Find the derivative of the function.f(x) = (5x - 3)( + 3)

A. f'(x) = 7.5x1/2 - 1.5x-1/2 + 15
B. f'(x) = 3.33x1/2 - 3x-1/2 + 15
C. f'(x) = 7.5x1/2 - 3x-1/2 + 15
D. f'(x) = 3.33x1/2 - 1.5x-1/2 + 15


Answer: A

Mathematics

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Find the derivative.s = 4t2 + 9t + 4

A. 8t2 + 9 B. 8t + 9 C. 4t2 + 9 D. 4t + 9

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Solve the problem.The financial department of a company that produces digital cameras arrived at the following price-demand function and the corresponding revenue function:p(x) = 95.4 - 6xprice-demandR(x) = x ? p(x) = x(95.4 - 6x)revenue functionThe function p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in million dollars). Both functions have domain 1 ? x ? 15. They also found the cost function to be C(x) = 150 + 15.1x (in million dollars) for manufacturing and selling x cameras. Find the profit function and determine the approximate number of cameras, rounded to the nearest hundredths, that should be sold for maximum profit.

What will be an ideal response?

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Solve the problem.Michael's bank contains only nickels, dimes, and quarters. There are 53 coins in all, valued at $4.25. The number of nickels is 3 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?

A. 6 dimes B. 13 dimes C. 39 dimes D. 8 dimes

Mathematics

Identify any intercepts and test for symmetry. Then sketch the graph of the equation. ? y = |x- 4| ?

A. x- intercept: (4, 0)

y- intercept: (0, 4)

No symmetry

?

?


B. x- intercept: (-4, 0)

y- intercept: (0, 4)

No symmetry

?


C. x- intercept: (4, 0)

y- intercept: (4, 0)

No symmetry

?



D. x- intercept: (4, 0)

y- intercept: (0, 4)

No symmetry

?



E. x- intercept: (4, 0)

y- intercept: (4, 0)

No symmetry

?



Mathematics