For the pair of functions, find the indicated composition.f(x) = 4x2 + 3x + 5, g(x) = 3x - 3Find (g ? f)(x).
A. 4x2 + 9x + 12
B. 12x2 + 9x + 18
C. 12x2 + 9x + 12
D. 4x2 + 3x + 2
Answer: C
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Solve the problem.Consider the generic weighted voting system [q : w1, w2, w3, w4]. Suppose that P1 is a pivotal player 12 times and P2 is pivotal 4 times. What is the Shapley-Shubik power index of P4?
A. 0
B.
C.
D.
E. Can't be determined from the given information.
Find the product.-11(7)
A. -77 B. 66 C. -66 D. -84
Solve the problem.When going more than 38 miles per hour, the gas mileage of a certain car fits the model where x is the speed of the car in miles per hour and y is the miles per gallon of gasoline. Based on this model, at what speed will the car average 15 miles per gallon? (Round to nearest whole number.)
A. 48 miles per hour B. 73 miles per hour C. 98 miles per hour D. 149 miles per hour
The standard width of a new piston ring is 0.1671 in. If a used ring measures 0.1622 in., how much has it worn?
A. 0.0004 in. B. 0.0049 in. C. 0.0122 in. D. 0.0038 in. E. 0.017 in.