For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.f(x) = x - 5; g(x) = 7x2;
Find f - g.
A. (f - g)(x) = -7x2 + x - 5; (-?, ?)
B. (f - g)(x) = 7x2 + x - 5; (-?, ?)
C. (f - g)(x) = 7x2 - x + 5; (-?, ?)
D. (f - g)(x) = -7x2 + x - 5; (-?, 5) ? (5, ?)
Answer: A
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Evaluate the factorial expression.
A. 140 B. 1680 C. 35 D. 70
Solve by using the quadratic formula.5x2 + 3 = 9x
A.
B. 0
C.
D. no real-number solutions
Find the area A. Round the answer to three decimal places.
A. 30.25 cm2 B. 47.517 cm2 C. 4.32 cm2 D. 95.033 cm2
Solve the problem.Car A (travelling north at 70 mph) and car B (traveling west at 40 mph) are heading toward the same intersection. Car A is 5 miles from the intersection when car B is 6 miles from the intersection. . Find a formula for the distance between the cars as a function of time, using the parametric equations that describe the motion of cars A and B. Using a graphing utility, find the minimum distance between the cars. When are the cars closest?
A. d = ; 2.73 mi; 5.45 min
B. d = ; 431.77 mi; 5.45 min
C. d = ; 2.73 mi; 0.09 min
D. d = ; 2.73 mi; 5.45 h