Find the composite function for the given functions and state the domain. f ? g for f(x) = 3x + 6 and g(x) = -4x + 5

A. -12x + 29
B. -12x + 21
C. -12x
D. 12x + 21


Answer: B

Mathematics

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Solve the problem.A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish shown has a diameter of 8 feet and a depth of 3 feet. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. The receiver should be placed at the focus  The value of p is given by the equation  How far from the base of the dish should the receiver be placed? 

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A. 5 feet from the base
B.  feet from the base
C. 1 feet from the base
D.  feet from the base

Mathematics

Identify whether the average described is a mean, median, or mode.The average British man likes to watch soccer.

A. Median B. Mode C. Mean

Mathematics

Solve the problem.The motion of a projectile that is fired at a 45° angle with the horizontal is given by x = v0t,  for t in  Suppose a projectile is fired with an initial velocity of 100 feet per second at an angle of 45° with the horizontal. Find (a) the time when it strikes the ground and (b) the range (horizontal distance covered).

A. (a) 8.8 sec (b) 625 ft B. (a) 4.4 sec (b) 313 ft C. (a) 8.8 sec (b) 78 ft D. (a) 2.2 sec (b) 78 ft

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Find the right- or left-hand limit or state that it does not exist.

A. 4 B. -1 C. 1 D. Does not exist

Mathematics