Which number line represents the solution set for the inequality 4(x + 3) 5 2 2X? -3-2-1 0 1
2
3
4 5 6 7
1
3
67
-7-6-5-4-3-2-10
1
2 3 4 5
6
2

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

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).