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# quiz7solutions - MAC1147 Quiz#7 In the top-right corner of...

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Unformatted text preview: MAC1147: Quiz #7 10/20/2009 In the top-right corner of a clean sheet of paper, write your name, UFID, and section number. Please use a pen with blue or black ink. When you are nished, FOLD your paper in half lengthwise and write your name on the back. 1. Solve the following two systems of equations; use elimination on one and substitution on the other. You can choose which system gets which method, but if only use one method on both systems, then I will grade the one you do the worst on. (a) y − 3x = 4 3y − 2x = 12 Substitution: y = 4 + 3x ⇒ 3(4 + 3x) − 2x = 12 ⇒ x = 0 ⇒ y = 4 3y − 2x = 12 Elimination: y − 3x = 4 ⇒ 3y − 2x = 12 −3y + 9x = −12 ⇒ 7x = 0 ⇒ x = 0 ⇒ 3y − 2x = 12 y=4 (b) 3 x 2 1 x 4 + 4y − 2y = 10 = −3 Substitution: Elimination: 3 x 2 + 4y = 10 ⇒ 3 (8y − 12) + 4y = 10 ⇒ y = 2 = −12 + 8y + 4y − 4y = 10 3 ⇒ 2x = 4 ⇒ x = 2 ⇒ 2 (2) + 4y = 10 ⇒ y = = −6 x 3 x 2 1 x 2 7 4 ⇒x=2 2. Sketch a graph of f (x) = 3x−2 − 1. Label or list any intercepts and asymptotes. 1 7 4 The horizontal asymptote is y = −1, which comes directly from the vertical shift. 1 The y -intercept is found by setting x = 0: y = 3(0−2) − 1 = 9 − 1 = − 8 9 2 ...
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quiz7solutions - MAC1147 Quiz#7 In the top-right corner of...

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