Solve the problem.P(x) = -x3 + 15x2 - 48x + 450, x ? 3 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.

A. 5 hundred thousand
B. 3 hundred thousand
C. 8 hundred thousand
D. 10 hundred thousand


Answer: C

Mathematics

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Solve the equation.a = 0

A. {19} B. {-19} C. {1} D. {0}

Mathematics

Factor the expression. Express your answer so that only positive exponents occur. (3m + 1)-2/5  + (3m + 1) 1/5  + (3m + 1) 7/5

A. (3m + 1)-2/5 [1 + (3m + 1) 3/5 + (3m + 1) 9/5] B. (3m + 1)-2/5 [1 + (3m + 1)-3/5 + (3m + 1) -9/5] C. (3m + 1)-2/5 [1 + (3m + 1) 4/5 + (3m + 1) 7/5] D. (3m + 1)-2/5 [1 + (3m + 1) 3/5 - (3m + 1) 9/5]

Mathematics

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.Zeros: -2, 1, 0; f(2) = 40

A. 5x2 + 5x - 10 B. 5x3 + 15x2 - 10x C. 5x3 - 5x2 - 10x D. 5x3 + 5x2 - 10x

Mathematics

Express the product as a sum containing only sines or cosines.sin(8?) cos(4?)

A. sin cos(32?2)
B. [sin(12?) + cos(4?)]
C. [cos(12?) - cos(4?)]
D. [sin(12?) + sin(4?)]

Mathematics