Find an equation for the tangent to the curve at the given point.y = x2 - 1, (-3, 8)

A. y = -6x - 10
B. y = -6x - 20
C. y = -6x - 19
D. y = -3x - 10

Answer: A

Mathematics

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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.

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Mathematics

Solve.Suppose that you own a home which is valued at $153,000. You must move to a different city. Use the formula below to find out how much it would cost to buy a similar (replacement) home in the city that you will move to. Assume that the index of your city is 207 and that the index of the new city is 137. Round your answer to the nearest dollar. Cost of Your Home in New City = (Value of Your Home) ÷ (Index of Your City) × (Index of New City)

A. $101,261 B. $106,761 C. $231,175 D. $223,575

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Mathematics