You’ve seen how we can use different functions to model real-world situations, and you’ve studied those functions to understand how their graphs communicate information about the scenario. to build your understanding of how modeling with mathematics works, you’ll now create ideas for real-world situations in which an existing function could serve as the model. for each question, you will be asked to describe a relationship that could be modeled by the given function. for each question, there is no single correct

Simplify. 3(4+4x) (type your answer in with no spaces)

How do newtons third law of motion demonstrates on a rollar coster

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).