Point G is the incenter of the triangle. Point G is the incenter of triangle E D F. Lines are drawn from each point of the triangle to point G. Lines are drawn from point G to the sides of the triangle. Angle D F G is 16 degrees. Angle G F E is (2 x) degrees.
What is the value of x?

4
8
24
32

What is the solution to the equation 9^(x+1) =27

Ab and bc are tangent to circle d. find x is ab = 3x + 8 and bc = 26. find x

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).