Solve the equation by expressing each side as a power of the same base and then equating exponents.32x = 

A.
B. {-5}
C.
D.


Answer: D

Mathematics

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Find the value of the expression.log7 

A. -2 B. -7 C. 2 D. 7

Mathematics

Solve the problem.A company that produces handbags has found that revenue from the sales of the handbags is $4 per handbag, less sales costs of $100. Production costs are $125, plus $3 per handbag. Profit (P) is given by revenue (R) less cost (C), so the company must find the production level x that makes P > 0, that is, R - C > 0.(a) Write an expression for revenue, R, letting x represent the production level (number of handbags to be produced.)(b) Write an expression for production costs C in terms of x.(c) Write an expression for profit P, and then solve the inequality P > 0.(d) Describe the solution in terms of the problem.

A. (a) R = 4x + 100; (b) C = 125 + 3x; (c) P = (4x + 100) - (125 + 3x) = x - 25; x > 25; (d) To make a profit, more than 25 handbags must be produced and sold. B. (a) R = 4x - 100; (b) C = 125 + 3x; (c) P = (4x - 100) - (125 + 3x) = x - 225; x > 225; (d) To make a profit, more than 225 handbags must be produced and sold. C. (a) R = 4x - 100; (b) C = 75 + 5x; (c) P = (4x - 100) - (75 + 5x) = x - 125; x > 125; (d) To make a profit, more than 125 handbags must be produced and sold. D. (a) R = 4x - 100; (b) C = 125 - 3x; (c) P = (4x - 100) - (125 - 3x) = x - 175; x > 175; (d) To make a profit, more than 175 handbags must be produced and sold.

Mathematics

Multiply the binomials.(-9 + x)(5x + 8)

A. 5x2 - 37x - 72 B. x2 - 37x - 37 C. 5x2 - 38x - 72 D. 5x2 - 72x - 37

Mathematics

Solve the problem.Yesterday the temperature at 1:00 a.m. was - Today at 1:00 a.m. the temperature was  What is the difference between these two temperatures?

A. 29°F B. 27°F C. 11°F D. 54°F

Mathematics