Scientists are studying the temperature on a distant planet. they find that the surface temperature at one location is 50 ° celsius. they also find that the temperature decreases by 5 ° celsius for each kilometer you go up from the surface. let t represent the temperature (in celsius), and let h be the height above the surface (in kilometers). write an equation relating t to h , and then graph your equation using the axes below.

Use the quadratic function to predict f(x) if x equals 8. f(x) = 25x2 − 28x + 585

Using only odd number for numerators write two different subtraction problems that have a difference of 3/4

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).