1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergey [27]
3 years ago
6

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 fee

t 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
Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

Answer:

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

m=\frac{y_2-y_1}{x_2-x_1}, but for us it will look like this (fittted to our needs):

m=\frac{h_2-h_1}{t_2-t_1}. So we need to find those h's.

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

Therefore, h(2)=-2(2)^2+8(2)+24 and

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

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

Therefore, h(5) =-2(5)^2+8(5)+24 and

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

m=\frac{14-32}{5-2}=\frac{-18}{3}=-6 , choice B.

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

You might be interested in
Drag a statement or reason to each box to complete this proof.
Zolol [24]
Hope you can read this and hope it helps

5 0
3 years ago
Read 2 more answers
Answer the following function, algebra 1.
11111nata11111 [884]

Answer:

g(f(x)) = 1x² + 1

Step-by-step explanation:

We are given:
f(x) = x² - 1

g(x) = x + 2

And we want to find g(f(x)).

To do this, we substitute f(x) as x in x+2 (the expression that is equal to g(x)), as g(f(x)) is saying that f(x) is the value of x in g(x).

So, this will be:

g(f(x)) = x² - 1 + 2

Simplify

g(f(x)) = x² + 1

In your system, place 1 in front of x² - this is the coefficient of x², and also 1 after that - this is a constant.

4 0
2 years ago
sum_(n=0)^infinity (x+8)**n/(3**n) (a) Find the values of x for which the series converges. (Enter the smaller number first.) (
Fed [463]
Idk but probably the sum is 6367337282&363632$3!.??.):
5 0
3 years ago
3/4 divided by 2 and 1/2??? Plssss thank youuu.
natita [175]

Answer:

3/4 divided by 2 1/2 is 0.3

7 0
2 years ago
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Nady [450]
The correct answer is x because u have to look on the x axis
4 0
3 years ago
Other questions:
  • How do you solve x+113=2x+27
    7·2 answers
  • Sophie wrote odd numbers on her paper. what is a number sophie did not write?
    14·2 answers
  • Please help!<br><br> Questions above<br><br>(the options I choose are incorrect for sure)
    10·2 answers
  • Enter an equation that represents the data in the table. Need Help.
    6·1 answer
  • Solve for m:2/5=m/76
    5·1 answer
  • What advantages does money have over bartered goods? Check all that apply.
    11·2 answers
  • What is 3 minus (-7) with an explanation? Please do not waste my time answering randomly
    9·1 answer
  • There are rational numbers that are integers / true or false
    15·1 answer
  • Can someone please answer this im so tired man​
    14·1 answer
  • The width of a rectangle is the length minus 4 units. The area of the rectangle is 21 units. What is the width, in units, of the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!