Mr. Sam's swimming pool is in the shape of a parallelogram, as shown. What is the area of his swimming pool? 189 ft² 234 ft² 279 ft² 585 ft²

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).

Vikram is studying the square pyramid below. on st to find the surface area of the pyramid, in square inches, vikram wrote (33.2) (34 ikram wrote (33.2)(34.2)+43(34.2)(284) what error did vikram make? o he used the same expression for the area of all four lateral faces. he used the wrong expression to represent the area of the base of the pyramid. o he used the wrong value as the height when he found the area of the lateral faces. he used an expression for surface area that only finds the total area of three faces.

The westins and the shermans live in the same city and pay the same sales tax rate, and both families made $14,000 in taxable purchases last year. if the westins made $86,000 and the shermans made $33,000 last year, is the sales tax in their city an example of a regressive tax? yes, because the westins and the shermans both paid the same sales tax rate. b. no, because the shermans paid a higher percentage of their income in sales tax than the westins did. c. no, because the westins and the shermans both paid the same sales tax rate. d. yes, because the shermans paid a higher percentage of their income in sales tax than the westins did.