Binda is working on an art project that requires 32 feet of ribbon. She has 17 1/2 feet of ribbon, but needs to purchase more ribbon to have enough to finish her art project. All of the ribbon will be cut into piece that are 1/4 foot long. Write and solve an equation that can be used to determine the number of feet of ribbon, x, that Binda needs to purchase to finish her art. How many 1/4 foot pieces of ribbon can Binda make from all 32 feet of ribbon?

1/3(x-10)=-4 solve for x with steps

20 ! brainliest ! add and simplify your answer.

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).