Find the partial fraction decomposition for the rational expression.
A. 2x - 5 + +
B. 2x - 9 + +
C. 2x - 9 + +
D. 2x - 5 + +
Answer: A
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Use Cramer's rule to solve the linear system. If D = 0, use another method to determine the solution set. x + y = 78x + 8y = 56
A. Cramer's rule does not apply since D = 0; ? B. {(0, 0)} C. Cramer's rule does not apply since D = 0; {(7 - y, y)} D. {(1, 6)}
Find: a. The center and radius of the circle. b. The x- and y-intercepts of the graph of the circle.x2 + y2 - 4y - 5 = 0
A. a. center = (2, 0); radius = 9
b. (, 0), (-
, 0), (0, 5), (0, -1)
B. a. center = (0, 2); radius = 3
b. (, 0), (-
, 0), (0, 5), (0, -1)
C. a. center = (0, -2); radius = 9
b. (, 0), (0, 5), (0, -1)
D. a. center = (0, 2); radius = 3
b. (, 0), (0, 5)
Use the laws of exponents to simplify the algebraic expression 1/4.
A. (x + 5)3/2 B. (x + 5)3/4 C. (x + 5)1/2 D. (x + 5)3/8 E. none of these
Solve the problem.A hotel has 280 units. All rooms are occupied when the hotel charges $100 per day for a room. For every increase of x dollars in the daily room rate, there are x rooms vacant. Each occupied room costs $24 per day to service and maintain. What should the hotel charge per day in order to maximize daily profit?
A. $202 B. $192 C. $190 D. $102