8. Last year Carlito Olmstead drove 142,400 miles in the delivery van that he purchased 2 years ago for $22,565.00. It is now worth $10,320.00. HS variable costs this year were gasoline $28,365.21, oil and filters $598.10 2 sets of tires $897.60, battery $85.95, and maintenance $1,256.54. His insurance cost $2,884.26, registration was $159.65, and loan interest we $658.93. What was the cost per mile for an to operate his van?​

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).