Carter made a model of a boat. the length of the actual boat is 45 feet. carter’s model has a length of 7 1/2  inches. what scale did carter use to build his model?

a)1 in. = 4 ft
b)1 in. = 5 ft
c)1 in. = 6 ft
d)1 in. = 7 ft
e)1 in. = 8 ft

Precalculus question, image attached.

Which of the following is an example of a rational number? a. π b. √ 9 c. √ 8 d. 3.8362319

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).