The data in the table can be modeled using an exponential function.

x −1 0 1 2 3
y 2 5 12.5 31.25 78.125
Based on the table, which function represents the same relationship?


f(x)=2.5x

f(x)=2⋅0.4x

f(x)=5⋅2.5x

f(x)=5⋅0.4x

Answers

Answer 1

Answer:

f(x)=5⋅2.5^x

Step-by-step explanation:

Simple really, all you have to do is plug it in.

5·2.5 ^(-1)

Once you plug it in, solve it! This part you can do on a calculator, or you could always solve it out.  

The answer is 2. So that one was correct because 5⋅2.5^(-1) = 2 like the graph says, -1x = 2y. You still have to make sure that it is correct all the way through. So, just plug in the x value in the (x) spot.

The x values are:

-1, 0, 1, 2, and 3

The y values (which are the answers) are:

2, 5, 12.5, 31.25, and 78.125.

Every time you plug in the numbers, make sure you place them in the right spot. For instance, 5⋅2.5^x is the equation; all you have to do is put the x values in the x spot to get the answer.

The next value 5⋅2.5^(0) equals to 5. If the answers come out the same as the graph; it means its correct.

The other answers are NOT correct because the answer is not the same as the y values.

I want to make this as simple as possible so let me break it down. F(x) is just telling you to plug the equation in. The graph is telling you what numbers to plug in and what the answer should be. The x value is going to be the number you plug in. You just need to put it in the (x) spot (where ever it says (x) that's where you need to plug it in.) The y value is what your answer should be, if it is not your answer, that means it's not correct. An easy way to get the answers is by going through the answer choses and plugging them in as that. So what I did was take the equation f(x)=5⋅2.5^x and plug it in as that. Yes, I did go through all the other ones like f(x)= 2.5^x, but it was way easier to do. Just make sure you check through them all, so you don't mess up.

Answer 2

The equation that represents the table will be y = 5(2.5)ˣ. Then the correct option is C.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as,

y = a(b)ˣ

At x = 0, the value of 'y' is 5. Then we have

5 = a(b)⁰

a = 5

At x = 1, the value of 'y' is 12.5. Then we have

12.5 = 5(b)¹

b = 12.5 / 5

b = 2.5

Thus, the equation that represents the table will be y = 5(2.5)ˣ. Then the correct option is C.

More about the exponent link is given below.

https://brainly.com/question/5497425

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Related Questions

Help pwease! Hope y’all are having a great day :)

Answers

Answer:

it don't make sence where is the table

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

F. The mode of the data for Store 2 is greater than the mode of the data for Store 1

Step-by-step explanation:

The mode for Store 2 = 2 (2 appears most)

The mode for Store 1 = 1 (1 appears most)

Therefore, mode of the data for Store 2 is greater than mode of the data for Store 1

Statement F is supported by the information in the dot plots.

In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. The calculated value for the test statistic equals

Answers

Answer:

The test statistic for Business College is -0.9944

The test statistic for Liberal Arts College is 1.1483

The test statistic for Education College is 0

Step-by-step explanation:

The percentage of ABC University college students in

Business College = 35%

Liberal Arts College = 35%

Education College = 30%

The number of students in the sample = 300 students

In the sample, the number of students in;

Business College = 90

Liberal Arts College = 120

Education College = 90

Therefore;

The percentage of Business College students = 90/300 × 100 = 30%

The percentage of Liberal Arts College,  = 120/300 × 100 = 40%

The percentage of Education College, [tex]\hat p[/tex] = 90/300 × 100 = 30%

The test statistic for the difference in two proportions is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]

Where;

[tex]\hat p[/tex] = The sample proportion

p = The population proportion

q = 1 - p

n = The sample size

The test statistic for Business College is;

[tex]z=\dfrac{0.3-0.35}{\sqrt{\dfrac{0.35 \times 0.65}{90}}} \approx -0.9944[/tex]

The test statistic for Liberal Arts College is;

[tex]z=\dfrac{0.4-0.35}{\sqrt{\dfrac{0.35 \times 0.65}{120}}} \approx 1.1483[/tex]

The test statistic for Education College is;

[tex]z=\dfrac{0.3-0.3}{\sqrt{\dfrac{0.3 \times 0.70}{120}}} \approx 0[/tex]

Answer:

Using the Chi-Square test we find test statistic equals 4.29

Step-by-step explanation:

Start by calculating the expected value:

35% Business College = 0.35 x 300 = 105

35% Liberal Arts College = 0.35 x 300 = 105

30% Education College = 0.3 x 300 = 90

Use the Chi-Square Test:

Calculate the measures of spread for Mrs. Hampton’s class data. Justify your response by describing the process used to find each measure. (10 points)
Can you please help.
I'm kinda dum.b and I don't really understand whats going on. Please don't answer just for points.

Answers

Answer:

Step-by-step explanation: Dot plot for movies seen by a students in a month

To Find : measures of spread

Solution:

Movies frequency cumulative frequency

0 1 1

1 0 1

2 0 1

3 0 1

4 3 4

5 8 12

6 3 15

7 1 16

8 5 21

9 2 23

10 3 26

Range = 10 - 0 = 10

Q2 = (6 + 6)/2 = 6 (13th + 14t)/2

Q1 = 5 7th

Q3 = 8 20th

IQR = Q3 - Q1

= 8 - 5

= 3

The greatest common factor of each term in the expression 20 x minus 16 x y is 4x. Which choice shows the expression written as a product?

Answers

Answer:

20x-16xy=4x

Step-by-step explanation:

Write an equation of the line in slope-intercept form

Answers

y=-5/2x-1

hope this helps

The area of a rectangular field is 8160 m²
If the length of the field is 96 m, what is its width?
HELP ASAP

Answers

Answer:

85m

Step-by-step explanation:

Area= length*width

solve for W

divide area by 96

8160/96= 85

Answer:

Width = 85 m

Step-by-step explanation:

Fomula for area = l·w

96·x = 8160

8160÷96 = 85

PLZZ HURRYYYY ENEQUALITIES HELLLLLLPPPPPPP MEEEEE PLZZZZZZZZZ

Answers

Answer: x>5

Step-by-step explanation:

14-3x<-1

-3x<-15

3x>15

x>5

You manage a warehouse and need to replace a forklift.
Alocal retailer sells the model you want for $1,299 plus a
6% sales tax. A store located just over the state line sells
the same model for $1,359 plus a 4% sales tax.

Answers

Answer:

If youre trying to see which is cheaper, the local forklift would cost $1376.94 after tax. The other forklift would cost $1413.36.

Step-by-step explanation: Hope that helped

The cost after the sale will be $1376.94 and $1413.36.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

You manage a warehouse and need to replace a forklift.

A local retailer sells the model you want for $1,299 plus a 6% sales tax. Then the cost after the sale will be

⇒ (1 + 0.06) x 1299

⇒ $1376.94

A store located just over the state line sells the same model for $1,359 plus a 4% sales tax. Then the cost after the sale will be

⇒ (1 + 0.04) x 1359

⇒ $1413.36

Your question was incomplete, probably the question was ...

What is the cost after the sale?

More about the percentage link is given below.

https://brainly.com/question/8011401

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Consider the triangles shown.

Which variable represents the length of an adjacent leg for a 40° angle?

A.c

B.x

C.y

D.z

Answers

The answer would be C

A right triangle has a leg of 15 feet and a second leg of 24 feet. Find the length of the hypotenuse
to the nearest hundredth of a foot.

Answers

Answer:

9

Step-by-step explanation:

-

Please help, find the surface area and lateral area.

Answers

Answer:

1,764

Step-by-step explanation:

first you 6x7 then 3x4x3.5 then add the products together

p.s. your welcome

HELP PLEASEEE I NEED IT

Answers

Answer:

See explanation

Step-by-step explanation:

1st photo:

(a) MKL ~ MLJ ~ LKJ

basically, you have to match the corners to each other (i dont have a better way of explaining this sorry)

(b) KL/KJ = KM/LK   AND    LJ/MJ = KJ/JL

match sides to each other

2nd photo:

(a) d = 7[tex]\sqrt{2}[/tex]

you have to use special right triangle rules for a 45-45-90 triangle

(b) a = [tex]\frac{4\sqrt{3} }{3}[/tex]

you have to use special right triangle rules for a 30-60-90 triangle

3rd photo:

x = 38.9°

[tex]cos^{-1}[/tex](7/9) = 38.9°

Can anyone help me please?
I’ll mark you as a brainliest

Answers

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is C because if you multiply each number on the left by 250 and then add 500, you will get the number on the right.

4 x 250 = 1000 + 500 = 1500

8 x 250 = 2000 + 500 = 2500

10 x 250 = 2500 + 500 = 3000

13 x 250 = 3250 + 500 = 3750

What is the minimum value of the function y = 5|2x - 24| + 30

Answers

Answer:

I think 5(∣2(x−12)∣+6)

Step-by-step explanation:

5|2x - 24| + 30

5∣2(x−12)∣+30

5(∣2(x−12)∣+6)

alisia goes to the gym every 3 days. Luis goes the the gym every 4 days. They are both at the gym on the 12th day. When will be the next day they are both at the gym?

Answers

Whocheoxehxhwok ex xoebxowbxoeoxekekevexwkbxlwbxwlbxkwbxkwvwivxisbsvwibwkxbkwvwviwvx

Whats -20x 50???????f

Answers

Answer:

-1000

Step-by-step explanation:

Since there's a negative in the equation, the answer is also a negative. This is also like 20 x 50, but you have to put a negative at the back.

Answer:

-1,000

Step-by-step explanation:

Can someone help me with this question.

Answers

We will set each parentheses equal to 0
x - 4 = 0
x = 4
-5x + 1 = 0
x = 1/5
The lesser value will be 1/5
The greater value will be 4

Help ASAP 15 Points
No spam answers please

Answers

No it is not a right triangle
Not really sure what the second part is asking but maybe 5=7=9

What’s the value of x?

Answers

Answer:

uhh

Step-by-step explanation:

i no get this

Write an equivalent ratio for 5 apples for
$2.25

Answers

Answer:

10 apples for $4.50

Step-by-step explanation:

you can just multiply both by 2

so 10 apples for $4.50

What is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8?

Answers

Answer:

now first of all we should plug in 0.8 to y .

now we have this simple equation: 4x+8.(0.8)=40

4x+6.4=40

4x=33.6

x=8.4  (hope it helps :) )

Step-by-step explanation:

Answer:

[tex]4x + 8y = 40 \\ 4x + 6.4 = 40 \\ 4x = 40 - 6.4 \\ 4x = 33.6 \\ x = 8.4[/tex]

39.- En la siguiente figura calcula el valor de "x" y "y".
Ав" CD
6o°
Az
18x-2y
9x+y
A) X = 5, y = 15
B) x = 15, y = 5
C) x = 30, y = 60
D) x = 60, y = 30​

Answers

Answer:

A) X = 5, y = 15

Step-by-step explanation:

De la figura:

∠EHD = ∠EGB (los ángulos correspondientes son iguales). Por lo tanto;

18x-2y = 60 (1)

Además, ∠CHF = ∠EHD (los ángulos opuestos serticales son iguales). Por eso;

18x-2y = 9x + y

18x-9x-2y-y = 0

9x-3y = 0 (2)

Para resolver x e y, resolvemos la ecuación (1) y (2) simultáneamente.

Multiplique la ecuación (2) por 2 y reste de la ecuación (1):

4 años = 60

y = 15

Pon y = 15 en la ecuación (2):

9x-3 (15) = 0

9x-45 = 0

9x = 45

x = 5

Which equations have 8 as a solution?
11−t=3
t+6=15
5t=40
64÷t=8

Answers

Answer:

64/t = 8

Step-by-step explanation:

If the answer is eight, then t + 8. Because 64/8 = 8.

Two supplementary angles have measures that are in the ratio of 1 to 3. Find the measure of the smaller angle.

44°

22.5°

45°

90°

Answers

Two angles are said to be supplementary when they add up to 180 degrees.
180/4=45
45•3=135
1:3=45:135

Smaller angle is 45 degree

For which value of x is the row in the table of values the incorrect? The function is quadric function y=5x^2

A. x=5
B. x=0
C. x=3
D. x=2

Answers

Answer:

x = 2

Step-by-step explanation:

Substitute x = 2 into y = 5x² , that is

y = 5(2)² = 5(4) = 20 ≠ 10

Thus (x, y ) = (2, 20 ) and not (2, 10 )

Retail price: $745; discount rate: 12.5% what is the discount?

Answers

Answer:

mmmmmmmm

Step-by-step explanation:

the answer ................

Brother’s Burgers claim to make the best ½ pound burgers in all of Florida.
The hamburger patties are ½ pound before they put them on the grill. When they come off the grill, they are 1/3 pound. What is the change of percent in weight?
I like a lot of toppings on my Brother’s Burger, and after I get done, the total weight of my hamburger, bun, and toppings is 5/8 pound. What is the percent change from cooked weight to final weight?
What is the percent change from pre-cooked weight to final weight?

Answers

Answer:

new = 1/3  old = 1/2

new - old = 1/3 - 1/2 = 2/6 - 3/6 = -1/6

dividing by the old:  -1/6 divided by 1/2 = -1/6 * 2/1 = -1/3

multiplying by 100% :  -100/3 = -33 and 1/3 %

 It is a 33 and 1/3 % DECREASE

Step-by-step explanation:

"Although Jhon was alive once more that doesn't mean that he was happy. he had fun with his dead mom and a gas truck. " which book is this from
harry poter
emile and the pengins
bob the builder
my wii is broke I need help
all and the panda of fireeeeeeee
cred we pop
can I see ur pe pe
thanks bro
also jk plz don't
Ngithanda iglu kuyinto enhle enamathelayo ngiyabonga bantu

Answers

Answer:

um i think all the panda of fireeeeeeee

Step-by-step explanation:

:D

After you write it out & cancel, what will be "leftover" in the numerator? EXPLAIN HOW YOU KNOW.

x⁴y³
________
x³y⁴

Answers

Answer:

x

Step-by-step explanation:

When writing out an canceling variable/exponents within a fraction, you always subtract the top and bottom. So...

[tex]\frac{x^{4}y^{3}}{x^{3}y^{4}}[/tex]

When you subtract, you always put the leftover variable in the spot that had the highest valued exponent.

So the equation simplifies to [tex]\frac{x}{y}[/tex]

x, is on top so it is the numerator.

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