1. Suppose you and your friends form a band. You want to record a demo. Studio A rents for $100 plus $50 per hour. Studio B rents for $50 plus $75 per hour.
a. Write an equation to represent the cost of each studio.
Studio A:
Studio B:
b. Solve the system by graphing. Solution:
c. Explain what the solution of the system means in terms of renting a studio.

Mon wants to make 5 lbs of the sugar syrup. how much water and how much sugar does he need… …to make 5% syrup?

Express -5 2/5 as an improper fraction.

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).