Eastern Ice Company sells 10 pound blocks of ice in the shape shown. The volume of the block of ice is 375 Inches cubed. What is the height of the block of ice? Use the formula Height = StartFraction Volume Over length times width EndFraction, where l is the length of the prism, w is the width, V is the volume, and h is the height. 2.5 inches 4 inches 5 inches 7.5 inches

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0

Write the function for the graph. (1.8) (0,4)

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).