Sam is a waiter at a local restaurant where he earns wages of $7 per hour. sam figures that he also earns about $5 in tips for each person he serves. sam works 6 hours on a particular day. if n represents the number of people sam serves that day, which of the following functions could sam use to figure e, his total earnings for the day? a. e(n) = 7n + 30 b. e(n) = 5n c. e(n) = 5n + 42

According to the data set, where should the upper quartile line of the box plot be placed?

The scatterplot below shows the number of hours that students read weekly and the number of hours that they spend on chores weekly. which statement about the scatterplot is true?

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).