Solve the problem.Determine which rational function R(x) has a graph that crosses the x-axis at -1, touches the x-axis at -4, has vertical asymptotes at x = -2 and x = 3, and has one horizontal asymptote at y = -2.
A. R(x) = 
, x ? -2, 3
B. R(x) = 
, x ? 2, -3
C. R(x) = 
, x ? -2, 3
D. R(x) = 
, x ? -4, -1
Answer: A
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Identify the equation as either an identity or not.sin 
cos 
= 
A. Not an identity B. Identity
Perform the indicated operations.( 4x2 + 11xy - 10) + ( 4x2 - 6x + 2) + ( -x2 - y - 5)
A. 9x2 + 11xy - 7x - 7y - 14 B. 8x2 + 3xy - 7 C. 7x2 + 11xy - 6x - y - 13 D. 7x2 + 4xy - 13
Provide an appropriate response.The probability that a car owner will become a car renter in five years is 0.03. The probability that a renter will become an owner in five years is 0.1. Suppose the proportions in the population are 64% owners (O), 35.5% renters (R) and .5% neither (N) with the following transition matrix. O R N 
Find the long-range probabilities for the three categories.
A. [0.94 0.06 0] B. [0.94 0.879 0.001] C. [0.666 0.333 0.001] D. [0.64 0.355 0.005]
What are the equations of lines A and C on the template for Sam’s dartboard?
Sam is sketching a template on graph paper to use as a guide for his painted cork dart board.
The diameter of Circle 1 is 2 feet and the distance between the edges of each of the next three
pairs of circles is 1 foot.The distance between Circle 4 and Circle 5 is 1/2 foot. Sam does not want
axes through or touching his template and therefore wishes to sketch the dart board only in
Quadrant I. At the closest points, he wants Circle 5 to be 1 unit from the y-axis and 1-unit from
the x-axis. In this case:
