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
Vlada [557]
3 years ago
12

Graph a linear function which has a rate of change equal to the average rate of change of function f on the interval [-1, 1]. Th

e linear function should pass through the point (1,-2).

Mathematics
1 answer:
fomenos3 years ago
4 0
<h2>Answer:</h2>

The linear function is given by:

       y=\dfrac{3}{2}x-\dfrac{7}{2}

<h2>Step-by-step explanation:</h2>

It is given that the rate of change of the linear function is equal to the average rate of change of function f on the interval [-1, 1].

The slope(m) or average rate of change of  the linear function will be:

m=\dfrac{f(1)-f(-1)}{1-(-1)}\\\\\\m=\dfrac{-2-(-5)}{1+1}\\\\\\m=\dfrac{-2+5}{2}\\\\\\m=\dfrac{3}{2}

and the linear function pass through (1,-2)

We know that the equation of a line with given slope m and passing through point (a,b) is given by:

Here (a,b)=(1,-2)

and m=\dfrac{3}{2}

Hence, the equation of linear function is:

y-(-2)=\dfrac{3}{2}\times (x-1)\\\\\\y+2=\dfrac{3}{2}x-\dfrac{3}{2}\\\\\\y=\dfrac{3}{2}x-\dfrac{3}{2}-2\\\\\\y=\dfrac{3}{2}x-\dfrac{7}{2}

You might be interested in
I need to find the image coordinates of the pre-image using reflection, and it has to be reflected over the line x=2. How do I s
Sladkaya [172]
The answer would be ( x+1, y+4)...... Hope this helps

5 0
3 years ago
I need help on my math.
Elenna [48]

Answer:10 in on left side 13 on top

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into
guajiro [1.7K]

Answer:

Its C on edge 2020

Step-by-step explanation:

I took the test

7 0
3 years ago
Read 2 more answers
Anyone know the answer to any of these.
skad [1K]
A is c=75 B is a=120 C is b= square root of 75 and D= square root of 245
7 0
3 years ago
What is the value of x for the inequality in the box? 3 ( x − 7 ) + 4 ≥ 22
serious [3.7K]

Step-by-step explanation:

3(x-7) + 4 = 22

or,3x-21+4 = 22

or, 3x-17 = 22

or, 3x = 22+17

or, x = 39/3

    x = 13

7 0
2 years ago
Other questions:
  • Lily estimated a quotient of 120 and found an actual quotient of 83 what should she do next
    12·1 answer
  • What's is the absolute value -18 degrees?
    9·2 answers
  • What value of ​x satisfies the equation 6.4−2x−6.63x=610.5 ?
    9·1 answer
  • Sofia’s mother sent her to the grocery store with $10. If the sales tax rate that will apply at the time of her purchase is 6%,
    13·1 answer
  • which trends are reshaping the business, microeconomic and microeconomic environment and competitive arena?​
    12·1 answer
  • I just want to know if I did this correctly or not. This is something I just learned today.​
    8·1 answer
  • PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
    14·1 answer
  • Is he correct and show work please
    11·1 answer
  • Please answer correctly !!!!!!! Will mark 30 points !!!!!!!!!!!!!!!!
    13·1 answer
  • Help fast it due at 11pm
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!