Aclass has $90 to spend on a field trip. the field trip costs $2.50 per person and there will be 5 chaperones on the trip. one
student used the inequality 90 > 2.50(x+5) to find x, the number of students that the field trip budget could accommodate.
which best describes the error in the student's inequality?
the expression representing the cost should be 2.50(5x).
the expression representing the cost should be 2.50(x+5x).
the inequality symbol should be instead of > since up to and including 590 may be spent.
the inequality symbol should be s instead of > since less than or equal to $90 may be spent.

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).