A cafeteria worker places a scoop of mashed potatoes on every tray. After 80 people had gone through the lunch line, there were 920 ounces of mashed potatoes remaining. After 120 people had gone through the lunch line, there were 800 ounces of mashed
potatoes remaining.
If p represents the number of people going through the lunch line and w represents the ounces of mashed potatoes remaining,
which equation can be used to model this situation?
OA. w=-1/3p+ 680
ОВ. w = 3p + 1,160
OC. w=-3p+1,160
OD. w=1/3-680

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).

Anita has a success rate of 80% on free throws in basketball. she wants to know the estimated probability that she can make exactly four of five free throws in her next game. how can she simulate this scenario? categorize each simulation of this scenario as correct or incorrect.

Marion has a bicycle that she is planning to take for a ride. the rim of the rear wheel lies 41 cm from the center of the wheel. the tire itself has a thickness of 3 cm. in order for marion to ride her bicycle 96,712 cm approximately how many rotations will the rear wheel make?