Select the correct statement about the function represented by the table

Select The Correct Statement About The Function Represented By The Table

Answers

Answer 1

The correct statement about the function represented by the table will be option (D) It is linear function because the y-value increases by an equal difference over equal interval of x-values

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Given a table on which there are two column in which one column represents x values while other column represent the y values

We have to find whether the relationship between x value and y value is linear or exponential

From given table let,

y₁ = 34; y₂ = 41; y₃ = 48; y₄ = 55

x₁ = 1; x₂ = 2; x₃ = 3; x₄ = 4

If the relationship between the x value and y value is linear then the difference between two consecutive value of x value and y value would be equal

So y₂-y₁ = y₄-y₃ and x₂-x₁ = x₄-x₃

Putting the value we get difference of y value 7 and x value as 1 since it is same we can say that the relation ship between x value and y value is linear

Hence the correct statement about the function represented by the table will be option (D) It is linear function because the y-value increases by an equal difference over equal interval of x-values

Learn more about linear function here:

https://brainly.com/question/4025726

#SPJ10


Related Questions

What are the sides of ∠E?

Answers

Answer:

C. FE and ED

Step-by-step explanation:

The question is asking what are the sides of angle E. I've marked angle E along with its sides in the attached picture.

One side of the angle E has to be ED.

However we have multiple options for the other side. It can be called FE, CE or BE.

So the answers could be any of:

- ED and FE

- ED and CE

- ED and BE

The option that has one of the possible answers is option C: FE and ED.

1. Each side of a square barn is 9 meters long.
a. What is the barn's
perimeter?
b.
What is the barn's area?

Answers

Answer:

The area and the perimeter of the square barn which has each side 9 meters long is 81 m² and 36 m.

Step-by-step explanation:

Barn Perimeter is 36m and area is 81m

One week, Genesis earned $367.40 at her job when she worked for 22 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $584.50?

Answers

Answer:

Step-by-step explanation:

Givens

time = 22 hourswage = 367.40time2 = ?desired wage2 = 584.50

Comment

This is a proportion. A proportion is 2 equal ratios. If you know 3 parts of a proportion, you can solve for the 4th.

Equation

wage/time = wage2/time2                   Substitute values.

Solution

367.40 /22 = 584,50 /x                        Cross multiply

367.40x = 22 *584.50                          Simplify the right

367.40x = 12859                                   Divide both sides by 367.40

x = 12859/367.40

x = 35

Answer

Genesis will have to work 35 hours.

If the exchange rate when converting US Dollars to ZA rands is $1=R17
How much is Zar3400 in US DOLLARS

Answers

Answer:

200 US DOLLARS

Step-by-step explanation:

Given; $1=R17

To find: How much is Zar3400 in US DOLLARS

$1=R17

R3400=3400/17 US DOLLARS

=200 US DOLLARS

Hope my answer is right thank you.

Question 7 of 10
Which product is undefined?
A. CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix
B. NP, where N is a 2 x 1 matrix and Pis a 1 x 4 matrix
C. AB, where A is a 3 x 2 matrix and Bis a 3 x 1 matrix
D. HK, where H is a 3 x 3 matrix and K is a 3 x 1 matrix

Answers

The product that is  undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.

What is the matrix about?

Looking at the product of matrix, note that to multiply  the two matrix, the column of the first matrix needs to have the same or equal to the row of the 2nd matrix.

And in this case (propensity), it is not satisfied by the first  option because:

C =  3 x 1  and

O= 2 x 1  matrix

In this case CD is therefore undefined.

So we can say that The product that is  undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.

Learn more about matrix from

https://brainly.com/question/94574

#SPJ1

larry measures an object mass in grams which of the following object is he most likely measuring


A - A lemon

B - A car

C - A surfboard

D - A horse

Answers

If Larry is measuring the object's mass, the object he is most likely measuring is; D: A horse.

How to Measure Mass?

There are different units of measurement for different parameters such as meters for length, seconds for time, Amperes for current e.t.c.

Now, we are talking about measurement of an object mass in grams. This means it has to be a living thing and as such from the options, the only living thing is a horse.

Read more about Mass Measurement at; https://brainly.com/question/5493941

#SPJ1

what is the volume of a cone with a diameter of 16 centimeters and a height of 15 centimeters?

Answers

Answer:

The correct answer is 8cm.

Step-by-step explanation:

Vol. Of cone= 1/3pi r²h

= 1/3×3.14× 8²×15

= 8×8×5×3.14

64× 5×3.14

= 320×314/100

=16×314=5024 cm³

Hope this helps:) Goodluck!

Answer:

The correct answer is 8cm.

Step-by-step explanation:

Vol. Of cone= 1/3pi r²h

= 1/3×3.14× 8²×15

= 8×8×5×3.14

64× 5×3.14

= 320×314/100

=16×314=5024 cm³

Hope this helps:) Goodluck!

Find the slope of the line: x+4y+8=0

A) -4
B) 1/4
C) -1/4
D) 4

Answers

Answer:

C) -1/4

Step-by-step explanation:

respuesta .... es la opcion c

Each pepperoni slice is 78 of an inch long and costs $0.03. Exactly enough pepperoni slices are laid end to end to have a total length of 56 inches. What is the total cost of these pepperoni slices?

Answers

The total cost of these pepperoni slices is $1.92

What is the total cost of these pepperoni slices?

Each slice measures 7/8 of an inch. Here we have N slices, such that the measure of the N slices is 56 inches, then we have:

N*(7/8 in) = 56 in

Now we can find the value of N, the number of slices used:

N = (8/7)*56 = 64

And each slice costs $0.03, then the cost of the 64 slices is:

C = $0.03*64  = $1.92

The total cost of these pepperoni slices is $1.92

If you want to learn more about costs:

https://brainly.com/question/14315509

#SPJ1

can you guys help me with this question ​

Answers

The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it.  Looking at the problem statement, it asks for us to determine the area of the figure.  In return, we are given the radius of the circle along with the number to use for pi.

Now that we have gathered all of the important information, we can move onto the actual calculations of the problem.  Let us use the area of a circle formula to be able to capture the work.

Plug in the values

[tex]A_{circle}=radius^2*\pi[/tex][tex]A_{circle}=(14\ cm)^2*\frac{22}{7}[/tex]

Now that we have the expression ready we have several steps that need to be completed in order to have our area ready.  Let us start by expanding the exponent.

Expand the exponent

[tex]A_{circle}=(14)^2*(cm)^2*\frac{22}{7}[/tex][tex]A_{circle}=196*cm^2*\frac{22}{7}[/tex][tex]A_{circle}=196\ cm^2*\frac{22}{7}[/tex]

Multiply

[tex]A_{circle}=\frac{196\ cm^2\ *\ 22}{7}[/tex][tex]A_{circle}=\frac{4312\ cm^2}{7}[/tex]

Simplify the expression

[tex]A_{circle}=\frac{4312\ cm^2/7}{7/7}[/tex][tex]A_{circle}=\frac{616\ cm^2}{1}[/tex][tex]A_{circle}=616\ cm^2[/tex]

Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.

Answer:

616 square centimeters

Step-by-step explanation:

Area of a circle: πr²

Given:

π = ²²⁄₇r (radius) = 14 cm

Substitute the given values into the formula:

[tex]A=\dfrac{22}{7}\times(14)^2\\\\A= \dfrac{22}{7}\times \dfrac{196}{1}\\\\A= \dfrac{4312}{7}\\\\A = 616[/tex]

Therefore, the area of the circle is 616 cm².

Learn more about finding the area of a circle here:

brainly.com/question/27800382

brainly.com/question/13658549

If the discount is 40% and the sales price is $78, what is the original price

Answers

Answer:

the original price of the product is $109.20

Answer:

109.2

Step-by-step explanation:

First multiply: 78 × 40 = 3120

Then Divide by 100: 3120 ÷ 100 = 31.2

Then add 31.2 to the sales price: 78 + 31.2 = 109.2

Hi can you help me guys please

Answers

The height of the cylinder will be 5 units based on the information given.

How to calculate the height?

The cylinder has a volume of 45π cubic meters and the radius is 3 units.

The height will be calculated thus:

Volume of a cylinder = πr²h

45π = πr²h

45π = π(3²)h

45π = 9πh

h = 45π/9π

h = 5

Therefore, the height of the cylinder will be 5. units.

Learn more about volume on:

https://brainly.com/question/12410983

#SPJ1

A farmer has 324 feet of fencing to make three identical adjacent rectangular pens, as shown in the picture. What dimensions of each pen will maximize the total enclosed area?

Answers

The dimensions of each pen will maximize the total enclosed area are:  Length 81 feet; Width 81 feet.

Dimension of each pen

Length = x

Width = y

Area = xy

Perimeter equation is

2(x + y) = 324

  x + y = 162

Substituting the perimeter equation

Area = x(162 - x)

Area = -x2 + 162x

If the zeros of the quadratic are 0 and 162, then the median  will be where the maximum area occurs.

162/ 2

= 81

Hence, the dimensions are

Length = 81 feet

Width = 162 - 81 = 81 feet

Therefore the dimensions of each pen will maximize the total enclosed area are:  Length 81 feet; Width 81 feet.

Learn more about dimension here:https://brainly.com/question/26740257

#SPJ1

64^2 -7y+9 what is the answer

Answers

Answer:

y=586.4

Step-by-step explanation:

64^2= 64x64 = 4096

4096-7y+9=0

4105-7y=0    1. +7y on both sides

4105=7y       2. /7 on both sides

y=586.4

Find the length of Side BC.Round to the nearest tenth .

A.29 B.12 C.24 D.33

Answers

Subtract 58 from both sides
Step-by-step explanation:
93 = x + 58
Subtract 58 from both sides
93-58 =x+58-58
35 = x

1 . A rope was 14.35 inches long. Megean cut the rope into 7 pieces of equal length. What was the length of each piece of rope in inches
2. Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water. what was the number of pints of water Scott drank yesterday

Answers

Division is one of the four fundamental arithmetic operations. The number of pints of water Scott drank yesterday is 4.2 pints.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A rope was 14.35 inches long. Megean cut the rope into 7 pieces of equal length. Therefore, the length of each piece of rope in inches will be,

Length of piece = 14.35 inches/7 = 2.05 inches

Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water. Therefore, the number of pints of water Scott drank yesterday is,

Number of pints = 3.5 bottles × 1.2 pints = 4.2 pints

Hence, The number of pints of water Scott drank yesterday is 4.2 pints.

Learn more about Division:

https://brainly.com/question/369266

#SPJ1

Describe how you would The list below shows the ages of all the presidents inaugurated in the twentieth century. Make a stem-and-leaf plot to answer the question.

42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54

In a stem-and-leaf plot of the data, how many leaves does stem 5 have?show the number 4 and 89 on a stem-and-leaf plot.

Answers

The stem-and-leaf plots for both data set are shown in the attachment below.

Stem 5 would have 10 leaves.

How to Make a Stem-and-leaf Plot?

For example, if 23, 24, 25, 28 are data points in a data distribution, 2 would be represented as a stem while 3, 4, 5, 8 would be the leaf of the stem. The data would be represented on the stem-and-leaf plot as: 2 | 3, 4, 5, 8.

Given the data, 42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54, the stem-and-leaf plot is shown in the image attached below.

Stem 5 would have 10 leaves, as shown in the stem-and-leaf plot attached below.

The numbers 4 and 89 are represented on the second stem-and-leaf plot in the attachment below.

Learn more about stem-and-leaf plot on:

https://brainly.com/question/8649311

#SPJ1

Work out the circumference of this circle.
Give your answer in terms of pi.

Answers

Answer:

[tex]\huge\boxed{\sf C = 12\pi \ mm}[/tex]

Step-by-step explanation:

Given that:

Radius = r = 6 mm

Required:

Circumference = C = ?

Formula:

C = 2πr

Solution:

C = 2(π)(6 mm)

C = 12π mm

[tex]\rule[225]{225}{2}[/tex]

Answer:

12π mm

Step-by-step explanation:

Circumference of a circle is given by the formula :

2πr

where r is the radius

We substitute our radius value from the diagram to find our answer:

2×π×r = 2×π×6

12×π = 12π

Units will me mm since this is a length

This is our final answer since we are told to leave it in terms of pi.

Hope this helped and brainliest please

the gas tank in minas car holds 15 gallons. Her car gets between 25 and 30 miles to the gallon. If Mina fills up the gas tank and then drives until she runs out of gas, what is the least number of miles she can drive?
A. 300mi
B. 375mi
C. 405mi
D. 450mi

Answers

the lowest mileage rate is 25 miles per gallon.

Multiply 25 by 15 gallons

25 x 15 = 375 miles


Answer: B. 375 miles

Part F What is the mean absolute deviation for Doctor A’s data set on glasses? What is the mean absolute deviation for Doctor B’s data set on glasses? Write a sentence comparing the variation of the two data sets using their mean absolute deviations.
Doctor A Doctor B
Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts
745 643 102 763 651 112
726 634 92 736 625 111
769 670 99 735 622 113
765 658 107 759 624 135
756 636 120 748 631 117
742 624 118 756 621 135
757 641 116 765 653 112
748 655 93 761 647 114
770 649 121 768 646 122
738 629 109 761 646 115

Answers

There is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

The doctors' mean absolute deviation on glasses

The dataset of doctor A is given as:

643 634 670 658 636 624 641 655 649 629

The dataset of doctor B is given as:

651 625 622 624 631 621 653 647 646 646

Using a statistical calculator, we have:

Doctor A

Doctor A: Mean Absolute Deviation (MAD) = 11.28Doctor B: Mean Absolute Deviation (MAD) = 12

Hence, the mean absolute deviation is 11.28 for Doctor A’s and 12 for Doctor B’s data set on glasses

The variation of the two data

In a dataset, the larger the mean absolute deviations value, the larger the variation.

By comparison, 12 is greater than 11.28

Hence, there is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

Read more about mean absolute deviation at:

brainly.com/question/3250070

#SPJ1

I WILL GIVE BRAINLIEST here is a square

Answers

Answer:

135 degrees

Step-by-step explanation:

180-90=90/2=45

180-45=135

Hope this helped:)

The error term in a regression equation is said to exhibit homoskedasticty if _____. a. it has the same value for all values of the explanatory variable b. if the error term has a value of one given any value of the explanatory variable c. it has the same variance for all values of the explanatory variable d. it has zero conditional mean

Answers

The error term in a regression equation is said to exhibit homoscedasticity if  it has the same variance for all values of the explanatory variable.

What is Homoscedasticity?

This is a condition in which equal variance is assumed for different groups of data or variables.

The same variance will be observed in the variable in the error term of a regression equation hence option C was chosen.

Read more about Variance here https://brainly.com/question/9304306

A sack of pet food costs $15.50.if you buy two sacks the shop only charges $13.25 per sack.What is the percentage discount per sack when you buy two sacks? ​

Answers

The percentage discount per sack when you buy two sacks is 14.5%

How to determine the percentage discount?

The given parameters are:

Cost per sack = $15.50Discount cost = $13.25

The percentage discount is calculated as:

[tex]Percentage = \frac{Cost - Discount}{Cost} * 100\%[/tex]

This gives

[tex]Percentage = \frac{15.5 - 13.25}{15.5} * 100\%[/tex]

Evaluate

Percentage = 14.5%

Hence, the percentage discount per sack when you buy two sacks is 14.5%

Read more about discounts at:

https://brainly.com/question/7459025

#SPJ1

If f(x)=2 sin 3x+C, then the maximum value of f(x) is:
1)C
2) C+2
3) C+3
4) C+6

Answers

Answer:  C+2

Reason:

The largest sin(x) can get is 1, and the same goes for sin(3x).

Consequently, the largest 2sin(3x) can get is 2.

You can visually verify these claims by graphing each function with a tool like Desmos. Take note of the y coordinate of the highest points. See below.

Therefore, the largest f(x) = 2sin(3x)+C can get is 2+C or C+2

The value of p in the equation 2p - 3 = p + 2 Is ​

Answers

Answer:

p = 5

Step-by-step explanation:

Given equation:

2p - 3 = p+2

To Find:

Value of p

Soln:

2p - 3 = p + 2

Subtract p from both sides:

=>2p-3−p = p+2-p

=>p-3 = 2

Add 3 to both sides:

=>p−3+3 = 2+3

=>p = 5

Hence,the value of p would be 5.

We can plug the value we got to the original equation to verify:

=> 2p - 3 = p + 2

p = 5

=> 2(5) -3 = 5 + 2

[Make sure to simplify using PEMDAS]

=> 10 - 3 = 7

=> 7 = 7 [Proved]

Hence,this equation is true.

[tex]\rule{225pt}{2pt}[/tex]

Acronym PEMDAS rule means:

P:ParenthesesE:ExponentsM:MultiplicationD:DivisionA:AdditionS:Subtraction

Answer:

p = 5

Step-by-step explanation:

First we add 3 to both sides to make :

2p = p + 5

Now we subtract p from both sides :

p = 5

Hope this helped and brainliest please

help me help me help me help me ​

Answers

Answer:

1. 4/12, 3/9, 2/6, 5/15

2. 4/8, 8/16, 6/12

3. 2/8, 4/16, 3/12

4. 6/8, 9/12, 4/16

Step-by-step explanation:

I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.

1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.

To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.

Step 1: reduce answer choices

6/16 = 3/8 (done by dividing both terms by 2)

4/10 = 2/5 (divide both by 2)

3/8 = 3/8 (fully reduced)

2/5 = 2/5 (fully reduced)

4/12 = 1/3 (divide both by 4)

5/10 = 1/2 (divide both by 5)

1/2 = 1/2 (fully reduced)

3/9 = 1/3 (divide both by 3)

2/6 = 1/3 (divide both by 2)

5/15 = 1/3 (divide both by 5)

3/8 = 3/8 (fully reduced)

3/4 = 3/4 (fully reduced)

2. This question is solved the same way as question 1.

Step 1: reduce answer choices

2/5 = 2/5

6/9 = 2/3

4/8 = 1/2

3/9 = 1/3

8/16 = 1/2

8/10 = 4/5

7/12 = 7/12

6/12 = 1/2

3. This question is solved the same way as questions 1 and 2.

Step 1: reduce answer choices

3/8 = 3/8

2/8 = 1/4

4/9 = 4/9

2/7 = 2/7

4/16 = 1/4

10/14 = 5/7

6/9 = 2/3

3/12 = 1/4

4. This question is solved the same way as questions 1, 2, and 3.

Step 1: reduce answer choices

6/8 = 3/4

4/9 = 4/9

4/6 = 2/3

9/12 = 3/4

10/12 = 5/6

6/9 = 2/3

12/16 = 3/4

7/9 =7/9

A racehorse weighs 490 kilograms. How much does it weigh in grams?

Answers

Answer:

490,000 grams

Step-by-step explanation:

To convert from kilograms to grams - multiply the number of kilograms by 1000. (there are 1000 grams in a kilogram)

[tex]490 * 1000 = 490,000[/tex]

Answer:

490000

Step-by-step explanation:

1 kg : 1000 gram

So,

490 kilograms : 490 ×1000 grams

: 490000 grams

the monthly salary of a married couple is rs 405000plua a festival expenses of 30000calculate the income tax paid by the couple in a year​

Answers

The income tax for the married couples under filing a joint return receives a standard deduction of $25,100.

What is an income tax?

An income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction.

In this case, the income tax for the married couples filing a joint return receives a standard deduction of $25,100

Learn more about tax on:

https://brainly.com/question/25783927

#SPJ1

Hey, I need help! ASAP.

Answers

The measure of <YXP and <YZQ are 35 and 65 degrees respectively

Equilateral triangles

Equilateral triangles are triangles that has equal sides and angles.

From the given diagram;

<YZQ + 90 + 25 = 180

<YZQ =180 -115

<YZQ = 65degrees

Determine the measure of <YXP

<YXP = 60 - 25 (XYZ is a 60degrees triangle)

<YXP = 35 degrees

Hence the measure of <YXP and <YZQ are 35 and 65 degrees respectively

Learn more on angles here: https://brainly.com/question/25716982

#SPJ1

Write the expression 5x(x + 9) − 7(x + 9) in complete factored form.
A.
(x + 9)(x + 9)
B.
(5x − 7)(x + 9)
C.
(5x − 7)(x + 9)(x + 9)
D.
(5x2 + 45x)(-7x − 63)

Answers

B. (5x-7)(x+9)
This method of factoring is grouping. You could take (x+9) out of both the 5x and the -7, and the next step is putting the 5x -7 in its own set of parentheses.
Other Questions
What is the measure of USQ Which graph represents f(x)= | x+3| did I solve this problem right? Write down the first three and last two terms of the binomial expansion of:a) (3x+(2/x))^15b) (2x-(3/x))^20 Give three reasons why chordates are different from all other animals? Which aspects of English culture were affected by Norman rule?Check all that are true.architecturereligiongovernmentlanguagesocial structure Y 5 What is the equation of the graphed line written in standard form? 4 3 2 1 O 2x + 3y = -6 O 2x + 3y = 6 O y=-{x-2 O y=x-2 5-4-3-2 12 1 2 3 4 5 x 2 -3 Short essay: Write a paragraph on a time that people can remember when they had to advocate for someone else or a group of people or even for themself, explain the situation and the outcome of it, It does not have to be related to only your disability, even though it can be for anything else in life. Just share one experience.Answers for this question 22+6[(14-5)3(17-14)]I got 76 and every calculator I use says 76 but in the back of the book it says the answer is 28. Am I missing something or could it be a typo? My work: 22+6[(14-5)3(17-14)]22+6[(9)3(3)]22+6 [(3)(3)]22+6(9)22+54 = 76 A runner runs a distance of 350 metres in a time of 50 seconds. What is his average speed? Can someone help me answer this 1/4 of the players on every team are girls. Write 3 fractions equivalent to 1/4 After mitosis each identical daughter cell has a complete set of:. Esther is constructing a table of values that satisfies the definition of a function f(x).x -10 17 8 -4 0 23 f(x) -12 -7 -7 0 3 8 10Which number can be placed in the empty cell so that the table of values defines a function?A.-10B.-12C.8D.17 Magda is the CEO of a home electronics corporation. She wants to provide benefits for her employees but would still like to control the company's costs. Salena, the head of the HR department, suggests implementing a cafeteria-style plan. What would be the most likely benefit of Magda doing so Look at the dot plots below. Compare the shapes of the distributions of the results from the two experiments. What are reciprocal roles? which of the following professions in photography require you to remain focused and take the right picture at the right time, because there are no retakes? nich2. What quantity should be added to both sides ofthis equation to complete the square?x - 8x = 5 Maria is developing an online gaming website. She is working on an interactive game that has a central character guiding visitors through the game. Which element of multimedia is most suitable for this type of website?