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
storchak [24]
3 years ago
12

For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

-\frac{7}{3}

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

m=\frac{f(b)-f(a)}{b-a}

where

m is the average rate of change

a is the first point

b is the second point

f(a) is the function evaluated at the first point

f(b) is the function evaluated at the second point

We want to know the average rate of change of the function f(x)=0.5^x-6 form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, a=-3 and b=0.

Replacing values

m=\frac{f(b)-f(a)}{b-a}

m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}

m=\frac{1-6-(8-6)}{3}

m=\frac{-5-(2)}{3}

m=\frac{-5-2}{3}

m=\frac{-7}{3}

m=-\frac{7}{3}

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is -\frac{7}{3}

You might be interested in
Natalie Jenny, Steve and Jatin paid $12 for their taxi. They shared this equally between them. What fraction did each pay?
algol [13]

Answer:

1/4

Step-by-step explanation:

12/4= 3

Each paid $3 but as a fraction 3/12=1/4

8 0
2 years ago
Read 2 more answers
What is 5 x 4 i will give you brainlist
Alekssandra [29.7K]
Five times four is 20
8 0
2 years ago
Read 2 more answers
Need help with math problem if do 5 stars
Novosadov [1.4K]
Here it is I hope this is what u needed

6 0
2 years ago
Read 2 more answers
heyyy i did question A but im stuck on question b so if you could help i would really appreciate it it is an emergency <3
stellarik [79]

Answer:

86 cm²

Step-by-step explanation:

Ok, so since 4 circles fit in the square, each circle's diameter must be 10.

Which means the radius of each circle is 5 because 10 ÷ 2 = 5.

Now we can solve for area.

A = πr²

A = 3.14 x 5²

A = 3.14 x 25

A = 78.5 cm²

78.5 cm² is the area of one circle so we multiply that by 4.

78.5 x 4 = 314 cm²

Now we subtract from the area of the square.

20 x 20 = 400 cm²

400 - 314 = 86 cm²

8 0
2 years ago
Select each correct answer.<br> 420 +22)<br> o 4 (4+2)<br> o 4 (40+2)<br> 4(4+20)
Vikki [24]

Answer:

sorry i don't know that

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A store marks up 68.99 lamp 40%. What is the new price of the lamp?
    15·1 answer
  • Derivative of -3x^2+4x
    10·1 answer
  • 7. Two measures of two angles of a triangle are 68° and 70°. Explain how to find the measure of the third angle.
    12·1 answer
  • 17% of a number is 135
    6·2 answers
  • At the end of the night, Pizza Inn has of a pizza left. The 4 employees each took home the same amount of
    13·1 answer
  • In a class of 32 students, the mean height of the 14 boys is 1.56 meters, the mean height of all 32 students is 1.515. Work out
    6·1 answer
  • ABC form a triangle where BAC equals 90° a B equals 10.8 mm and C equals 1.6 mm find the length of BC give your answer rounded t
    7·1 answer
  • I will mark branliest if correct
    7·1 answer
  • LOOKING FOR COCO!!! COCO WHERE R U???
    10·2 answers
  • If you have 66 data observations in a sample, how many classes (bins) does the sturges' rule recommend for you to construct a fr
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!