{"id":1655,"date":"2019-07-31T13:58:44","date_gmt":"2019-07-31T17:58:44","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1655"},"modified":"2019-07-31T14:43:19","modified_gmt":"2019-07-31T18:43:19","slug":"answer-key-8-6","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-8-6\/","title":{"raw":"Answer Key 8.6","rendered":"Answer Key 8.6"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(\\begin{array}{rrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&5(2)&& \\\\ \\\\\r\n2(m&-&1)&=&5(8) \\\\\r\n2m&-&2&=&40 \\\\\r\n&+&2&&+2 \\\\\r\n\\midrule\r\n&&\\dfrac{2m}{2}&=&\\dfrac{42}{2} \\\\ \\\\\r\n&&m&=&21\r\n\\end{array}\\)<\/li>\r\n \t
  2. \\(\\begin{array}{rrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&2(x&-&8) \\\\ \\\\\r\n8(x&-&8)&=&\\phantom{+}2(8) \\\\\r\n8x&-&64&=&\\phantom{+}16 \\\\\r\n&+&64&&+64 \\\\\r\n\\midrule\r\n&&\\dfrac{8x}{8}&=&\\phantom{+}\\dfrac{80}{8} \\\\ \\\\\r\n&&x&=&\\phantom{+}10\r\n\\end{array}\\)<\/li>\r\n \t
  3. \\(\\begin{array}{rrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&9(p&-&4) \\\\ \\\\\r\n2(p&-&4)&=&9(10) \\\\\r\n2p&-&8&=&90 \\\\\r\n&+&8&&+8 \\\\\r\n\\midrule\r\n&&\\dfrac{2p}{2}&=&\\dfrac{98}{2} \\\\ \\\\\r\n&&p&=&49\r\n\\end{array}\\)<\/li>\r\n \t
  4. \\(\\begin{array}{rllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&9(n&+&2) \\\\ \\\\\r\n9(9)&=&3(n&+&2) \\\\\r\n81&=&3n&+&6 \\\\\r\n-6&&&-&6 \\\\\r\n\\midrule\r\n\\dfrac{75}{3}&=&\\dfrac{3n}{3}&& \\\\ \\\\\r\nn&=&25&&\r\n\\end{array}\\)<\/li>\r\n \t
  5. \\(\\begin{array}{rrlrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&10(a&+&2) \\\\ \\\\\r\n3(a&+&2)&=&10(a) \\\\\r\n3a&+&6&=&10a \\\\\r\n-3a&&&&-3a \\\\\r\n\\midrule\r\n&&\\dfrac{6}{7}&=&\\dfrac{7a}{7} \\\\ \\\\\r\n&&a&=&\\dfrac{6}{7}\r\n\\end{array}\\)<\/li>\r\n \t
  6. \\(\\begin{array}{rrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&3(4)&&&& \\\\ \\\\\r\n4(x&+&1)&=&3(x&+&3) \\\\\r\n4x&+&4&=&3x&+&9 \\\\\r\n-3x&-&4&&-3x&-&4 \\\\\r\n\\midrule\r\n&&x&=&5&&\r\n\\end{array}\\)<\/li>\r\n \t
  7. \\(\\begin{array}{rrrrcrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&3(p&+&4)&& \\\\ \\\\\r\n2(3)&=&(p&+&4)(p&+&5) \\\\\r\n6&=&p^2&+&9p&+&20 \\\\\r\n-6&&&&&-&6 \\\\\r\n\\midrule\r\n0&=&p^2&+&9p&+&14 \\\\\r\n0&=&(p&+&7)(p&+&2) \\\\ \\\\\r\np&=&-2,&-7&&& \\\\\r\n\\end{array}\\)<\/li>\r\n \t
  8. \\(\\begin{array}{rrrrcrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&10(n&+&1)&& \\\\ \\\\\r\n5(10)&=&(n&-&4)(n&+&1) \\\\\r\n50&=&n^2&-&3n&-&4 \\\\\r\n-50&&&&&-&50 \\\\\r\n\\midrule\r\n0&=&n^2&-&3n&-&54 \\\\\r\n0&=&(n&-&9)(n&+&6) \\\\ \\\\\r\nn&=&9,&-6&&&\r\n\\end{array}\\)<\/li>\r\n \t
  9. \\(\\begin{array}{rrcrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&5(x&-&2)&& \\\\ \\\\\r\n(x&+&5)(x&-&2)&=&5(6) \\\\\r\nx^2&+&3x&-&10&=&\\phantom{-}30 \\\\\r\n&&&-&30&&-30 \\\\\r\n\\midrule\r\nx^2&+&3x&-&40&=&0 \\\\\r\n(x&-&5)(x&+&8)&=&0 \\\\ \\\\\r\n&&&&x&=&5, -7\r\n\\end{array}\\)<\/li>\r\n \t
  10. \\(\\begin{array}{rrrrcrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&5(x&-&3)&& \\\\ \\\\\r\n20&=&(x&-&3)(x&+&5) \\\\\r\n20&=&x^2&+&2x&-&15 \\\\\r\n-20&&&&&-&20 \\\\\r\n\\midrule\r\n0&=&x^2&+&2x&-&35 \\\\\r\n0&=&(x&-&5)(x&+&7) \\\\ \\\\\r\nx&=&5,&-7&&&\r\n\\end{array}\\)<\/li>\r\n \t
  11. \\(\\begin{array}{rrcrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&4(m&-&4)&& \\\\ \\\\\r\n(m&+&3)(m&-&4)&=&4(11) \\\\\r\nm^2&-&m&-&12&=&\\phantom{-}44 \\\\\r\n&&&-&44&&-44 \\\\\r\n\\midrule\r\n(m^2&-&m&-&56)&=&0 \\\\\r\n(m&-&8)(m&+&7)&=&0 \\\\ \\\\\r\n&&&&m&=&8, -7\r\n\\end{array}\\)<\/li>\r\n \t
  12. \\(\\begin{array}{rrcrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n\\text{LCD}&=&8(x&-&1)&& \\\\ \\\\\r\n(x&-&5)(x&-&1)&=&4(8) \\\\\r\nx^2&-&6x&+&5&=&\\phantom{-}32 \\\\\r\n&&&-&32&&-32 \\\\\r\n\\midrule\r\nx^2&-&6x&-&27&=&0 \\\\\r\n(x&-&9)(x&+&3)&=&0 \\\\ \\\\\r\n&&&&x&=&9, -3\r\n\\end{array}\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"\begin{array}{rrrrr}<\/li>\n
    2. \"\begin{array}{rrrrl}<\/li>\n
    3. \"\begin{array}{rrrrl}<\/li>\n
    4. \"\begin{array}{rllll}<\/li>\n
    5. \"\begin{array}{rrlrl}<\/li>\n
    6. \"\begin{array}{rrrrrrr}<\/li>\n
    7. \"\begin{array}{rrrrcrr}<\/li>\n
    8. \"\begin{array}{rrrrcrr}<\/li>\n
    9. \"\begin{array}{rrcrrrl}<\/li>\n
    10. \"\begin{array}{rrrrcrr}<\/li>\n
    11. \"\begin{array}{rrcrrrl}<\/li>\n
    12. \"\begin{array}{rrcrrrl}<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":74,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1655","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1655","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/727"}],"version-history":[{"count":3,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1655\/revisions"}],"predecessor-version":[{"id":1658,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1655\/revisions\/1658"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1655\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1655"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1655"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1655"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}