Find the area of the region bounded by the graphs of the algebraic functions.
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Answer: A
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Solve the problem.Form a frequency distribution table for the data below. Do not group the data.
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The function graphed is of the form y = a tan bx or y = a cot bx, where b > 0. Determine the equation of the graph.
A. y = -4 tan 4x B. y = 4 cot 4x C. y = -4 cot x D. y = -4 cot 4x
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.
By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false.{ x is an integer between -6 and -1} = {-6, -5, -4, -3, -2, -1} and -2.5 ? -
A. True B. False