For the given functions f and g, find the requested composite function value.f(x) = , g(x) = 5x;Find (f ? g)(2).

A.
B. 5
C.
D. 5


Answer: C

Mathematics

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Find the first four terms of the binomial series for the given function.(1 + 6x2)3

A. 1 + 18x2 + 18x4 + x6 B. 1 + 18x2 + 54x4 + 162x6 C. 1 + 18x2 + 108x4 + 216x6 D. 1 + 18x2 + 180x4 + 1512x6

Mathematics

Perform the indicated operations.-8(7) - (-17) ? 3

A. -5 B. -107 C. 13 D. 5

Mathematics

Find the vertex, focus, and directrix of the parabola with the given equation.(y - 2)2 = -8(x - 4)

A. vertex: (2, 4)   focus: (0, 4)   directrix: x = 4 B. vertex: (4, 2)   focus: (2, 2)   directrix: x = 6 C. vertex: (4, 2)   focus: (6, 2)   directrix: x = 2 D. vertex: (-4, -2)   focus: (-6, -2)   directrix: x = -2

Mathematics

Enrollment statistics at a certain college show that 45% of all students are men, 10% of the student body consists of women majoring in business administration, and 35% of all students major in business administration. A student is selected at random.What is the probability that the selected student majors in business administration if the selected student is a women?

Fill in the blank(s) with the appropriate word(s).

Mathematics