From the table below, determine whether the data shows an exponential function. Explain why or why not.
Х
3 6 9 12
у 1 2 4 8
a. No; the domain values are at regular intervals.
b. No; a different value is added to each range value.
C. No; there is no relationship between the x value and its corresponding y value.
d. Yes; the domain values are at regular intervals and the range values have a common factor
2.
Please select the best answer from the choices provided
А

Answers

Answer 1

Answer:

C. no; there is no relationship between the x value and its corresponding y value

Step-by-step explanation:

Sana nakatulong

Answer 2

The required, option D correctly identifies that the domain values are at regular intervals and the range values have a common factor, which is consistent with an exponential function.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
To determine whether the data shows an exponential function, we need to check whether there is a constant ratio between successive y-values for a constant change in the x-value.

Looking at the table, we can see that:

When x increases by 3 units (from 3 to 6), y doubles (from 1 to 2).

When x increases by another 3 units (from 6 to 9), y doubles again (from 2 to 4).

When x increases by another 3 units (from 9 to 12), y doubles once more (from 4 to 8).

Therefore, there is a constant ratio of 2 between successive y-values for a constant change in the x-value of 3. This means that the data does show an exponential function.

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Related Questions

Write the following as an algebraic expression. Then simplify.
The perimeter of the rectangle with length z + 3 and width z.
Z
z+3
The answer is a
(Simplify your answer.)

Answers

Answer:

6z

Step-by-step explanation:

Welcome for the answer. This answer is only for good intentions only report if necessary. Have a great rest of your day!

The perimeter of the rectangle is given by the algebraic expression: 4z + 6

How to find the perimeter of a rectangle?

The formula for the perimeter of a rectangle is expressed as:

P = 2(L + W)

Where:

W is width

L is length

We are given the following parameters as:

Length = z + 3

Width = z

Thus:

P = 2(z + z + 3)

P = 2(2z + 3)

P = 4z + 6

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Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.

Answers

Answer:

t = 28 minutes

Step-by-step explanation:

Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.

45 minutes = Number of minutes for hip-hop routine + Number of minutes for tap dance

The equation is given as

45 = 17 + t

Solving for t

t = 45 - 17

t = 28 minutes

Shes spent 28 minutes tap dancing

i don’t really know what to do, can someone help me?

Answers

123° and the adjacent angle (The one next to it, but inside the triangle) added together equal 180°. 180 - 123 = 57°.

The three angles of a triangle, when added up, equal 180°.

So x + 57 + 92 = 180
x + 149 = 180
x = 31°

let me know if you have any questions

Answer:

x = 31˚

Step-by-step explanation:

The straight line will always have 180˚.  180 - 123 = 57˚.

A triangle will always have the angles add up to 180˚.  180 - 57 - 92 = 31˚

x = 31˚

PLSS HELPP

Find the trigonometric ratio as a fraction Tan N =
Find the trigonometric ratio as a fraction Tan L =

Answers

I think the answer for #1 is 3/4 and for #2 is 3/5.

Answer:

Tan N = 4 / 3

Tan L = 3 / 4

Step-by-step explanation:

By Pythagoras theorem,

(LN)² = (MN)² + (LM)²

10² = 6² + (LM)²

100 = 36 + (LM)²

(LM)² = 100 - 36

(LM)² = 64

LM = 8

Tan N

= Opposite / Adjacent

= LM / MN

= 8 / 6

= 4 / 3

Tan L

= 1 / Tan N

= 1 / ( 4 / 3 )

= 3 / 4

First come first served brainiest

Answers

Step-by-step explanation:

firat one 50.24

second one 63.585


Can y’all plz help I will mark u

Answers

Answer:

4/8

Step-by-step explanation:

7/8 - 3/8 - 4/8

4/8 + 3/8 = 7/8

n = 4/8

hope this helps

3/8 + n= 7/8

want to get n on its own so -3/8 from both sides

n=7/8-3/8
n=4/8
n=1/2 or 0.5

The value of -8/15 · 20/65 is _____.
-1/6
1/6
2/3
- 2/3

Answers

Step-by-step explanation:

2/3 is right and ok then thank

The area of the parallelogram is 936 sq ft what’s the height

Answers

Answer:

h = 24 ft

Step-by-step explanation:

A = 936 ft^2, b = 39 ft.

A = bh

Divide both sides by b:

h = A/b = 936 ft / 39 ft = 24 ft  

A circle has a radius of 2 feet. What is the circumference of the circle? (Use π ≈ 3.14)

A. 4 ft
B. 8 ft
C. 12.56 ft
D. 14.65 ft

Answers

it should be C because you need the diameter which is 2 x 2 so 4 and then times that by pi and it should equal 12.56

Answer:

C) 12.56

two times 3.14 times the radius.

pleaseeee please please

Answers

Answer:

Step-by-step explanation:

300 mountain bike is discounted by 30% and then discounted an additional 10% for shoppers Who arrive before 5 AM find the sales price of the bike what was the total savings

Answers

Answer:

hodiwkwoleñelflelflgkkg

determine the sequence

Answers

Answer:

Add 3 each time. (for question #8)

Step-by-step explanation:

9+3=12

12+3=15

15+3=18

18+3=21

21+3=24

24+3=27

.

.

.

Hi someone please help. 5TH GRADE HELP

Answers

Answer:

10

Step-by-step explanation:

2 [32 - (4 - 1)³]

2[32 - (3)³]

2[32 - 27]

2[5]

10

Answer : 10

Step - by - step explanation :

First, solve from in to out . . .

2 [ 32 - ( 4 - 1 )³ ] =

2 [ 32 - ( 3 )³ ] =

2 [ 32 - 27 ] =

2 [ 5 ] =

10

( sorry if i'm wrong )

HELP ASAP!!? HELP ME PLEASE!! 10 POINTS

Answers

Answer:

D)  3x²y

Step-by-step explanation:

Write -1/19, 7/14,-4/7 in order from least to greatest

Answers

Answer:

35

Step-by-step explanation:

Find the volume of this cube ​

Answers

Answer:

Step-by-step explanation:

This is a cube so the formula for the volume of a square is a³ = Volume

This means:

5³ = V

V = 125in³

Answer:

125 in^3

Step-by-step explanation:

b/c

v=L×w×h

V=5 in×5 in×5 in

v=125 in^3

6. Tom cycles to his Grandmother’s house, which is 12km from his home.
He stays there for 45 minutes.

The distance-time graph shows his journey.

Work out the fastest speed that Tom cycles at on his way to his grandmother’s house.

Answers

Answer:

fastest:  his rate of change from 9am-9:30am was 4 km per 15 minutes

Step-by-step explanation:

his rate of change between 10-11am was zero

between 9:30 and 10:00 his rate of change was 2 km per 15 minutes

Given square JKLM, JK=9. Find JL

Answers

Answer:

answer is 18

Step-by-step explanation:

.................

Answer:

11

Step-by-step explanation:

It may not be correct

Fast help please quick answer

Answers

Answer:

ohh ok fast answer

its option 3

Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

Answers

Answer:

-14

Step-by-step explanation:

Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

This is an interesting question, since I have to think I have ever seen a question like this asked before.

    3x³ - 5x + k   i'll try dividing by x-2  and adjust k so there is no remainder

                           3x² + 6x + 7

       x-2   |  3x³ + 0x² - 5x + k

                 3x³ - 6x

                          6x² -  5x

                          6x² - 12x

                                   7x  + k

                                   7x  - 14

                                            0    remainder is 0 if k = - 14

when I graphed   3x³ - 5x -14   and   (x-2)(3x² +6x +7)  the graphs were equivalent

                       

The average of 20 numbers is 75. The number 86 was incorrectly read as 68 while calculations. Find the correct average

Answers

The answer is in the photo

Answer:

79.7

Step-by-step explanation:

average = 20x75=1440

wrong average68+86=154

correct average 1440+154/20=79.7

hope this is correct.

What is the area of the obtuse triangle below? 19 11 O A. 99 sq. units OB. 10 sq. units O C. 49.5 sq. units O D. 20.5 sq. units​

Answers

answer:

C.49.5sq. units

explanation:

Sana makatulong

Complete the tables to determine if the expressions are equivalent. If the expressions are equivalent, name the properties that make them equivalent.

Answers

Answer:

For both charts:

Top boxes: -12

Middle Boxes: -9

Bottom Boxes: -6

The equation is given by A = 3 ( x - 5 ) and B = 3x - 15 and they are equivalent

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

A = 3 ( x - 5 )  be equation (1)

Now , let the second equation be represented as B

Now , the value of B is

B = 3x - 15   be equation (2)

Now , on simplifying the equation (1) , we get

Substituting the value of x = 1 , 2 , 3 in equation (1) , we get

when x = 1

A = 3 ( 1 - 5 )

A = 3 ( -4 ) = -12

when x = 2

A = 3 ( 2 - 5 )

A = 3 ( -3 ) = -9

when x = 3

A = 3 ( 3 - 5 )

A = 3 ( -2 ) = -6

Now , on simplifying the equation (1) , we get

Substituting the value of x = 1 , 2 , 3 in equation (1) , we get

when x = 1

A = 3 ( 1 ) - 15

A = 3 - 15 = -12

when x = 2

A = 3 ( 2 ) - 15

A = 6 - 15 = -9

when x = 3

A = 3 ( 3 ) - 15  

A = 9 - 15 = -6

So , the values of the expressions are the same

Now , applying the distributive property on equation (1) , we get

A = 3 ( x - 5 )

A = 3x - 3 ( 5 )

A = 3x - 15 = B

Hence , the equations are equivalent

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Write an expression.. NO LINKS
NEED HELP ASAP!!!

Answers

Answer:

-10.50*3

=-31.5

the equation of the line of best fit of a scatter plot is y=7x - 9 what is the slope if the equation

-9
-7
7
9

Answers

Answer:

slope is 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

slope of equation = gradient of graph = coefficient of x = 7

Re-Write the quadratic function below in standard Form

y = 5(x+3)(x-4)

Answers

i believe it’s 8x? dndjdj did

How many possibilities are there for a license plate with all numbers?

Answers

Answer:

2,176,782,336

Step-by-step explanation:

56 POINTS
Step 1: Analyze the graph.

Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump.



⦁ What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)




⦁ What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)


Step 2: Solve for coefficient a.

⦁ What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)



⦁ Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)


















⦁ What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

Answers

Answer:

Step 1:

What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)

        0=a(4-24)^2+50

       -50=a(4-24)^2

        4-24

       -20^2=400

        -50=a(400)

       -50=400a

         -50/400=-0.125

         a = -0.125

B.) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.

Step 2: Solve for coefficient a.

a.) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

                                               f(x) = a(x-h)^2 +k

b.) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)

Not sure about this one...?

c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

f(x)=-12/25(x-25)^2+32

The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32

The key aspects of the graph

The graph that completes the question is added as an attachment

These are the vertex and the intercepts of the graph.

The intercepts tell us about when the time of flight and the time of landing, while the vertex tell about the maximum height of Danny's jump.

From the graph, we have:

Vertex = (25,32)x-intercepts = 15 and 35

The value of the coefficient a

A quadratic function is represented as:

y = a(x - h)^2 + k

Where:

vertex = (h,k)

So, we have:

y = a(x - 25)^2 + 32

Substitute the value of the x-intercept

0 = a(15 - 25)^2 + 32

Subtract 32 from both sides

a(15 - 25)^2 = -32

Solve for a

a = -0.32

Hence, the value of the coefficient a is -0.32

So, the equation in vertex form is y = -0.32(x - 25)^2 + 32

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Problem: Which expressions are equivalent to 2(x - 7)?
Answer:
Type equation here.


PLEASEE HURRY

Answers

Answer:2x-14. Explanation: distribute 2 to both terms

Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).

Answers

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

The rule of reflection over the y-axis is:

[tex](x,y) \to (-x,y)[/tex]

This means that:

[tex]g(x) =f(-x)[/tex]

Substitute -x for x in f(x)

[tex]f(-x) = 2(0.4)^{-x}[/tex]

Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

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