The width of a rectangular prism is five less than the length, and the height of the prism is twice the length. Let x represent the length of the prism. For what values of x will the volume of the rectangular prism be 500 cubic units or greater? x 8.5 units x ≤ 8.5 units x ≥ 8.5 units

Can someone explain to me how to do

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).

What type of symmetry does a rhombus have?