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
Cerrena [4.2K]
3 years ago
5

Which exponential function is represented by the values in the table?

Mathematics
1 answer:
Goryan [66]3 years ago
8 0

Answer:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

f(x)=A\cdot r^x

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0

f(0) = 4

This gives the correct value of f(0)=4.

Substituting in the fourth function:

\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0

f(0) = \frac{1}{2}

This choice is wrong

Correct choice:

\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}

You might be interested in
Find the difference: 11 - 4.7
shutvik [7]

<u><em>Answer: 6.3 *The answer must be have a decimal point.*</em></u>

Explanation:

First, subtract by the numbers. Subtract it's going to be find the difference between the numbers.

11-4.7=6.3

You can also add by the numbers.

6.3+4.7=11

11-6.3=4.7

Hope this helps!

Thank you!

Have a great day!

7 0
3 years ago
Read 2 more answers
What is the quotient (3x4 + 4x – 15) + (x + 3)?
Hoochie [10]

Answer:

3x-5 and r=0

Step-by-step explanation:

We can do it by long division method  the required quotient is 3x-5 and r=0

not 3x-1 , r=1

multiply the divisor with 3x  we will get to cancel out the first term of dividend

Now after solving we will get  

Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.

5 0
3 years ago
I need to solve for X btw they are same side interior ( supplementary angles )​
Sidana [21]

Answer:

x = 17.2

Step-by-step explanation:

since they are supplementary, when you add then together they equal 180

4x + 8 + 6x = 180

Combine like terms

10x + 8 = 180

subtract 8 from both sides

10x = 172

divide each side by 10

x = 17.2

hope this helps :)

7 0
3 years ago
On a 16 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?
Oksanka [162]
Multiply 16*3 to get 48, the bike is 48 units so 16:1,16/1=16. So the answer would be 16. Hope I helped! 
4 0
3 years ago
Read 2 more answers
Please answer these and I will give brainliest!!!
ollegr [7]

Answer:

#1. 1232 feet per minute

#2. $14.81 per second

#3. 46.93 feet per second

Hope This Helps!

And that it's right!

4 0
3 years ago
Other questions:
  • Using the information below calculate the area of a triangle. base = 5 meters height = 10 meters
    8·1 answer
  • You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in
    12·1 answer
  • The radius of a circle is 7 millimeters. What is the circle's area?<br> r=7 mm<br> Use 3.14 for a.
    8·1 answer
  • Shenise is a star player for her women's basketball team. She has injured her ankle, and it is doubtful that she will be able to
    8·1 answer
  • Round the number to the hundredths place.
    10·1 answer
  • a store sells 14.5- ounces cans of tomatoes for $0.89 each. if the store sells 35 cans one day, how many total ounces of tomatoe
    14·1 answer
  • The ages of Raju and Ravi arw the ratio of their ages will be 4:5 . Find their present ages.
    6·1 answer
  • 12. Is 3 a solution to the equation 3x - 5<br> = 4 + 2x ? Explain<br> I
    7·2 answers
  • What is the measure of angle x?
    8·1 answer
  • On long division what is 927 divided by 7
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!