Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function?

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.
It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line.
It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line.
It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.

Answers

Answer 1

Answer:

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Step-by-step explanation:

(0,-3) goes on the straight line perfectly

(1, −1) goes on the straight line perfectly

(2, 1) goes on the straight line perfectly

this means that it is a linear function due to all the points being on the line

hope this helps!

Answer 2

The given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

How to solve this problem?

Given function y = 2x − 3.

Clearly, it is a straight line.

At x = 0, y = 2*0 - 3 = 0 - 3 = - 3

At x = 1, y = 2*1 - 3 = 2 - 3 = - 1

At x = 2, y = 2*2 - 3 = 4 - 3 = 1

So, the given straight line passes through the points (0, -3),  (1, -1), and (2, 1). Then the given function is a linear function.

Therefore, we can conclude that the given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line. So, the first option is correct.

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Related Questions

Find the slope of a line that goes through the points (5,-2) and (1,0).
A. 1/2 B. - 1/2 C. 2 D. -2

Answers

Answer:

B(-1/2)

Step-by-step explanation:

So remember, the slope is y2-y1/x2/x1. Note that y2 means the second y adn x2 means the second x.

So lets plug in our numbers for the top of our fraction, y2-y1. This is 0- - 2.

You should get postive 2, since -- equals a + so it would be 0+2 equaling 2.

This is your y value of your slope.

Next lets find the x value of the slope.

Lets plug in our numbers for the bottem raction this time, which is x2-x1. This is 1-5.

You should get negative 4, since 1-5 equals -4.

This is the x value of the slope.

Knowing your y and x value of the slope, we can tell that the slope will be:

2/-4

This can be simplyfied to -1/2. Since 2 goes into 2, 1 time(for y). Then 2 goes into -4, -2 times(for x). So now its 1/-2.

The negative sign can just be moved to the front since it is the only negative and does not change:

Answer:

-1/2

The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?

Answers

Answer:

Width: 13/2 ft.

Length: 12 ft.

Step-by-step explanation:

Let's assume the width is x

This means that the length is 2x-1, because it it one less than double the width.

The formula for the area of a rectangle is length*width, so

(2x-1)*x=78

Now let's solve for x

2x^2-x=78

2x^2-x-78=0

Use the quadratic formula

x=13/2 and x=-6

x cannot be negative, so we can rule out x=-6 and are left with x=13/2.

Substituting x back into our original assumptions, we now know that

The width is x=13/2 and

The length is 2x-1=2(13/2)-1=12

Final answer: The width is 13/2 ft. and the length is 12 ft.

find the median of the data 74,78,86,67,80, the mean is... the median is... find the modes of the data 67,74,77,78 or there is no mode​

Answers

The mean is: 77 | The median is: 78 | And there is No mode in the data set

Answer:

data set one (74, 78, 86, 67, 80):

the mean is 77.

The median is 78

data set two (67, 74, 77, 78):

there is no mode

Step-by-step explanation:

i hope this helped<33

Sally is building a fence. She needs 234 inches of fencing material. How many yards of fencing material does she need?

Answers

Answer:

6.5 yards

Step-by-step explanation:

1 yard = 36 inches

234/36 = 6.5

Which expression is a perfect cube?
224
m 28

Answers

Answer:

alan walker dead girl

Step-by-step explanation:

In triangle ABC, AC = 6, AB = 7, and BC = 5. Which is true?
A) The measure of Angle C is the greatest of the three angles.
B) The measure of Angle C is the least of the three angles.
C) The measure of Angle B is the least of the three angles.
D) The measure of Angle B is the greatest of the three angles.

Answers

the answer is A


hope this helps

Help pls............. Will choose brainliest

Answers

Answer:Its D enjoy =)

CAN ANYONE HELP ME ASAP AND THANKS:)

Answers

Answer:

true, true, false

Step-by-step explanation:

the sales do not decrease between week 4 and 5

Answer:

The answer is True, True, False

Step-by-step explanation:

For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.

For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.

For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.

Hope this helps!

If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST

Answers

Answer:

The answer is 40 Centimeters.

Step-by-step explanation:

This answer is correct since there are 4 rows of 10, creating the Rectangular prism.  i hope this helped!

What volume of 1M HCI would be needed
to neutralize 50mL of 1M Ca(OH)2?

Answers

Answer: 100

Step-by-step explanation: BRAINLIEST

giving brainliest!! *easy*

Answers

Surface area is 1256.64

What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?

Answers

Answer:

[tex]d = 1.2973\pi r^3[/tex]

Step-by-step explanation:

Given

[tex]R_1 = r[/tex]

[tex]R_2 = 0.3[/tex]

Required

The difference in their volumes

The volume of a sphere is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

So, the difference d is:

[tex]d = \frac{4}{3}\pi [R_1^3 - R_2^3][/tex]

[tex]d = \frac{4}{3}\pi [r^3 - (0.3r)^3][/tex]

[tex]d = \frac{4}{3}\pi [r^3 - 0.027r^3][/tex]

[tex]d = \frac{4}{3}\pi *0.973r^3[/tex]

[tex]d = \frac{3.892}{3}\pi r^3[/tex]

[tex]d = 1.2973\pi r^3[/tex]

Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere with radius(r) is,

Volume = (4/3)×π×r³

The volume of the sphere with radius (0.3r) is,

Volume = (4/3)×π×(0.3r)³

The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,

Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]

                  = (4/3)πr³[1-0.027]

                  = (4/3)πr³(0.973)

                  = 4.0757r³ unit³

Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.

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According to a candy company, packages of a certain candy contain 21% orange candies.
Find the approximate probability that the random sample of 500 candies will contain 22% or more orange candies.
Using a normal approximation, what is the probability that at least 22% of 500 randomly sampled candies will be orange?

Answers

Answer:

vvvvvvvvvvvvvvvvvvvvvvv v v v v

Mr. Jones has $410,000 in a retirement account that earns 3.85% simple interest each year. Find the amount of interest earned by this investment if it is in there for 5 years. *

Answers

Answer:

Amount of interest earned = $78,925

Step-by-step explanation:

Given:

Amount deposit = $410,000

Rate of interest = 3.85% = 0.0385

Number of year = 5 year

Find:

Amount of interest earned

Computation:

Using simple interest formula

Amount of interest earned = Amount deposit x Rate of interest  x Number of year

Amount of interest earned = 410,000 x 0.0385 x 5

Amount of interest earned = $78,925

nick is baking fudge. what is the minimum amount of plastic wrap needed to cover this piece of fudge?

Answers

Answer:

4 inches

Step-by-step explanation:

Answer:

where is the picture?

Step-by-step explanation:

My bird is sleeping a lot and she is panting for no reason she is also only closing one eye and is very itchy she also is not active like she always used to be. Does anyone know what is wrong with her and what ("TYPE") of Illness she has?

Answers

I recommend you take her to a vet

Which statements must be true to model a data set using a normal distribution?

The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample size, n, must be at least 30.
The population mean must be greater than the sample mean.

Answers

Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato

Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato/Edmentum

Find the volume..
Pleaseeeee helppp being timed

Answers

Answer:

The right answer is 125.6

Answer:

A. 502.4

Step-by-step explanation

RENAME 11/12 / 8/9 AS A MIXED NUMBER

Answers

Answer: 1(29)/(36)

Step-by-step explanation:

Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoons of salt. • Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?

Answers

Answer:

1 1/2 teaspoons!

Step-by-step explanation:

Answer:

1 1/2 teaspoons

Step-by-step explanation:

3/4 is to 1 1/8 as 1 is to x

converting 1 1/8 to an improper fraction gives:  

3/4 is to 9/8 as 1 is to x

  (3/4)/(9/8) = 1/x

cross multiply

(3/4)x = 9/8

multiply both sides by 4/3

x = (9/8)(4/3)

x = = 3/2 = 1 1/2

 

1 1/2 teaspoons of salt are needed

Swapna gathered data on the number of page views for each of her blog posts. For her 40 latest posts, she found a sample mean of 358 with a population standard deviation of 54.3. What is the approximate 95% confidence interval for her page views? HINT: It's not D.

A. 344 and 372
B. 356 and 360
C. 341 and 375
D. 336 and 380

Answers

Answer: for plato users

D. 341  and 375

Step-by-step explanation:

I just took the test

The approximate 95% confidence interval for Swapna's page views is [341, 375].

What is confidence interval?It is a range of values that's likely to include a population value with a certain degree of confidence. It is expressed as a percent (%) where a population mean lies between an upper and lower interval.A confidence interval is how much uncertainty is with any particular statistic.When it is a 95% confidence interval, it means a range of values that you can be 95% certain contains the true mean of the population.A confidence interval is obtained from the observed data that holds the actual value of the unknown parameter.Formula of confidence interval:

Confidence interval =  mean ± Z * (standard deviation/ √sample size)

For given question,

Sample size = 40

Sample mean = 358

Standard deviation = 54.3

Critical value at 95% confidence level= 1.96

Confidence interval = 358 ± 1.96 * (54.3/ √40)

                                  = [358 - 1.96 * (54.3/ √40) ,358 + 1.96 * (54.3/ √40)]

                                  = [341, 375] (approximately)

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I need them all in about five minutes, please help me no BS I’m giving you 50 points.

Answers

Answer: 1 is 5.7

2 is 21.75

3 is 8.8

Step-by-step explanation:

here ya go

which of the following is equivalent to 2:1​

Answers

Answer:

use m a t h w a y

Step-by-step explanation:

put it all together and they will give you opitions

Kurt is running for student senate. He designed the t-shirt logo for his campaign. The logo is made up of a square with 14 cm sides and four half circles. Use 3.14 for pi to approximate the area of the logo.

Answers

Answer:

......

Step-by-step explanation:

20 points! Please help

A population has a standard deviation of 7.89. What is the approximate standard error of the mean for a sample size of 300?

A.
0.026
B.
0.46
C.
17.32
D.
2.20

Answers

the answer is b because it is b

Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:

B. 0.46

What does the Central Limit Theorem State?

It states that the sampling distribution of sample means of size n from a population with standard deviation [tex]\sigma[/tex] has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have that the parameters are [tex]\sigma = 7.89, n = 300[/tex], hence the standard error is given by:

[tex]s = \frac{7.89}{\sqrt{300}} = 0.46[/tex]

Hence option B is correct.

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The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews totaling 12 grams.

A) How many calories do you consume

B) How many cashews are in one serving?

(PLEASE HELP)

Answers

Answer:

A) I consumed 69 calories.

B)  There are 21 cashews in one serving.

Step-by-step explanation:

Given that the nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams, and I eat 9 cashews totaling 12 grams, to determine how many calories do I consume and how many cashews are in one serving should be performed the following calculations:

A)

28 = 161

12 = X

12 x 161/28 = X

1932/28 = X

69 = X

So, I consumed 69 calories.

B)

12 = 9

28 = X

28 x 9/12 = X

252/12 = X

21 = X

Therefore, there are 21 cashews in one serving.

Emile went out for dinner and received a bill for $32.45. He left an 18% tip How much
did Emile pay for dinner including his tip?

Answers

Answer:

$38.29

Step-by-step explanation:

You toss a coin in the air and it lands on the table. What is the probability that it lands on heads? *​

Answers

0.5 would be the probability

Answer:

Hi! The answer to your question is D. 0.5

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

Brainliest is greatly appreciated!

Hope this helps!!!

Stay Safe!!!

- Brooklynn Deka

Find the Value when 2 is added to 11.​

Answers

Step-by-step explanation:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects

13 is the value when 2 is added to 11

The Jacksons pay a monthly mortgage payment of $938. They also pay a semi-annual property tax bill of $3,298 and an annual homeowner’s insurance of $840. The property tax and insurance are paid monthly into an escrow account to their lender. What is their monthly payment including all three bills? Round to the penny.

Answers

9514 1404 393

Answer:

  $1,557.67

Step-by-step explanation:

The monthly amount of the semi-annual tax bill is ...

  $3,298/6 = 549.67

The monthly amount of the annual insurance bill is ...

  $840/12 = $70

Then the total of the amount paid to the lender is ...

  $938 +549.67 +70 = $1,557.67 . . . monthly payment

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