The time it takes John to get to the store is inversely proportional to his rate. John walks at a rate of 3 miles per hour. It takes him 20

minutes to walk to the store. He rides his bike at a rate of 15 miles

per hour. How long would it take John to ride his bike to the store?

Weak battery is considered to be a part of routine a. inspection b. wear and tear c. maintenance d. check

What is the circumference of the pie

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).