Mr. Nguyen placed a cup containing 45 erasers on his desk in his classroom on Monday. Each day for 3 days, his students removed the same number of erasers from the cup. At the end of the third day, there were 18 erasers left in the cup. Which equation can be used to find the number of erasers the students removed from the cup each day?
O 45 – 3n = 18
45-18n - 3
O 45 x 3 - 18 =
45 x 3-1-18

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).