Write the rule that defines the function represented by the table

Write The Rule That Defines The Function Represented By The Table

Answers

Answer 1

Answer:

y = 2 * 4^x

Step-by-step explanation:

We could define a wide variety of rules!

It turns out that any set of n (x, y) pairs can be modeled by a singular polynomial of degree (n-1) or less, and by infinitely many polynomials of degree n or more! And we're only talking polynomials!

Let's input it into a polynomial interpolation calculator:

[tex](27 x^4)/4 - (63 x^3)/2 + (225 x^2)/4 - (51 x)/2 + 2[/tex]

Well I don't love this.

Let's try to actually look for patterns. We see that the function is rapidly increasing. More and more, actually. Let's look for the ratios of each next y

8/2 = 4

32/8 = 4

128/32 = 4

512/128 = 4

BINGO!

So we can define the rule as:

y = 2 * 4^x


Related Questions

The radius of a circle is 15 cm, what is the area of this circle?

Answers

Answer:

706.86

Step-by-step explanation:

have a good day! :D

it's all on the picture ​

Answers

Answer:

y = 54

Step-by-step explanation:

45 = y - 9

 +9     +9

54 = y

y= 54            

In Figure 3, F k is equal in magnitude but opposite in direction to the kinetic force of friction.


TrueFalse


no random links to random files pls!!!

Answers

Answer:

True

Step-by-step explanation:

The answer is true!!!!!!!!

A teacher takes her nephew shopping. She tells her nephew that they can spend x dollars knowing

that 16x = 641.6.

What operation does the nephew need to use to find how much money they can​ spend?

Choose the correct answer below:

A.Addition


B. Division


C. Multiplication


D. Subtraction

Answers

Answer:

division

Step-by-step explanation:

division so as to find the value of x

Pythagorean Theorem
Riley owns an orchard that has a rectangular fence. The orchard is 36 yards long and 18
yards wide. If she walks across the diagonal length of the orchard, how much distance
would she cover?

Answers

Answer:

40.25 yds to the the nearest 100th

Step-by-step explanation:

The diagonal forms a right triangle with the length and width.

The diagonal is the hypotenuse

So, let d = the diagonal distance

[tex]d^{2}[/tex] = [tex]18^{2} + 36^{2}[/tex]

   = 324 + 1296

   = 1620

d =  [tex]\sqrt{1620}[/tex] = 40.25 yds to the the nearest 100th

Need help need help

Answers

Para comer um pouco

I need so much help ☹️

Answers

Answer:

666mm

Step-by-step explanation:

A= 1/2 Base x Height .    For triangle

A= 1/2 (10)(12)

A=1/2 (120)

A=60 .        One triangle is 60, so 2 triangles are 120 mm

Rectangle

A= BxH

A=(14)(13)

A=182mm              But since there are 3 triangles you multiply 182 times 3

(182x3)+120

=666

Area of the figure is 666mm

What is the image of (-5,-6) after a reflection over the line y=−x?

Answers

Answer:

The image will be the point (6,5)

Step-by-step explanation:

Here, we want to get the image of the point (-5,-6) after the reflection

Mathematically if we reflected a point with the pre-image coordinates (x,y) over the line y = -x; its image becomes (-y, -x)

So, (-5,-6) becomes (6,5)

Problem 1. Find the total volume of both shapes. (add)
Radius 2 in
Height
6 in
Height 2 in
Length 4 in Width 1 in
HELP PLEASE

Answers

Answer:36 inches^3

Step-by-step explanation:don't know how to explain it

is 2/10 equivalent to 20/100

Answers

Answer:

Yes it is

Step-by-step explanation:

You know it is equal because 2/10 is equal to .20 or .2

Answer:

I’m sure they are both equivalent to 1/5

Step-by-step explanation:

Please Help ASAP 20pts
A triangle has an area of 40 cm². The base and height are scaled by a factor of 4. The area of the resulting triangle is ___ square cm.

Answers

Answer:

640 cm ^2

Step-by-step explanation:

40x4x4 = 640

let's say b = 20 and h = 4

1/2(20)(4) = 40

scale by 4

b= 80 h = 16

1/2(80)(16) = 640

Which of the following is the graph of y = -(x-2)^3
-5?

Answers

can’t see the other graphs but C or D, the one most similar to A

Sofia's batting average is 0.022 higher than Joud's batting average. Joud has a batting average of 0.169.

Answers

Answer:

0.191

Step-by-step:

0.022 + 0.169 = 0.191.

Order the numbers from least to greatest.
23% , 1/4 , 0.225 .

Answers

0.225, 23%, 1/4


Step my step

23% = 0.23
1/4 = 0.25

. Visually compare the dot plot of heights of field hockey players to the dot plots for softball and basketball players. Shape: Center: Spread:

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Using visual comparison :

SHAPE :

Both plots are fairly left skewed as their peaks are more shifted to the right and tails to the left of the distribution.

The centre :

Both softball and basketball plots are centered around the median of the distribution. With softball having a centre (median value) of 5'4'' and basketball has a value of 5'8''.

Spread :

The softball plot spread from 4'9'' through 5'6''

While basketball spreads from 5'2'' through 6'0''

A ______ is a comparison of two quantities. ratios can be a part-to-part,part-to- _______, or whole -to- __________ comparisons. ratios can be written with the word _____, with a _______, or as a ___________.​

Answers

Answer:

ratio

part-to-whole

whole-to-whole

with the word to

with a colon

or as a fraction

Step-by-step explanation:

You and your friends are going to the annual Boatnik Fair to play games and ride the rides. You are going there with $20, which is unfortunately not enough for a wristband. If every carnival-style game costs $3, and every ride costs $2, how many rides can you go on if you want to play 4 carnival games? What about if you play just 2 carnival games?

Answers

4 rides first answer
7 rides second

Help me out, math is irritating

Answers

Answer:

67958.93228

Step-by-step explanation:

The volume of a cylinder is 980 in cubed.
The height of the cylinder is 20 in. What is the radius of the cylinder?
Express your answer to the nearest hundredth.​

Answers

9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.

can someone please help me with this question?

Answers

Answer:

30 in^3

Step-by-step explanation:

Radius = 1/2 D; 2/2 = 1

(3)(1^2)(10) = 30

PLS HELP I WILL MARK BRAINLIEST!!


You want to take some of your friends to see a movie Movie tickets cost $9 at the local theatre. You will purchase a bucket of popcorn for $7.50. How many friends can you take if you spend at most $79.50. Write the inequality and solve it.​

Answers

Answer: 8 friends

Step-by-step explanation: 79.5-7.50 72

72/9 8

Order these numbers from least to greatest.
1.401, 1.2011, 1.2, 1.41

Answers

Answer:

From least to greatest, the correct order is 1.2, 1.2011, 1.401, and 1.41.

Step-by-step explanation:

The correct order is 1.2 , 1.2011 , 1.401 , 1.41

an article bought a television for 2500 dollars and sold for 2325dollars find a.loss b.loss%​

Answers

Answer:

Loss= $175

Loss %= 7%

Step-by-step explanation:

First of all, you find the difference between 2500 and 2325 which is 175, as his has decreased, it is a loss of $175

To find the percentage you do the difference over the original amount

So 175/2500 which will give you 0.07

0.07 x 100 will give you 7%

Mathhhhhhhhhhh which one is correct

Answers

Answer:

slope = 4

y intercept = -3

Step-by-step explanation:

The equation is put in slope intercept form

Slope intercept form: y = mx + b

where m = slope and b = y intercept

looking at slope intercept form

4 is located where m should be , meaning that the slope is equal to 4 and

-3 is located where b should be , meaning that the y intercept is -3

Therefore the answers are the first and last option choices.

Maya babysits for $8 per hour. She also works at her family’s restaurant for $10 per hour. She is only allowed to work for a total of up to 16 hours each week. She wants to make at least $130 each week. This can be modeled by the graph.

Which of the following are possible combinations of work hours? Select all that apply.

0 hours babysitting; 13 hours at the restaurant
1 hour babysitting; 14 hours at the restaurant
20 hours babysitting; 10 hours at the restaurant
5 hours babysitting; 6 hours at the restaurant
14 hours babysitting; 1 hour at the restaurant

Answers

1 hour baby sitting 14 at the restaurant

Answer:

1 hour babysitting and 14 restaurant

Gale owns a car that is worth $9,500 but she still owes $7,400 on the car loan. She has a student loan in the amount of $6,000 and she has a savings account with a balance of $1500. The balance on her credit card is $3200. What is her net worth?

Answers

Answer:

$8000

Step-by-step explanation:  

Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.  

Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.  

To find: Gale's net worth  

Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.

Firstly, calculate the total amount of assets by adding them together;  

Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =  

$9,500 + $7,400 + $6,000 + $3200 =$26,100

Secondly, calculate the Liabilities by adding them together;  

Car loan + Student loan =  

$7,400 + $6,000 = $13,400

Then, calculate the Intangible Assets by adding them together;  

Savings account +  The balance on her credit card =  

$1500 + $3200 = $4700

Finally, subtract the total amounts;  

$26,100 - $13,400 - $4700 = $8000

 

(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)

Guys pls help me!!!!!!

Answers

The y-intercept is 4.

The line crosses (“intercepts”) the y-axis when x = 0. If x = 0 in the equation, then y = 4.

Help me with this question​

Answers

Answer:

B is the answer

Step-by-step explanation:

Is that all the questions you need help with

To the nearest hundreth, what is the length of line segment AB?
1.) 2.45

2.) 2.16

3.) 7.75

4.) 8.25​

Answers

Answer:

option (4)

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)

AB = [tex]\sqrt{(-6-2)^2+(4-2)^2}[/tex]

      = [tex]\sqrt{(-8)^2+2^2}[/tex]

      = [tex]\sqrt{64+4}[/tex]

      = [tex]\sqrt{68}[/tex]

       ≈ 8.25 ( to 2 dec. places )

The answer is BBB Bb

What is a number that when
you add 5 to it and then multiply
the sum by 3 will equal 27?

Answers

Answer:

4

Step-by-step explanation:

4

27 divided by 3 is 9 then take away by 5 which is 4
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