The height of a ball kicked in the air is modeled by the equation h(t) = -2t^2 +8t +24, where h is the height of the ball in feet and t is the time in seconds. What is the average rate of change of the function over the intervalt t = 2 to t = 5 A. -3

B. -6

C. 3

D. 6

Step-by-step explanation:

The rate of change in any function is the slope of the line between 2 points. Our points are t = 2 and t = 5. But we know that the slope formula also involves the h's for each of those t's. We need to find them first. The slope formula is

, but for us it will look like this (fittted to our needs):

. So we need to find those h's.

when t = 2, plug in a 2 for t and solve for h.

Therefore, and

h(2) = 32 and in coordinate form, (2, 32).

When t = 5, plug in a 5 for t and solve for h.

Therefore, and

h(5) = 14 and in coordinate form, (5, 14). Now we can plug into our slope formula:

, choice B.

The rate of change is -6 which, in words, means that the ball fell 6 feet every 1 second it fell.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

rauschg

rauschg · hand

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step-by-step explanation:

inverse property is the answer

step-by-step explanation: