Jevon has joined a gym. The membership has an initial fee of $50.00 and costs $10.00 per month This table shows the linear relationship between the total cost, y, and the number of months Jevon is a member of the gym, X.
Fill in each box to correctly model the relationship between x and y.
Months, x
5
10
20
Total cost, y
25
$100.00
$
$200.00
$
$300.00

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).