Solve the equation. First simplify the expression by combining like terms.-8(k - 6) - (-9k - 9) = -4

A. {61}
B. {- 61}
C. {53}
D. {7}


Answer: B

Mathematics

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Describe the given set of points with a single equation or with a pair of equations.The circle in which the plane through the point (-4, 12, 1) perpendicular to the y-axis meets the sphere of radius 15 centered at the origin.

A. x 2 + y2 + z2 = 144 and y = 12 B. x 2 + y2 + z2 = 63 and y = 12 C. x 2 + y2 + z2 = 225 and y = 12 D. x 2 + y2 + z2 = 81 and y = 12

Mathematics

Match the surface show below to the graph of its level curves.

A.

B.

C.

D.

Mathematics

The demand function for a certain make of exercise bicycle sold exclusively through cable television is , where p is the unit price in hundreds of dollars and x is the quantity demanded/week. ?  Compute the elasticity of demand and determine the range of prices corresponding to inelastic, unitary, and elastic demand. ? 

A. ; for  demand is inelastic;

for  demand is unitary;

for  demand is elastic


B. ?

; for  demand is inelastic;

for  demand is unitary;

for  demand is elastic?


C. ?; for  demand is inelastic;

for  demand is unitary;

for  demand is elastic?


D. ?; for  demand is inelastic;

for  demand is unitary;

for  demand is elastic?


Mathematics

Solve the problem.A rocket is shot straight up in the air from the ground at a rate of 79 feet per second. The rocket is tracked by a range finder that is 411 feet from the launch pad. Let d represent the distance from the rocket to the range finder and t represent the time, in seconds, since "blastoff". Express d as a function of t.

A. d(t) = 
B. d(t) = 
C. d(t) = 411 + 79t2
D. d(t) = 4112 + (79t)2

Mathematics