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
Andru [333]
3 years ago
5

Given the function g(x)= -x^2 + x + 5, determine the average rate of change of the function over the interval -4 ≤ x ≤ 3.​

Mathematics
1 answer:
OleMash [197]3 years ago
8 0

Answer:

The average rate of change is 2.

Step-by-step explanation:

We are given the function:

g(x)=-x^2+x+5

And we want to find the average rate of change over the interval:

-4\leq x\leq 3

The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.

Our first endpoint is given by:

g(-4)=-(-4)^2+(-4)+5=-15

And our second endpoint is given by:

g(3)=-(3)^2+(3)+5=-1

This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:

\displaystyle ARC=\frac{-1-(-15)}{3-(-4)}=\frac{14}{7}=2

The average rate of change is 2.

You might be interested in
Evaluate ∫ e3x cosh 2x dx A.1/ e5x+1/ex+C 10 2 B. 1/ e3x + 1/ x + C 42 C. 1/ e5x + 1/ 10 5 x + C D. 1/ e5x + 1/ ex + C 22
Irina18 [472]
Sh(2x) = (e^2x + e^-2x)/2 

<span>Thus the integral becomes </span>

<span>Int[e^3x*(e^2x + e^-2x)/2] = Int[(e^5x + e^x)/2] </span>

<span>= e^5x/10 + e^x/2 + C 
</span>=(1/10)(e^5x) + (1/2)(e^x) + C
3 0
2 years ago
Need help with this question
alexgriva [62]

Answer:

4 : 3

Step-by-step explanation:

QRS to VUT

\frac{QR}{RS} =\frac{VU}{UT} \\\\\frac{8}{12} =\frac{6}{x} \\\\8x=72\\x=9

\frac{RS}{UT} =\frac{12}{9} =\frac{4}{3}

3 0
2 years ago
Read 2 more answers
Wich graph matches the equition x=5
svetlana [45]
Option 1
because the x line is vertical and that’s the only one that crosses at 5
8 0
2 years ago
Read 2 more answers
How do you model 4y in a bar model
geniusboy [140]
The answer is on the paper

7 0
3 years ago
If f(x) = 2x - 4 and g(x) = x2 - 4x, find f(1/4).
MAXImum [283]

Answer:

1/8

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • The equation of the line in this graph is y=____x +____  .
    13·2 answers
  • What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32
    13·1 answer
  • What is the <br> Number that the are talking about
    13·1 answer
  • Area measures 4 3/4 feet wide by 2, what is the total length in feetrr
    14·1 answer
  • The slope of the function ƒ (x) = 8 - 2x is _____. 2 - 2 8 -8
    13·2 answers
  • Help me with this problem please
    13·1 answer
  • Please Help!!!!! 30 Points!!!!
    10·2 answers
  • Write a different expression that has the same quotient as (−3)/8 and −(3/8) .
    15·2 answers
  • Please help :(<br><br>thank you!
    15·2 answers
  • Order the decimal greatest to least 8.31,8.295, 8.06,8.3
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!