.The equation p = 3f - 50 can be used to represent a shop's profit from Valentine's Day's flower sales, where f represents the number of flowers sold and p is the profit. Which statement about the equation is true? The y-intercept is 3, and it represents the number of flowers the shop had before Valentine's Day. The slope is -50, and it represents how many flowers were sold. The y-intercept is -50, and it represents the price of each flower. The slope is 3, and it represents the price of each flower.

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).