Find the partial fraction decomposition for the rational expression.

A.  - 
B.  - 
C.  - 
D.  + 


Answer: C

Mathematics

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Solve the problem.The town of Appleville recorded the following dates and populations. (i) Draw a graph of the population as a function of time.  (ii) What is the approximate population of Appleville in 1997?

A. (i) 

(ii) 44,000
B. (i) 

(ii) 43,000
C. (i)

(ii) 41,000
D. (i)

(ii) 42,000

Mathematics

Find the first year's depreciation, using the double-declining-balance method. Round to the nearest dollar.Cost: $3,400Est. life: 6 yearsEst. scrap: $800

A. $1,133 B. $433 C. $867 D. $567

Mathematics

Find the acute angle between the lines.(1 + ) x + (1 - ) y = -18 and  x + y = 15

A. 30° B. 75° C. 45° D. 60°

Mathematics

A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)? Q(x) + R(x).P(x) = 2x4 - x3 - 15x2 + 3xd(x) = x + 3

A. (x + 3)(2x3 - 5x2 + 3) + 9 B. (x + 3)(2x3 + 5x2 + 3) + 9 C. (x + 3)(2x3 - 7x2 + 6x - 15) + 45 D. (x + 3)(2x3 - 7x2 + 6x - 15) - 45

Mathematics