Help! Giving brainliest and 10+ points, A ball is dropped from the top of a 400-ft tall tower. The relationship between the time
, t, in seconds, and the height, h(t), in feet, of the ball can be modeled by a quadratic function. Specific values of the function are shown in the table below
Part A: Determine the average rate of change of h(t) between t = 2 and t = 5.
Part B:Explain what this average rate of change means in terms of the context.
Part A: Determine the average rate of change of h(t) between t = 2 and t = 5.
Part B:Explain what this average rate of change means in terms of the context.
1 answer:
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Answer:
-10
-5
5
Step-by-step explanation:
From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250
The Remainder Theorem is going to take a bit to solve.
You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.
The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.
However just to get the roots, the graph shows that
x = -10
x = - 5
x = 5
The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give
f((10) = 10^3 + 10*10^2 - 25*10 - 250
f(10) = 1000 + 1000 - 250 - 250
f(10) = 2000 - 500
f(10) = 1500 which is not 0.
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f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250
f(1) = 1 + 10 - 25 - 250
f(1) = -264 which again is not zero
