Provide an appropriate response.You are finding the partial fraction decomposition of the expression  .You should ...

A. Solve the equation x3 - 12x + 35 = A(x - 7) + B(x - 4)
B. Solve the equation x2 - 11x + 28 = (Ax + B)(x3 - 12x + 35)
C. Use long division to divide the numerator by the denominator
D. Solve the equation x3 - 12x + 35 = (Ax + B)(x2 - 11x + 28)


Answer: C

Mathematics

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Solve the problem.A television manufacturing company has two different factories. The profit function for Factory I when x televisions are manufactured and sold is as follows: P(x) = -0.07x2 + 25x - 250The profit function for Factory II when x televisions are manufactured and sold is as follows: P(x) = -0.075x2 + 35x - 1500For what number of televisions is the profit the same at both factories, and what is the profit?

A. 0 televisions; $0 B. 125 televisions; $1781.25 C. 233 televisions; $2583.33 D. 134 televisions; $1843

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Graph the function.y = 5x + 1 + 3

A.

B.

C.

D.

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Solve.5(2z - 3) = 9(z + 3)

A. 12 B. 42 C. 17 D. -12

Mathematics

Solve the problem.Two bacteria are placed in a petri dish. The population will double every day. The formula for the number of bacteria in the dish on day t is  N(t) = 2(2)twhere t is the number of days after the two bacteria are placed in the dish. How many bacteria are in the dish eight days after the two bacteria are placed in the dish?

A. 12 B. 128 C. 32 D. 512

Mathematics