Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x

A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)

I labeled them all on Desmos & they all seem to lie on it, which is why I need help.

Answers

Answer 1
It’s a hope that helps have a good one
Answer 2

The ordered pair does not lie on the graph of the exponential function

is (12, 0).

Option A is the answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]

We need to substitute the values of x and y into the function and see if the equation holds true.

A. (12, 0)

Substituting x = 12 and y = 0 into the function, we get:

[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]

This does not equal y = 0, so (12, 0) does not lie on the graph of the function.

B. (-2, 48)

Substituting x = -2 and y = 48 into the function, we get:

[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]

This does not equal y = 48, so (-2, 48) does lie on the graph of the function.

C. (2, 3/16)

Substituting x = 2 and y = 3/16 into the function, we get:

[tex]f(2) = 3(1/4)^2 = 3/16[/tex]

This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.

D. (0, 3)

Substituting x = 0 and y = 3 into the function, we get:

[tex]f(0) = 3(1/4)^0 = 3[/tex]

This equals y = 3, so (0, 3) does lie on the graph of the function.

Therefore,

The ordered pair does not lie on the graph of the exponential function

is (12, 0).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2


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Answer:

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Compute four-week and five-week moving averages for the time series. If required, round your answers to two decimal places. Week Sales 4 Period Moving Average 5 Period Moving Average 1 17 2 21 3 19 4 23 5 18 fill in the blank 1 6 16 fill in the blank 2 fill in the blank 3 7 20 fill in the blank 4 fill in the blank 5 8 18 fill in the blank 6 fill in the blank 7 9 22 fill in the blank 8 fill in the blank 9 10 20 fill in the blank 10 fill in the blank 11 11 15 fill in the blank 12 fill in the blank 13 12 22 fill in the blank 14 fill in the blank 15

Answers

Answer:

     fill in the blank 1      =20

fill in the blank 2    =20.25            

fill in the blank 3 =  19.4

   fill in the blank 4     =  19.75                  

 fill in the blank 5 =19.6                                                                  

 fill in the blank 6  =  19.25                    

fill in the blank 7=19.2

  fill in the blank 8  =   18              

fill in the blank 9= 19

fill in the blank 10 = 76/4=19                

  fill in the blank 11 =   18.8

Step-by-step explanation:

Week        Sales      4 Period Moving Average      5 Period Moving Average

1                  17                      

2                 21      

3                 19          

4                 23                  

5                  18              fill in the blank 1  

                                           =20

6                   16        fill in the blank 2               fill in the blank 3

                                       =20.25                            19.4

7                  20        fill in the blank 4                     fill in the blank 5

                                    19.75                                     19.6

8                   18          fill in the blank 6                fill in the blank 7

                                       19.25                                   19.2

9                   22       fill in the blank 8               fill in the blank 9

                                        18                                      19

10                20           fill in the blank 10            fill in the blank 11

                                           76/4=19                        18.8

11                15      fill in the blank 12                      fill in the blank 13

                                  20                                               19.2

12              22           fill in the blank 14               fill in the blank 15

                                      18.75                                   19

The formula used for moving average is

a1= 1/4 ( W1+W2+W3+W4)

a2= 1/4 ( W2+W3+W4+ W5)

a3= 1/4( W3+W4+ W5+W6)

and so on

Where W1= week 1, W2= week 2 ,W3=  week3

a1= 1st average , a2= 2nd average

The similar process is used for five year moving average

a1= 1/5 ( W1+W2+W3+W4)

a2= 1/5 ( W2+W3+W4+ W5)

a3= 1/5( W3+W4+ W5+W6)

Only it is divided by 5 instead of 4

To calculate the four-week and five-week moving averages, we need to sum up the sales for the specified number of weeks and divide by the corresponding period.

Week | Sales | 4-Period Moving Average | 5-Period Moving Average

-----|-------|------------------------|------------------------

1    | 17    |                        |                      

2    | 21    |                        |                      

3    | 19    |                        |                      

4    | 23    |                        |                      

5    | 18    | 20.00                  |                      

6    | 16    | 19.25                  |                      

7    | 20    | 19.50                  |                      

8    | 18    | 19.25                  |                      

9    | 22    | 19.00                  |                      

10   | 20    | 19.00                  |                      

11   | 15    | 18.75                  | 19.20                

12   | 22    | 18.75                  | 19.20                

13   | 22    | 19.75                  | 19.40                

14   |       | 19.75                  | 19.40                

15   |       | 19.75                  | 19.40                

The four-week moving average is calculated by summing up the sales of the current week and the previous three weeks, and then dividing by 4. The five-week moving average is calculated similarly, but with a period of five weeks.

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