Solve the problem.If f(x) = , g(x) = , and h(x) = 4x+ 16, find h(g(f(x))).

A. 4 + 16
B.
C.  + 4
D.  + 16


Answer: D

Mathematics

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Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms.y" - 36y = -30e-5t, y = 5, y'  = 0

A. y = e-6t + e5t 
B. y = e6t + e-5t 
C. y = e6t + e5t 
D. y = e6t + e-5t 

Mathematics

Write the equation of the line whose graph is shown.

A. y = - x - 3
B. y = - x - 5
C. y = 3x - 5
D. y = -3x - 5

Mathematics

Use the accompanying graph of a particle moving on a coordinate line with velocity v = f(t) in ft/sec at time t seconds. The axes are marked off at one-unit intervals. Use these terms to describe the motion state: moving forward/backward, increasing/decreasing speed, and resting. Recall that speed = Give the interval(s) when the particle is moving backward.

A. (11, 19) B. (8, 11) and (19, 21) C. (8, 21) D. (0, 8) and (21, 25)

Mathematics

Multiply.(7 - p)(6 - 3p + 8p2)

A. 42 + 27p + 59p2 + 8p3  B. 42 - 28p + 59p2 - 8p3 C. 42 - 27p + 59p2 + 8p3  D. 42 - 27p + 59p2 - 8p3

Mathematics