Express (5x+3)/((2x-3)(x+2)) in partial fractions

(5x+3)/((2x-3)(x+2)) = 3/(2x-3)+1/(x+2)

Step-by-step explanation:

Let

(5x+3)/((2x-3)(x+2)) = A/(2x-3)+B/(x+2)

5x+3=A(x+2)+B(2x-3)

5x+3=x(A+2B)+(2A-3B)

comparing x:

5=A+2B ... (1)

comparing constant:

3=2A-3B ... (2)

By solving:

A=3, B=1

(5x+3)/((2x-3)(x+2)) = 3/(2x-3)+1/(x+2)

answer: what in the world is this

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: