Triangle A B C is reflected across the line of reflection m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is doubled in size to form triangle A double-prime B double-prime C double-prime. Kyla applied rm ◦ T0,3 to triangle ABC. What mistakes did she make? Check all that apply.

She applied the rotation to the triangle first.
She applied the reflection to the triangle first.
She changed the size of the triangle instead of just applying a translation.
She translated the triangle down instead of just applying a reflection.
She applied a rotation instead of a reflection.

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

When is g(x) = 0 for the function g(x) = 5.23x + 4?

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).