Determine whether f and g are inverses by determining whether 
and 
f(x) = x - 2, g(x) = x + 2
A. Yes
B. No
Answer: A
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Solve the equation.4(12 - 3x) = 64
A. x = 3 B. x = 4 C. x = -3 D. x = 16
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.
Solve the problem. Round your answer to the nearest tenth, if necessary.The formula s = 16t2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. A stuntman jumps from a rooftop 320 ft off the ground. How long will it take him, falling freely, to reach the ground?
A. About 4.5 sec B. About 20 sec C. About 71.6 sec D. About 10 sec
Refer to the following recipe to first estimate the answer and then use multiplication or division to find the exact answer. Simplify. Old Grandma's Fork Cookies 1
cups brown sugar 1
cups white sugar 1
cups shortening 1 pinch salt 3 eggs 2
tsp soda 2
/> tsp cream of tartar 1
tsp vanillaCream sugars and shortening. Beat in remaining ingredients. Add flour to stiffen like regular cookie dough. Roll into balls, then flatten with a fork. Cook until brown.Find the amount of vanilla needed if the recipe is halved.
A. Estimate: 
tsp
Exact: 1
tsp
B. Estimate: 1 tsp
Exact: 
tsp
C. Estimate: 2 tsp
Exact: 3 tsp
D. Estimate: 
tsp
Exact: 1 tsp