Anut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $4.25 per pound of pecans. over the entire day, 115 pounds of the nut mixture was sold for $358.75. if p is the number peanuts and n is the number of pecans, then the system of equations that models this scenario is: p+n=115p+4.25n=358.75 determine the correct description and amount of pounds for peanuts and pecans that were sold.

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).