Insert < or > between each pair of numbers to form a true statement.0.95 _____ 0.91
A. <
B. >
Answer: B
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Provide an appropriate response.Solve for x in the proportion. =
A. x = 6 B. x = 7 C. x = 1 D. x = 0
Simplify. Assume variables represent nonnegative values.
A. 3x2
B. 3x
C. 3xy
D. 3xy2
Solve the problem.A company that produces handbags has found that revenue from the sales of the handbags is $8 per handbag, less sales costs of $50. Production costs are $75, plus $7 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 = 8x - 50; (b) C = 25 + 9x; (c) P = (8x - 50) - (25 + 9x) = x - 75; x > 75; (d) To make a profit, more than 75 handbags must be produced and sold. B. (a) R = 8x - 50; (b) C = 75 + 7x; (c) P = (8x - 50) - (75 + 7x) = x - 125; x > 125; (d) To make a profit, more than 125 handbags must be produced and sold. C. (a) R = 8x - 50; (b) C = 75 - 7x; (c) P = (8x - 50) - (75 - 7x) = x - 75; x > 75; (d) To make a profit, more than 75 handbags must be produced and sold. D. (a) R = 8x + 50; (b) C = 75 + 7x; (c) P = (8x + 50) - (75 + 7x) = x - 25; x > 25; (d) To make a profit, more than 25 handbags must be produced and sold.
Write the expression as one logarithm.logb x + logb y
A. logb xy B. log2b (x + y) C. log2b xy D. logb (x + y)