Starting at home, Michael traveled uphill to the gift store for 24 minutes at just 10 mph. He then traveled back home along the same path downhill at a speed of 303030 mph. What is his average speed for the entire trip from home to the gift store and back?

Which expression is equivalent to7_/x^2 ÷ 5_/y^3? assume y# 0

Will possibly give brainliest and a high rating. choose the linear inequality that describes the graph. the gray area represents the shaded region. 4x + y > 4 4x – y ≥ 4 4x + y < 4 4x + y ≥ 4

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).