MATH 106 Final Exam (UMUC)

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MATH 106 Final Exam (UMUC)

 (b) (6,0)

       (c) (0,3) 

        (d) y = -1/2x + 3

14.   (a) 2,4,8,10,14,16

            (b) 6,12

(c) 12

15.   (a) 0.084

            (b) 0.432

(c) 0.221

SHORT ANSWER with Work Shown. Record your answers and work.

Problem Number	Solution
16	Answers: (a) 462 (b) 210 (c) 0.4545 Work for (a), (b), and (c): (11/6) = 11!/(11-6)!6! = 462 (7/4)(4/2) = ((7!)/(3!4!))((4!)/(2!2!)) = 210 ((7!)/(3!4!))((4!)/(2!2!))/(11!/((11-6)!6!) = 0.4545
17	Answer: x = -2, y = 5 Work: 3x+2y=4 3x=4-2y x=4/3-2/3y 4x+3y=7 3y=7-4x y=7/3-4/3x y = 7/3 – 4/3(4/3 – 2/3y) y = 7/3 – 16/9 – 8/9y y = 5/9 + 8/9y 1/9y = 5/9 y = 5

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