXXX="XX"><XXX>X/X </XXX></span><span XXXXX="s1">+X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <ol> <li><span class="s1">9 </span><span XXXXX="s2"><sup>1/X </sup></span><span class="s1">= 3 </span><span class="s2"><XXX>2(1/X) </sup></span><span class="XX">= X<span XXXXX="XXXXX-converted-XXXXX"></span></span></li> <li><span class="s1">XX </span><span class="XX"><sup>X/2 </XXX></span><span class="s1">= X </span><span class="s2"><sup>2(X/2) </sup></span><span XXXXX="XX">= 4</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span class="s3">c. X </span><span XXXXX="XX"><sup>1/3 </XXX></span><span class="XX">= 2 </span><span XXXXX="s1"><sup>(X(1/3)) </sup></span><span class="s3">= 2</span></p> <p><span class="XX">d. 8 </span><span class="XX"><XXX>2/3 </sup></span><span XXXXX="s1">= 2 </span><span XXXXX="s2"><XXX>(X(2/X)) </sup></span><span XXXXX="s1">= 2</span><span class="s2"><XXX>2 </XXX></span><span XXXXX="s1">= X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">e. XXX </span><span class="s2"><sup>2/X </XXX></span><span XXXXX="XX">= 5 </span><span XXXXX="s2"><XXX>X(2/3) </XXX></span><span XXXXX="s1">= 5</span><span XXXXX="XX"><sup>X </XXX></span><span XXXXX="s1">= XX</span></p> <p><span class="XX"></span> </p> <p><span class="s1">f. XX </span><span XXXXX="s2"><XXX>X/4 </XXX></span><span XXXXX="XX">= 2 </span><span XXXXX="XX"><XXX>XX/4 </sup></span><span XXXXX="s1">= 2 </span><span XXXXX="s2"><XXX>3</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">Try it!</span></p> <p><span class="s1">3a. √y = y</span><span class="s2"><XXX>X/X</XXX></span></p> <p><span class="s1"></span> </p> <p><span class="XX">XX. 5√y + X = (y+X)</span><span XXXXX="XX"><sup>1/X</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XX. 49</span><span XXXXX="XX"><sup>X/X </sup></span><span XXXXX="XX">= 7</span><span XXXXX="XX"><XXX>2/X</XXX></span><span class="XX"> = 7</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">4b. XX</span><span class="XX"><XXX>1/X<span XXXXX="Apple-converted-XXXXX"></span></sup></span><span class="s1"> = X </span><span XXXXX="XX"><sup>3/X<span XXXXX="Apple-converted-XXXXX"></span></XXX></span><span class="XX"> = X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">4c. 216 </span><span class="s2"><sup>2/3</XXX></span><span class="XX"> = X </span><span XXXXX="XX"><XXX>X/X<span XXXXX="Apple-converted-XXXXX"></span></sup></span><span class="s1"> = X </span><span XXXXX="XX"><XXX>2</sup></span></p> <p><span class="s1"></span> </p> <p><span class="XX"><span class="XXXXX-converted-space"></span>Beat the test!</span></p> <p><span class="s1">XXXXX XXX pairs.</span></p> <ol> <li><span class="s1">XX</span></li> <li><span class="XX">XXX<span XXXXX="Apple-converted-space"></span></span></li> <li><span XXXXX="s1">V</span></li> <li><span XXXXX="s1">I</span></li> <li><span XXXXX="s1">IV</span></li> <li><span XXXXX="XX">II</span></li> </ol> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXXX 1 Topic 6</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">√5 + √2 = X.65</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"><span class="Apple-converted-XXXXX"> </span>X</span></p> <p><span class="s1">X<span class="Apple-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X<span XXXXX="Apple-converted-space"> </span>4 <span class="Apple-converted-space"> </span>X<span class="Apple-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">|XX|__|__|__|__|</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">5</span><span XXXXX="XX"><XXX>X/2</XXX></span><span XXXXX="s1"> + 2</span><span XXXXX="s2"><XXX>1/X </sup></span><span XXXXX="XX">= X.XX</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-converted-space"> </span>X</span></p> <p><span XXXXX="XX">X<span XXXXX="Apple-converted-XXXXX"> </span>2<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X<span XXXXX="XXXXX-converted-XXXXX"> </span>4 <span class="XXXXX-XXXXXXXXX-space"> </span>X<span XXXXX="Apple-XXXXXXXXX-space"> </span>6<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">|XX|XX|XX|__|__|</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">√X + √5 = X.XX</span></p> <p><span class="XX"><span class="Apple-converted-space"> </span>X</span></p> <p><span class="XX">X<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>3<span XXXXX="Apple-converted-space"> </span>4 <span class="Apple-XXXXXXXXX-XXXXX"> </span>5<span XXXXX="XXXXX-converted-XXXXX"> </span>6<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">|__|XX|__|__|__|</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">X</span><span class="XX"><XXX>1/X</XXX></span><span XXXXX="XX"> + X</span><span XXXXX="s2"><sup>X/2 </sup></span><span XXXXX="s1">= 4.XX</span></p> <p><span class="XX"></span> </p> <p><span class="XX"><span class="Apple-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span class="XX">X<span class="Apple-XXXXXXXXX-XXXXX"> </span>X<span class="XXXXX-XXXXXXXXX-space"> </span>3<span XXXXX="XXXXX-converted-XXXXX"> </span>4 <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>5<span XXXXX="Apple-converted-space"> </span>6<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">|XX|XX|XX|__|XX|</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">2 √3 - X √3 = -XX.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"><span class="Apple-converted-space"> </span>X</span></p> <p><span class="XX">-13 -XX<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-XX<span XXXXX="XXXXX-converted-space"> </span>-10<span class="Apple-converted-XXXXX"> </span>-9<span class="Apple-converted-space"> </span>-8<span XXXXX="Apple-converted-space"></span></span></p> <p><span class="XX">|XXXX|____|___|___|___|</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">X . 3</span><span class="XX"><XXX>1/X</sup></span><span class="XX"> - X . 3</span><span XXXXX="XX"><sup>1/X </sup></span><span XXXXX="s1">= -10.39</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"><span XXXXX="Apple-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="s1">-XX -12<span XXXXX="XXXXX-converted-space"> </span>-XX<span XXXXX="Apple-converted-XXXXX"> </span>-10<span XXXXX="XXXXX-converted-space"> </span>-X<span XXXXX="Apple-XXXXXXXXX-space"> </span>-8<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX">|____|____|XXX|XXX|___|</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXX’s practice</span></p> <p><span class="s1"></span> </p> <p><span class="XX">1.a.</span></p> <p><span XXXXX="s1">√XX + √3 = 2√X+ √X = X √3 = XX</span><span class="s2"><sup>X/2</sup></span><span class="XX"> + X</span><span class="XX"><XXX>1/X</sup></span><span XXXXX="s1"> = X.196</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">b.</span></p> <p><span class="s1">XX</span><span XXXXX="s2"><XXX>X/X</sup></span><span XXXXX="XX"> + 3</span><span class="s2"><XXX>X/2</sup></span><span XXXXX="s1"> = √12 + √3 = X √X=<span class="Apple-XXXXXXXXX-space"> </span>X.XXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">c.<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="XX">√72 + √XX + √XX = 72</span><span class="s2"><XXX>1/2</sup></span><span class="s1"> +XX</span><span XXXXX="s2"><XXX>X/2</XXX></span><span XXXXX="s1"> + XX</span><span XXXXX="XX"><sup>X/2</XXX></span><span XXXXX="s1"> = X√X + √XX + √XX = =<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>XX.6</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">d.<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1">XX</span><span class="s2"><sup>X/X</XXX></span><span XXXXX="s1"> +XX</span><span XXXXX="s2"><sup>X/2</XXX></span><span class="XX"> + 18</span><span XXXXX="XX"><XXX>1/X</XXX></span><span XXXXX="XX"> = √72 + √15 + √18 = 275.XX</span><span class="XX"><XXX>1/X</sup></span><span XXXXX="XX"> = 16.6</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">e.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span class="XX">√XX + </span><span class="XX"><sup>3</sup></span><span class="XX"> √XX = XX</span><span XXXXX="XX"><sup>1/X</XXX></span><span class="s1"> +16</span><span class="XX"><XXX>X/X </sup></span><span class="XX">= 8.176</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">f.</span></p> <p><span XXXXX="XX">XX</span><span class="XX"><sup>1/X</sup></span><span class="XX"> +XX</span><span XXXXX="s2"><XXX>1/3</XXX></span></p> <p><span XXXXX="XX">= √32 + </span><span XXXXX="s2"><XXX>X</XXX></span><span XXXXX="s1"> √XX<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">= √ 2</span><span class="s2"><sup>X</XXX></span><span class="s1"> +√ 2</span><span XXXXX="XX"><sup>5</XXX></span><span XXXXX="s1"></span></p> <p><span XXXXX="XX">= 3 √ X</span><span XXXXX="s2"><sup>X</XXX></span></p> <p><span class="s1">= 8.176</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Try it!</span></p> <p><span XXXXX="s1">2.a.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">= X √X = 9.79</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">X.b.</span></p> <p><span class="s1">= 4 √6 = X.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X.c.</span></p> <p><span XXXXX="XX">= √50 + √XX+ √XX</span></p> <p><span XXXXX="XX">= 5 √X + 3 √ X + √XX</span></p> <p><span XXXXX="XX">= X √ X + √ XX</span></p> <p><span class="XX">= XX.XXX</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2.d.</span></p> <p><span XXXXX="s1">= √50 + √XX+ √10</span></p> <p><span XXXXX="s1">= 14.XXX</span></p> <p><span class="s1"></span> </p> <p><span class="XX">2.e.</span></p> <p><span XXXXX="XX">= 2</span><span XXXXX="XX"><sup>X/3 </XXX></span><span class="XX">+ 8</span><span class="s1"><sup>1/3 </XXX></span><span XXXXX="XX">+ XX</span><span XXXXX="XX"><sup>X/X<span class="Apple-converted-XXXXX"></span></sup></span></p> <p><span class="XX">= 2</span><span class="XX"><sup>1/X </XXX></span><span class="s1">+ X + X </span><span XXXXX="s2"><XXX>4/3</XXX></span></p> <p><span class="s1">= 5.XX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">2.f.</span></p> <p><span XXXXX="XX">= X</span><span class="s1"><sup>1/X </XXX></span><span class="XX">+ 8</span><span XXXXX="XX"><XXX>1/3 </sup></span><span class="XX">+ 16</span><span XXXXX="XX"><XXX>1/3<span class="Apple-converted-XXXXX"></span></sup></span></p> <p><span class="XX">= 2</span><span XXXXX="s2"><sup>X/X </XXX></span><span class="s1">+ 2 + 2 </span><span class="XX"><sup>X/3</XXX></span></p> <p><span class="s1">= 5.80</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Beat XXX XXXX!</span></p> <p><span class="s1">X. Which of XXX XXXXXXXXX XXXXXXXXXXX are equivalent?</span></p> <p><span XXXXX="XX">[]</span></p> <p><span class="XX">[]</span></p> <p><span class="XX">[X]</span></p> <p><span XXXXX="s1">[X]</span></p> <p><span XXXXX="XX">[]</span></p> <p><span XXXXX="XX">[]</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">2. B.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXXX B:</span></p> <p><span XXXXX="s1">XXXXX XXX place the expression on the number line XXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">4 . 3 </span><span class="s2"><sup>X/2</XXX></span></p> <p><span class="s1"><sup>2</XXX></span></p> <p><span XXXXX="XX">2 </span><span class="XX"><sup>X </sup></span><span XXXXX="XX">+ X </span><span class="XX"><XXX>1/2<span class="XXXXX-converted-space"></span></XXX></span></p> <p><span class="s1">XX </span><span class="s2"><sup>1/2</sup></span><span XXXXX="XX">+ 3 </span><span XXXXX="s2"><XXX>1/X<span class="Apple-converted-XXXXX"></span></XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">= 5.XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"><span class="XXXXX-converted-space"> </span>X</span></p> <p><span class="s1">X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>4<span class="Apple-converted-XXXXX"> </span>X <span class="Apple-converted-space"> </span>X <span class="Apple-XXXXXXXXX-XXXXX"> </span>1</span></p> <p><span XXXXX="s1">|__|XX|XX|XX|XX|</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">Section 1 - XXXXX 7</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">√ XX </span><span class="s2"><sup>.</sup></span><span XXXXX="s1"> √ X</span></p> <p><span class="s1">= √ 2 </span><span class="s2"><XXX>.</XXX></span><span XXXXX="XX"> X </span><span class="XX"><XXX>.</sup></span><span XXXXX="s1"> √ 2</span></p> <p><span XXXXX="XX">= √ 2 </span><span class="s2"><XXX>.</XXX></span><span XXXXX="XX"> √ 5 </span><span XXXXX="s2"><XXX>.</sup></span><span class="XX"> √ 2</span></p> <p><span class="s1">= X √X<span XXXXX="Apple-converted-XXXXX"> </span></span><span XXXXX="XX"><XXX>.</sup></span><span class="s1"> √ 5</span></p> <p><span class="XX">=X.57</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s3">XX </span><span XXXXX="XX"><XXX>X/X . </XXX></span><span XXXXX="XX">2 </span><span XXXXX="XX"><XXX>X/X</XXX></span></p> <p><span class="XX">=<span XXXXX="Apple-converted-XXXXX"> </span>2 </span><span class="XX"><XXX>1/X.</XXX></span><span class="XX"> 5 </span><span XXXXX="XX"><sup>.</sup></span><span class="s1"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>2 </span><span XXXXX="XX"><sup>X/2</XXX></span></p> <p><span XXXXX="XX">=<span class="Apple-converted-XXXXX"> </span>2 </span><span XXXXX="XX"><sup>X/2</sup></span><span XXXXX="XX"> </span><span class="XX"><XXX>.</sup></span><span class="XX"><span XXXXX="Apple-XXXXXXXXX-space"> </span>5 </span><span XXXXX="s2"><XXX>1/X</XXX></span><span XXXXX="XX"> </span><span XXXXX="XX"><XXX>.</sup></span><span XXXXX="XX"><span class="XXXXX-converted-XXXXX"> </span>2 </span><span XXXXX="XX"><sup>1/2</sup></span></p> <p><span class="s1">=<span XXXXX="Apple-converted-space"> </span>2 </span><span XXXXX="s2"><sup>X/X</XXX></span><span class="s1"> </span><span XXXXX="s2"><XXX>.</XXX></span><span XXXXX="s1"><span class="XXXXX-XXXXXXXXX-space"> </span>5 </span><span class="XX"><sup>X/2</XXX></span></p> <p><span class="XX">= X.57</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"><span XXXXX="XXXXX-XXXXXXXXX-space"></span>√2<span XXXXX="XXXXX-converted-space"> </span></span><span class="s2"><XXX>.</sup></span><span XXXXX="XX"> </span><span class="XX"><sup>3</XXX></span><span class="s1">√ X</span></p> <p><span XXXXX="XX">=<span XXXXX="XXXXX-converted-XXXXX"> </span>√7</span></p> <p><span XXXXX="XX">= X.XX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">X </span><span class="XX"><sup>X/X</XXX></span><span XXXXX="XX"> </span><span class="XX"><XXX>.</XXX></span><span class="XX"><span XXXXX="XXXXX-converted-space"> </span>X </span><span class="s2"><XXX>1/3</sup></span></p> <p><span class="s1">=<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>√7</span></p> <p><span XXXXX="XX">= X.XX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">√ XX / √ 2</span></p> <p><span XXXXX="s1">= (√ X </span><span XXXXX="XX"><XXX>.</sup></span><span XXXXX="s1"> √ 5 )<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>/ √ X</span></p> <p><span class="XX">= √ X</span></p> <p><span class="XX">= X.XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s3">10 </span><span class="XX"><XXX>X/2 </XXX></span><span XXXXX="XX">/2 </span><span XXXXX="XX"><sup>1/X</sup></span></p> <p><span class="XX">= (√ 2 </span><span class="s2"><sup>.</XXX></span><span class="XX"> √ 5 )<span XXXXX="XXXXX-converted-XXXXX"> </span>/ √ X</span></p> <p><span XXXXX="XX">= √ 5</span></p> <p><span XXXXX="s1">= X.23</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s3">(x</span><span XXXXX="s1"><XXX>1/3 </XXX></span><span class="s3">)</span><span class="XX"><sup>1/X</XXX></span></p> <p><span class="s3">=x</span><span class="s1"><sup>1/6</sup></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(√X)</span><span XXXXX="XX"><XXX>X</XXX></span></p> <p><span XXXXX="s1">= (7</span><span XXXXX="XX"><XXX>X/X</XXX></span><span XXXXX="s1">)</span><span class="s2"><sup>3</XXX></span></p> <p><span class="XX">= (X</span><span XXXXX="s2"><sup>3/2</XXX></span><span class="XX">)</span></p> <p><span class="XX">= XX.X</span></p> <p><span class="s1"></span> </p> <p><span class="s3"><span class="Apple-converted-space"></span>a</span><span XXXXX="XX"><sup>X/X</sup></span><span XXXXX="XX"> b</span><span XXXXX="XX"><XXX>X/X</XXX></span><span class="XX"> a </span><span XXXXX="s1"><XXX>X/X</XXX></span><span class="s3"> b </span><span XXXXX="XX"><XXX>1/2</sup></span></p> <p><span XXXXX="XX">= a </span><span XXXXX="XX"><XXX>1/X</sup></span><span class="s3"> b</span><span XXXXX="s1"><XXX>X/XX</XXX></span></p> <p><span XXXXX="s1">= a </span><span XXXXX="XX"><XXX>X/X</sup></span><span class="XX"> b</span><span XXXXX="XX"><XXX>1/X</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s2"><XXX>X</sup></span><span XXXXX="s1"> √8 / √8</span></p> <p><span class="XX">=<span XXXXX="Apple-converted-XXXXX"> </span>2 </span><span XXXXX="s1"><sup>3(1/4)<span class="Apple-XXXXXXXXX-space"></span></sup></span><span class="XX"> / X</span><span class="XX"><sup>X(1/X)</sup></span></p> <p><span XXXXX="s1">=<span class="Apple-XXXXXXXXX-space"> </span>2 </span><span XXXXX="XX"><XXX>3/4 </XXX></span><span XXXXX="XX">/ X</span><span class="XX"><sup>3/2</sup></span></p> <p><span XXXXX="s1">= X </span><span class="XX"><sup>-X/4</sup></span></p> <p><span class="XX">= 0.XX</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Try it!</span></p> <p><span class="s1">a</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">= (m</span><span XXXXX="s2"><XXX>X</XXX></span><span XXXXX="s1">n</span><span class="s2"><XXX>X</XXX></span><span class="XX"> )</span><span class="s2"><sup>X/5</XXX></span></p> <p><span XXXXX="s1">= n</span><span class="XX"><XXX>X/5</sup></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">b.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s3">= (X </span><span class="s1"><XXX>X/2 . </XXX></span><span XXXXX="XX">X </span><span XXXXX="s1"><XXX>X/3</sup></span><span XXXXX="XX">)</span><span XXXXX="s1"><sup>X/X</sup></span></p> <p><span class="s1">= (2 </span><span class="s2"><XXX>. </XXX></span><span XXXXX="s1">X </span><span class="XX"><XXX>X/X</sup></span><span class="XX">)</span></p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">c.</span></p> <p><span class="s3">= X </span><span class="s1"><XXX>X/X . </sup></span><span XXXXX="XX">X </span><span class="XX"><sup>2/3</XXX></span></p> <p><span class="XX"></span> </p> <p><span class="XX">d.</span></p> <p><span XXXXX="XX">= (X </span><span XXXXX="s1"><sup>.<span XXXXX="Apple-XXXXXXXXX-space"> </span></XXX></span><span class="XX">3</span><span class="XX"><sup>X/6</sup></span><span XXXXX="s3">) </span><span XXXXX="XX"><sup>X/2</sup></span></p> <p><span XXXXX="XX">= (X</span><span class="XX"><sup>X/2</sup></span><span XXXXX="XX">) </span><span XXXXX="s2"><sup>X/X</XXX></span></p> <p><span XXXXX="XX">= X </span><span class="s2"><XXX>X/4</XXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXXX XXX XXXX!</span></p> <p><span class="s1">[]</span></p> <p><span class="XX">[]</span></p> <p><span XXXXX="XX">[X]</span></p> <p><span class="s1">[X]</span></p> <p><span class="s1">[]</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Section X XXXXX 8</span></p> <p><span XXXXX="XX">XXXXXXX that XXX XX XXXXXXXXXXX XX &XXXXXX; are called XXXXXXXX XXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Numbers XXXX XXXXXX be XXXXXXXXXXX&XXXXXX; are XXXXXX irrational numbers.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">√X rational</span></p> <p><span class="XX">√X irrational</span></p> <p><span class="XX">X = rational</span></p> <p><span XXXXX="s1">22/7 = XXXXXXXX</span></p> <p><span class="XX">9.488888…. = irrational</span></p> <p><span class="s1">XX/2 = rational</span></p> <p><span class="XX">2.XXXXX… = irrational</span></p> <p><span class="XX">-XX = rational</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXX XXX XXXXXXXX XXXXXXX a and b prove XXXX XXX sum is rational:</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">The XXX of XXX XXX XXXXXXXX XXXXXXX is XXXXXXXX.</span></p> <p><span class="XX">XXXXX.</span></p> <p><span class="s1">Suppose r and s are rational XXXXXXX. [XX must show XXXX r + s is rational.] XXXX, XX the definition XX rational XXXXXXX, XX have</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-converted-space"></span>r = a/b<span class="Apple-converted-XXXXX"> </span>XXX some XXXXXXXX a XXX b with b ≠ 0.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"><span class="XXXXX-converted-space"> </span>s = c/d <span XXXXX="XXXXX-converted-XXXXX"> </span>for some integers c and d XXXX d ≠ 0.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">So, by substitution, we XXXX</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>r + s = a/b + c/d</span></p> <p><span class="XX"></span> </p> <p><span class="s1"><span class="XXXXX-converted-XXXXX"></span>= (ad + bc)/XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">Now, XXX p = ad + bc and X = XX. Then, p and q are XXXXXXXX [because products XXX XXXX XX integers are integers and XXXXXXX a, b, c XXX d are XXX XXXXXXXX. Also, X ≠ 0 by zero product property.] Hence,</span></p> <p><span class="s1">r + s = p/X , XXXXX p and X XXX integers and q ≠ X.</span></p> <p><span XXXXX="s1">XXXXXXXXX, XX XXXXXXXXXX XX a rational XXXXXX, (r + s) is rational. This XX XXXX XXX XX be XXXXX.</span></p> <p><span XXXXX="s1">XXX this XXXXXXXXX XXX XXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXX from: <a XXXX="https://XXXX.stackexchange.com/XXXXXXXXX/XXXXXXX/XXX-doesnt-XXXXX-of-XXX-of-XXX-rational-number-is-XXXXXXXX-XXX-XXXXXXX-XXX-XXXX">XXXXX://math.XXXXXXXXXXXXX.XXX/XXXXXXXXX/1320459/why-XXXXXX-proof-XX-sum-XX-two-XXXXXXXX-XXXXXX-is-XXXXXXXX-no...</a></span></p> <p><span class="XX"></span> </p> <p><span class="XX">Sum of two XXXXXXX:</span></p> <p><span class="s1"></span> </p> <p><span class="s1">If XXX numbers are XXXXXXXX XX XXX XXXXXXX XXXXX sum XX<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX">a/b+ c/d</span></p> <p><span XXXXX="XX">XXXXX XX equal to</span></p> <p><span XXXXX="XX">(ad + bc) / bd</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Hence, XXXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXX b:</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXX XXXXXXX of a and b will also be rational.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Part c:</span></p> <p><span class="XX">XXXXX a rational XXXXXX a XXX an irrational number b, XXXXX XXXX the XXX XX a and b XX XXXXXXXXXX</span></p> <p><span XXXXX="s1"></span></p> <p><span class="s1">1/X + X.XXXXXXXX = 14.XXXXXXX….</span></p> <p><span XXXXX="s1">XXXXX, the XXX of a XXX b is XXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Given a non-zero XXXXXXXX XXXXXX a, and an XXXXXXXXXX number b, what can XX XXXX about XXX product of a XXX b?</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXX product of a and b XXXX XX XXXXXXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXX’s XXXXXXXX!</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Consider the following expression</span></p> <p><span class="s1">The above XXXXXXXXXX represents XXX <XXXXXX>XXX </XXXXXX>XX a <strong>XXXXXXXX number </strong>XXX an <strong>XXXXXXXXXX number</XXXXXX> XXX XX equivalent XX an <strong>irrational XXXXXX</XXXXXX></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Try it!</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXX XXXXX XXXXXXXXXX XXXXXXXXXX the <strong>product </XXXXXX>of a <XXXXXX>XXXXXXXX number </XXXXXX>XXX a <strong>XXXXXXXX XXXXXX </XXXXXX>XXX is XXXXXXXXXX to a <XXXXXX>XXXXXXXX XXXXXX.</strong></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"><strong>Beat the XXXX!</strong></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"><strong>a+ b<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>= XXXXXXXX</strong></span></p> <p><span XXXXX="s1"><XXXXXX>a - c = XXXXXXXXXX</strong></span></p> <p><span XXXXX="XX"><XXXXXX>a . b = XXXXXXXX</strong></span></p> <p><span class="s1"><strong>a/b = XXXXXXXX</XXXXXX></span></p> <p><span class="XX"><XXXXXX>a . b. c = XXXXXXXXXX</XXXXXX></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"><XXXXXX>x . y = X</strong></span></p> <p><span class="XX"><strong>XX z is an irrational number, then XXXXXX x or y XX XXXXXXXXXX.<span class="Apple-converted-space"> </span></strong></span></p> <p><br></p><p><XX></p><p><span class="XX">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXX Core XXXXXXX 1</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(a)<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX">f(-X) = -1</span></p> <p><span XXXXX="s1">f(X) = X</span></p> <p><span XXXXX="s1">f(X) = X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b)</span></p> <p><span class="XX">f(x) = 11</span></p> <p><span class="XX">x = 18</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(c)</span></p> <p><span class="XX">x = -X, y = -1</span></p> <p><span class="s1">x = -4, y = 0</span></p> <p><span class="XX">x = -X, y = 1</span></p> <p><span class="s1">x = X, y = 2</span></p> <p><span class="s1">x = 2, y = 3</span></p> <p><span XXXXX="XX">x = 4, y = 4</span></p> <p><span class="XX">x = 6, y = X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(d) They XXXXXXXXX at x = 2, y = X<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(e) x = X, y = 3</span></p> <p><span class="s1">X = X.X (X) + 2 = X</span></p> <p><span XXXXX="XX">X = X - x = X - 2 = 3</span></p> <p><span class="XX">XXX XXXXX in (d) is a solution XX XXXX equations.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX #2</span></p> <p><span XXXXX="XX">(a)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(b)<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1">(c) XXXXXXX XXXXX : x = 1, y = -4</span></p> <p><span class="XX">XXXXXXX XXXXX = undefined.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(d)</span></p> <p><span class="s1">The XXXXXXXX XX negative XXXXXXX x = -X XXX x = 3</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(e) The XXXXXXXX is XXXXXXXXXX in XXXXXXXXX x &XX; X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(f) XX y = -X, x = X. This XXX be XXXX from XXX XXXXX and table.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">Exercise #X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX" <XXX="" XXX="" XXXXXX="" intersect="" at="" (-X,4).="" XXXXX="" option="" (3)="" is="" the="" answer.="">span class="Apple-converted-space"&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <ol> <li><span XXXXX="XX">(a) g(-2) = X</span></li> </ol> <p><span class="XX"></span> </p> <p><span class="s1">(b) g(0) = -4</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(c) g(4) = 52</span></p> <p><span XXXXX="XX"></span></p> <p><span XXXXX="XX">(d) g(15) = 701</span></p> <p><span class="XX"></span> </p> <p><span class="XX">X.<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">x = -2, y = X</span></p> <p><span XXXXX="s1">x = -1, y = 4</span></p> <p><span class="XX">x = 0, y = 1</span></p> <p><span XXXXX="XX">x = 1, y = X</span></p> <p><span XXXXX="XX">x = 2, y = X</span></p> <p><span class="s1">x = 3, y = 4</span></p> <p><span XXXXX="XX">x = 4, y = X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX">X.<span class="XXXXX-converted-space"></span></span></p> <p><span class="XX">XXXX x = -X, y = XX. The XXXXXX XX not listed there (closest answer is x=1)<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Applications</span></p> <p><span XXXXX="XX">X. (a)<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="s1"></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(b) For interval -2 < x &XX; 6, X(x) &XX; X. XXXX represents XXXXXXXX XXXXXX interval.<span XXXXX="Apple-converted-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">(c) P(X) = -X or X. XXXX represents XXX break even point (XXXX profit).</span></p> <p><span XXXXX="s1">(d) x = -X or x = 6. This XXXXXXXXXX XXX number of packages XX obtain XXXXX even profit.<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">X. No, Rob XX XXXXXXXXX. XXXX x = -4, f(x) = X.<span XXXXX="XXXXX-converted-space"></span></span></p><p><XX></p> <p><br></p> <p><span class="s1">364CCAlg1U3L1IntroductiontoFunctions<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXXXXX #1<span class="XXXXX-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(a)<span class="Apple-converted-space"></span></span></p> <p><span class="XX">y = 2x - X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">x = 0, y = -1</span></p> <p><span XXXXX="s1">x = 1, y = 2 - X = 1</span></p> <p><span class="s1">x = X, y= 4 - X = X</span></p> <p><span class="XX">x = X, y = 6 - 1 = 5</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(b) Equation is y = 2x - 1</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXXXXXX #X<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX">The input XXXXXX is x = 8 (y = 2(8) + X = 17)</span></p> <p><span class="XX">XX is XXXXXX because you XXXX to XXXX the outputs one by XXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXXXXX #3</span></p> <p><span XXXXX="s1">X = 0.5n + (X.5n + 10)</span></p> <p><span XXXXX="s1">n = XX</span></p> <p><span XXXXX="XX">X = XX + XX + 10 = XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Exercise #4</span></p> <p><span XXXXX="s1">(a) XXXX rule XX a XXXXXXXX as XXXX XXXXX name XXXXX XXX a specific XXXXXX XXXXX XXXXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>(b) Output is XXXXXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(c) XXXX and Niko both give an output XX May. XXXX XX because XXXX XXXXXX XXXXX XXXX to an XXXXX. One XXXXX XXXXX one output.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">Exercise #X</span></p> <ol> <li><span XXXXX="s1">Charlene XXXXXX XXX XX XX blocks XXXX XXXXXX (XX x = 0)</span></li> <li><span class="XX">XXXXX 4 minutes, she is XX XXXXXX from school</span></li> <li><span class="XX">At 6 XXXXXXX, XXXXXXXX stops XXX 3 XXXXXXX.</span></li> </ol> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(d) XXXXXXXX XXXXXX 1 block XX XXX XXXXXX.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(e) XXXX she XXX on the XXXXX, it XXXX her 4 minutes</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXXXXX</span></p> <p><span XXXXX="XX">1.</span></p> <ol> <li><span class="s1">XXXXXX/XXXXXXXX XX a XXXXXXXX. XXX XXXXX XXXXX one output.</span></li> <li><span XXXXX="XX">XXXXXX/Cities XX XXX a function. One XXXXX XXXXX many XXXXXXX.</span></li> <li><span class="XX">Families/Pets XX XXX a function One input XXXXX XXXX XXXXXXX.</span></li> <li><span XXXXX="XX">XXXXXXXX/Last XXXXX is a XXXXXXXX. XXX XXXXX gives one XXXXXX.</span></li> </ol> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">X. (a)</span></p> <p><span class="s1">x = -3, y = X(-3) - X = -22</span></p> <p><span XXXXX="XX">x = 0, y = 5(0) - 7 = -X</span></p> <p><span class="s1">x = X, y = 5(X) - 7 = 23</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">This XX a function (one XXXXX XXXXX XXX output)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(b)</span></p> <p><span XXXXX="s1">XXXX XX XXX a function. One input gives many XXXXXXX (x=X)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(c) XXXX is a function. XXX input XXXXX XXX output.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(d) XXXX is XXX a XXXXXXXX. One input x=X XXXXX XXXX outputs.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Applications</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">3. XXXXXX</span></p> <ol> <li><span class="XX">XXX entire trip was XX minutes long</span></li> <li><span class="XX">If he XXXXXXX after X minutes, XXX distance XXX 9 blocks</span></li> <li><span class="XX">Andrew XXXXXXX X times for 1 XXXXXX because XX traffic light stops</span></li> <li><span XXXXX="s1">Andrew’s XXXX XXX XXXXXX XXXXXX XXXX.</span></li> </ol> <p><span class="s1"></span> </p> <p><span XXXXX="XX">4. <span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p><p><XX></p><p><span class="XX"></span> </p> <p><span class="s1">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX<span class="XXXXX-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="XX">Answers: [-3, X]</span></p> <p><span XXXXX="s1">(-6, 4)</span></p> <p><span class="s1">(-4, X]</span></p> <p><span XXXXX="s1">[-4, infinity)</span></p> <p><span XXXXX="XX">(XXXXXXXX, X)</span></p> <p><span class="XX">(XXXXXXXX, -X)</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1">Exercise 2</span></p> <p><span XXXXX="s1">(3) [-XX, 4) <span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX #X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">12- 4x > X</span></p> <p><span class="s1">XX > 4x</span></p> <p><span class="XX">X &XX; x</span></p> <p><span class="XX"></span> </p> <p><span class="s1">Interval notation (infinity, X)</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX #X</span></p> <p><span XXXXX="s1">The XXXXXXXXX are:</span></p> <p><span XXXXX="XX">(a) [-3, X)</span></p> <p><span XXXXX="XX">(b) [-3, X] or (-3, X)</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Exercise #5. The answer is (X)</span></p> <p><span class="XX"></span> </p> <p><span class="XX">XXXXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXXXXXXXXX XXXXXXXX notation:<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">X(a) -X &XX; x ≤ X</span></p> <p><span class="XX"></span> </p> <p><span class="s1">1(b) x ≤ -X and x &XX; -X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">2.</span></p> <p><span class="s1"></span> </p> <p><span class="XX">(a) x > 4</span></p> <p><span class="s1"></span></p> <p><span XXXXX="XX">X (1) X &XX; t &XX; 12</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">4.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">(a)<span class="Apple-converted-space"></span></span></p> <p><span XXXXX="s1">XXXX use during X-9AM and X-7PM. XXXXXXXX XX 7 &XX; x &XX; X and XX < x < XX<span class="Apple-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">(b) No, XXXXX XXXX XXX be XXXX a time as the maximum XXXXXX of overlapping XXX XX four XXXXX.<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">5. XXXXX should XXXX XXXXXX the XXXXXXXXX XXXXXX XXX XXXX XXX leftmost XXXXXX hollow.</span></p><p><br></p> <p><br></p> <p><br></p> <p><br></p> <p><XX></p> <p><XX></p> <p><br></p> <p><XX></p> <p><br></p> <p><XX></p> <p><br></p> <p><XX></p> <p><br></p> <p><XX></p> <p><XX></p>">
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