Factor, if possible.18x4 + 63x3 - 36x2
A. 9x2(2x - 1)(x + 4)
B. (18x2 - 9)(x2 + 4)
C. 9x(2x + 1)(x - 4)
D. x2(2x - 1)(9x + 36)
Answer: A
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Provide an appropriate response.What effect does a 270° rotation about the origin have on the equation of the hyperbola (x2/a2) - (y2/b2) = 1? Give the new equation.
A. -
= 1
B. +
= 1
C. -
= 1
D. -
= 1
Find a formula for the inverse of the function described below.32° Fahrenheit = 0° Celsius. A function that converts temperatures in Fahrenheit to those in Celsius is .
A. f-1(x) = x + 32
B. f-1(x) = x - 32
C. f-1(x) = (x - 32)
D. f-1(x) = x + 32
Solve the problem.A furniture manufacturer decides to make a new line of desks. The table shows the profit, in thousands of dollars, for various levels of production.Find a quadratic function to model the data, and use the model to predict the profit if 450 chairs are made.
A. Almost $44,000 B. Almost $42,000 C. Just under $45,000 D. Just over $40,000
The management of Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by
?
?
respectively, where p is measured in dollars and x is measured in thousands of units. Find the equilibrium quantity and price.
?
A. xb = 7,000 units pb = $84 B. xb = 6,000 units pb = $69 C. xb = 6,500 units pb = $69 D. xb = 6,000 units pb = $89 E. xb = 7,000 units pb = $89