For the given functions f and g, find the requested composite function.f(x) = 4x2 + 4x + 5, g(x) = 4x - 8;Find the function g ? f.

A. 16x2+ 16x + 28
B. 4x2 + 16x + 12
C. 16x2 + 16x + 12
D. 4x2 + 4x - 3


Answer: C

Mathematics

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Solve the problem.The city council gave a questionnaire to its citizens, asking them to rank their priorities for next year's budget. People were asked to rank the following four choices: (P)olice, (R)oads, (S)chools, and (T)rash removal. The results are summarized in the table below.Which choice wins using the method of pairwise comparisons?

A. R B. S C. T D. P

Mathematics

Find the volume.A triangular pyramid with base area 24.2 ft2 and height 5.0 ft

A. 40 ft3 B. 38 ft3 C. 61 ft3 D. 120 ft3

Mathematics

Determine whether the sets A and B are equal, equivalent, both, or neither.A = {3, 14}B = {3, 1, 4}

A. Equivalent B. Neither C. Both D. Equal

Mathematics

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. Round your answer to four decimal places, if necessary.



P ( Z > 1.16 ) = __________

Mathematics