Solve the problem.A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott (A), Blake (B), Cleary (C), and Downs (D). If the plurality method if used to determine the winner and Downs drops out, is the irrelevant alternatives criterion satisfied?

A. Yes
B. No


Answer: B

Mathematics

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Solve the system. x - y + 5z = 34x + z = 0 x + 5y + z = -15

A. {(0, -3, 0)} B. ? C. {(0, -3, 3)} D. {(0, 0, -3)}

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Use the ratio test to determine if the series converges or diverges.

A. Converges B. Diverges

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The function M(x) = 0.65x – 57 models the relationship between the number of bags of potato chips, x, that a certain vendor produces and the profit. Find M(1,000), the profit that the vendor makes from selling 1,000 bags of potato chips.

a. $705 b. $857 c. $593 d. $920

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Use the graphs to evaluate the expression.f(4) - g(-3)y = f(x)y = g(x) 

A. 8
B. 2
C.
D. -2

Mathematics