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
Ugo [173]
3 years ago
7

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 2.

Mathematics
2 answers:
Bad White [126]3 years ago
8 0

I believe the correct given equation is in the form:

f (x) = 2^x + 1     where x is an exponent of the number 2

Now to solve for the average rate of change of the given function from points x = 0 and x = 2, we must first assume that the graph between those two points is linear. With that, we can solve for the average rate of change using the slope formula, that is:

 

average rate of change = slope = [f (x2) – f (x1)] / (x2 – x1)

 

Therefore,

average rate of change = [(2^2 + 1) – (2^0 + 1)] / (2 – 0)

average rate of change = [5 – 2] / 2

average rate of change = 3 / 2

average rate of change = 1.5

maksim [4K]3 years ago
4 0
The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place. 

The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.

f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5

So, the slope is equal to:

Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
You might be interested in
30 POINTS FOR ANSWER!!<br> 2 numbers sum 120 and product 400<br> INSTANT ANSWER NEEDED
OLga [1]
I think the problem is
2X+20=400
You just have to answer I think X and X equals that two numbers I’m not 100% sure but I’m trying to help
4 0
3 years ago
Convert 0.34285714285 into an improper fraction
Stolb23 [73]

Answer:

34285714285/100000000000

Step-by-step explanation:

To write 0.34285714285 as a fraction you have to write 0.34285714285 as the numerator and put 1 as the denominator. Now you multiply the numerator and denominator by a number that makes the numerator to a whole number.

And finally, we have:

0.34285714285 as a fraction equals 34285714285/100000000000

5 0
3 years ago
There are 3 people pulling on an object, the first person pulls with a force of 226 newtons at a direction of 145 degrees the se
Alona [7]

Answer:

R=883.74N

Step-by-step explanation:

From the question we are told that:

Force 1 F_1=226N

Force 2 F_2=331N

Force 3 F_3=377N

Direction 1  \theta_1=145 degrees \approx 35 \textdegree (2nd qudrant)

Direction 2 \theta_2=303 degrees \approx 57 \textdegree (3rd qudrant)

Direction 3 \theta_3=77 degrees

Generally Resolving forces to X axis is mathematically given by

 \sum f_x=337cos77+331cos57+226sin35

 \sum f_x=351.596N

Generally Resolving forces to Y axis is mathematically given by

 \sum f_y=337sin77+331sin57+226cos35

 \sum f_x=810.788N

Generally the equation for Resultant force R is mathematically given by

 R=\sqrt{\sum f_x^2+\sum f_x^2}

 R=\sqrt{351.596^2+810.788^2}

 R=883.74N

7 0
3 years ago
In 3 apples cost 48¢ , how many dozen apples can be bougth for $3.84?
Law Incorporation [45]

1 dozen = 12 apples.

3 apples cost 0.48, multiply that by 4 to get the price of 1 dozen.

0.48 x 4 = $1.92 per dozen.


Divide the total you can spend ( 3.84) by cost per dozen:


3.48 / 1.92 = 2


You can buy 2 dozen.

6 0
3 years ago
Read 2 more answers
The price of a plane ticket has increased from $150 to $200. By what percent has the price increased? A) 15% Eliminate B) 25% C)
german

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Kathy has savings a hundred thousand if she invested 100,000 in a saving fund thats adds 5% each year about how much will her sa
    13·1 answer
  • What is 42.735 to nearest one​
    7·1 answer
  • I don’t understand please help. WILL GIVE BRAINLY. Zoom in if you can’t see
    6·2 answers
  • Surface area of a prism
    9·1 answer
  • (a/5) - (b/3) = (a/2) - (b/6), solve for a
    10·1 answer
  • What is 3000000 as 10 raised to a power.
    15·1 answer
  • 7. Find the slope of the following equation. Simplify your answer.
    8·1 answer
  • This graph represents a linear function.
    5·1 answer
  • 4 7/10 + 6/8 Fractions please help cant solve. used two methods but answer isnt the same as the answer page from the book
    7·2 answers
  • Please help me thank you​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!