Determine which of the following methods is the best choice for solving the given equation: factoring, using the principle of square roots or using the quadratic formula. Then, solve the equation.x2 - 10x + 61 = 0

A. Square root principle; 10 ± 12i
B. Quadratic formula; 5 ± 6i
C. Factoring; -5, 6
D. Square root principle or factoring; 11, -1


Answer: B

Mathematics

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Write an equivalent double integral with the order of integration reversed.

A.
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Completely factor the polynomial or state that the polynomial is prime.9x2 - 39x - 30

A. prime B. (9x + 6)(x - 5) C. 3(3x + 2)(x - 5) D. 3(3x - 2)(x + 5)

Mathematics

Solve the problem.In 2012, the average annual salary for elementary school teachers was $24,269. In 2017, the average annual salary for elementary school teachers was $28,148. Let y be the average annual salary in the year x, where x = 0 represents the year 2012.a) Write a linear equation that models the average annual salary for elementary school teachers in terms of year x.b) Use this equation to determine the average annual salary for elementary school teachers in 2014.

A. a) y = 770.8x + 24,269 b) $25,820.60 B. a) y = 775.8x + 24,269 b) $26,596.40 C. a) y = 770.8x + 24,269 b) $25,810.60 D. a) y = 775.8x + 24,269 b) $25,820.60

Mathematics

Use a Venn diagram to find the indicated probability.Suppose P(R) = 0.45, P(S) = 0.67, and P(R ? S) = 0.34. Find P(R ? S').

A. 0.66 B. 0.33 C. 0.11 D. 0.32

Mathematics