The video streaming service that you want to use is represented with the equation below, where y represents the the total monthly cost of the service and x represents the number of videos you plan to stream each month: y = $1.25x + $5.00 What is the total cost of the service for the month if you stream 5 videos? O $10.00 O $11.25 O $25.00 O $26.25 What is the answer to the question 1 written as an ordered pair? O (5, $5.25) O (5, $11.25) O ($5.25, 5) O ($11.25, 5)

What two criteria are needed for triangles to be similar

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.

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).