Christina sold raffle tickets at the school science fair. The pictograph below shows how many tickets were bought by different types of people.
Number of Raffle
Tickets Bought
Women
Men
Girls
OC
Boys
Key:
= 5 tickets
What fraction of the total number of tickets was bought by girls?
1
5
A.
5
1
o
B.
4
O
2
C.
5
1
O
D.
2

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).