Which equation best describes the
relationship between the corresponding
values of x and y shown in the table?
х
у
-1
-2
O
3
1
5
3
9
A y = x + 1
B y = 2x - 3
C y = 2x + 3
D y = 3x + 5

Answers

Answer 1

Note: The first point of the table should be (-2,-1) instead of (-1,-2). because (-1,-2) does not satisfy the relation.

Given:

Consider the table of values is

x      y

-2     -1

0     3

1      5

3     9

To find:

The equation that best describes the  relationship between the corresponding values of x and y.

Solution:

Consider any two points from the given table, i.e., (0,3) amd (1,5).

So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{5-3}{1-0}(x-0)[/tex]

[tex]y-3=\dfrac{2}{1}(x)[/tex]

[tex]y-3=2x[/tex]

Adding 3 on both sides, we get

[tex]y=2x+3[/tex]

Therefore, the correct option is C.


Related Questions

could I get some help? Its simplifying square roots of negative numbers.​

Answers

Answer:

The square root of -100 is 10i.

Step-by-step explanation:

please visit my previous questions to know what the word problem is

Answers

Answer:

As below

Step-by-step explanation:

using eq from problem 4)   y = -45x + 1080

then use the point slope formula with the slope of the above line at -45 and plug in your given point of (8, 240)

y-y1 = m(x-x1)   where m is the slope above

y-240 = -45 (x - 8 )  this is an equation for the line but the teacher probably wants the slope intercept form... the formula is y = mx + b

soooo...

y-240 = -45x + 360

y = -45x +360 + 280

y =  -45x + 640

there you go :)

Given f(x) = 4(1 – x), what is the value of f(-10)

Answers

Answer:

44

Step-by-step explanation:

The function formula is given as

f(x) = 4(1 – x)

To find the f(-10) we will substitute into the function formula, then we have

f(-10)= 4[1-(-10)]

=4[11]

=44

Hence, the value of f(-10)= 44

What value of x is in the solution set of 8x - 6> 12 + 2x?
O -1
O0
O3
O5

Answers

Answer:

5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

8x - 6 > 12 + 2x

Step 2: Solve for x

Subtract 2x on both sides:                   6x - 6 > 12Add 6 on both sides:                            6x > 18Divide 6 on both sides:                        x > 3

Here we see that any value x greater than 3 would work as a solution to the inequality.

∴ our answer is 5.

Humans living in highly populated areas are more inclined to _______. a. violence b. socially isolate c. appetite loss d. all of the above

Answers

Answer:

Humans living in highly populated areas are more inclined to violence.

Answer:

A. Violence

Step-by-step explanation:

got it right, hope this helps!

Bananas cost 3abunchandapplescost0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?

Answers

Considering the definition of an equation, the total cost is 0.50a + 3b.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

Total cost

Being

"a" the number of apples."b" the number of bunches of bananas.

and knowing that:

Bananas cost $3 a bunch.Apples cost $0.50 each.

the equation that represents the total cost is:

total cost= 0.50a + 3b

Finally, the total cost is 0.50a + 3b.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

True or false

Parallel lines have the same slope. Perpendicular lines have the same slope except one slope is positive and one slope is negative.

A. False; perpendicular lines have slopes that are the negative inverse of each other.

B. True

C. False; parallel lines have the same y-intercept but different slope.

D. False; only vertical and horizontal lines can be perpendicular

Answers

Answer:

I believe it would be B.

9514 1404 393

Answer:

  A. False; perpendicular lines have slopes that are the negative inverse of each other.

Step-by-step explanation:

It is true that parallel lines have the same slope. However, perpendicular lines have slopes that are opposite reciprocals (negative inverse of each other). So, the compound statement is FALSE.

Pls help I’ve repeated the same question over and over.

Answers

Third option I think

A person borrowef Rs 16000 from a bank at 12.5% pet annum simple intrest and lent the whole amount to shopkeeper at the sam rate of compound interest.How much will he gain in 2 years?​

Answers

Answer:

The amount he gains in 2 years is Rs. 250

Step-by-step explanation:

The parameters of the amount borrowed from the bank are;

The amount borrowed, P = Rs. 16,000

The interest rate of the amount borrowed, R = 12.5%

The number of years, T = 2 years

The simple interest, I = (P × R × T)/100 =  (Rs. 16,000 × 12.5 × 2)/100 = Rs. 4,000

The total amount the person is to pay bank to the bank = P + I = Rs. 16,000 + Rs. 4,000 = Rs. 20,000

The parameters of the amount lent to the shopkeeper are;

The amount lent, P = Rs. 16,000

The compound interest rate of the amount lent, R = 12.5%

The number of years, T = 2 years

The amount he receives from the shopkeeper after 2 years, A = P·(1 + R/n)^(n × T) = Rs. 16,000 × (1 + 0.125/1)^(1 × 2) = Rs. 20,250

The amount he gains in 2 years = The amount he receives from the shop keeper - The amount he gives to the bank = Rs. 20,250 - Rs. 20,000 = Rs. 250

The amount he gains in 2 years = Rs. 250.

The discount on a pack of socks is 15%. It is on sale for $17. What is the original price of the pack of socks?

Answers

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

Write the equation that represents the line shown

Answers

Step-by-step explanation:

(0,2) and (2,0) ...............

Confused pls help
will mark brainliest

Answers

9514 1404 393

Answer:

  A  1

Step-by-step explanation:

The cube containing 125 = 5³ blocks will have a edge dimension of 5 blocks. The perimeter of one square face will be 4 times the edge dimension of the face, so will be 4×5 blocks = 20 blocks.

If 20 blocks = 20 units, then the edge of one block is 1 unit. Its volume is 1 unit³, or 1.

The appropriate choice is (A) 1 unit³ for the block volume.

which one is it?.......

Answers

Answer:

The answer is D

Please correct me if I am wrong

Step-by-step explanation:

80000/0.00004 = 2000000000 (2*10^9)

Which relations are functions?

Select Function or Not a function for each graph.
Can someone help me plz

Answers

Answer:

The 1st and 2nd graph are functions while the 3rd and 4th aren't.

Step-by-step explanation:

The first and second graph doesn't have more than one output for each input. The third and fourth graph isn't a function since there's more than one output for the same input given. If you do the vertical line test, then you'll know which one is a function and which one is not a function. Hope this helps :)

24 is 100% of what number?

Answers

24 is 100% of 24 as it is all of the number

Answer:

24

Step-by-step explanation:

It is the same number.

An aquarium in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide and 8 inches high. What is the total amount of water needed to fill the aquarium with water?

Answers

Answer:

446

Step-by-step explanation:

Find how many values of X does f(x)=5? Illustrate on the graph.

Answers

Answer:

Step-by-step explanation:

The question is saying "How many x values are there when y = 5?"

The answer is 2.

When x ≈ 1 and when x = ≈ 2

There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?

Answers

Answer:

2:1

Step-by-step explanation:

If you that this would be 10:5 you would be half correct

Solution:

No. of boys in glee club:No.of girl in glee club

10:5

(divided by the table of on both sides)

2:1

Answer:

21

Step-by-step explanation:

what is the solution to the equation below?

Answers

The answer is B. x=-7

Explanation:

I just substituted x for all of the answer choices until I found the right one.

Please mark Brainliest!

so first you have to subtract 12 from both sides
this will give you
:square root(1-5x)=6
then we must square both sides to get
: 1-5x=36
we then subtract 1
:-5x=35
and divide by -5 to get a final answer of

:x=-7

Oscar and Carla deposit $1,000.00 into a savings account which earns 10% interest compounded annually. They want to use the money in the account to go on a trip in 2 years. How much will they be able to spend?

Answers

Answer:

They will be able to spend $1210

Step-by-step explanation:

At the start, there will be $1000 in the savings account that will earn 10% of the current savings(1000) so 1000*(10/100)=$100 so after 1 year in the savings account there will be $1100 the same procces will happen for the next year

2nd year:1100*(10/100)=$110

total=$1100 + $110=$1210

which is greater -5/10 or -3 / -4​

Answers

Answer: -5/10, But that can be simplified to -1/2

-5/10 because it equals -1/2 with is gutter right in a number line than -3 or -4 (however if you made a typo and meant to say -3/4 the answer is still -5/10 BUT if you meant to say -3/-4 then the answer would be -3/-4 because that would equal +3/4 which would be further right)

Oh no! A huge wave knocked some coins over Meg’s dingy! If the dingy represents 0, to the left of the dinghy is negative and to the right is positive. How would those locations be ordered from least to greatest?
Negative 1 and one-half, Negative StartFraction 7 Over 8 EndFraction, negative one-half, one-half
Negative one-half, negative 1 and one-half, one-half, negative StartFraction 7 Over 8 EndFraction
One-half, negative 1 and one-half, Negative StartFraction 7 Over 8 EndFraction, negative one-half
Negative StartFraction 7 Over 8 EndFraction, negative 1 and one-half, one-half, negative one-half

Answers

Answer:

A

Step-by-step explanation:

The higher the negative number is the farther left it will be.

Answer:

only answering for the other person to get brainliest

Step-by-step explanation:

Abdul ordered some books online and spent a total of $133. Each book cost $8 and he paid a total of $5 for shipping. How many books did he buy?

Answers

Answer:

8x+5=133

8x=128

x=16

Step-by-step explanation:

16 books

Answer:

He bought 16 books

Step-by-step explanation:

cost = flat fee + books * cost per book

133 = 5 +b*8 where b is the number of books

133 = 5+8b

Subtract 5 from each side

128 = 8b

Divide each side by 8

128/8 = 8b/8

16 = b

He bought 16 books

Find x for the equation 14=xy-5

Answers

Answer: X=19/y

Step-by-step explanation: I used a math app to solve this your welcome.

10 minutes left unit test PLEASE HELPP

Answers

Answer:

8/15

Step-by-step explanation:

8/15

hope this helped!!

Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monitored. Can he use two​ cameras, both with a field of view of 110°​, installed at point​ A? Explain. If​ not, what is the minimum field of view that each camera should​ have?

Answers

Step-by-step explanation:

The two cameras will have total view of:

110° + 110° = 220°

The angle to be viewed is:

270° - 15° = 255°

This is not sufficient to cover the needed area as 220° < 255°

The cameras should have a minimum view of:

255°/2 = 127.5°

Please Please help me with this​

Answers

Answer:

i got 5 and 28

Step-by-step explanation:

Marsha deposited $5,000 into a savings account 3 years ago. The simple interest rate is 4%. How much money did Marsha earn in​ interest?

Answers

Answer:

Amount of interest = $600

Step-by-step explanation:

Given:

Deposited p = $5,000

Number of year n = 3

Interest rate r = 4% = 0.04

Find:

Amount of interest

Computation:

Amount of interest = P(r)(n)

Amount of interest = 5,000 x 3 x 0.04

Amount of interest = $600

Javier bought four 8-ounces bottles of water for hiking trip. He drank 28 ounces. How many ounces of water are left?​

Answers

Answer:

4 ounces are left

Step-by-step explanation:

8 x 4 = 32

32 - 28 = 4

4 ounces are left

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

If there are 4 water bottles with 8 ounces in each, 4•8=32 total ounces. If he drinks 28 ounces, you would have to subtract 28 from 32 to get 4

Step-by-step explanation:

How do I graph this problem X+2y= -2

Answers

If you have an app like Desmos, you can just input that. If not, you would subtract X from both sides to get 2y=-x-2. Then, you would divide by 2 on both sides to get y=-1/2x-1. You can input that into Desmos or a graphing calculator. Please mark me brainliest, but its fine if you don’t want to. Have a good day!
Other Questions
3*x+36=96 i give crown if you help me out What letter is the only letter that does not appear in the name of any United States? Please answer ASAP!!! Describe the industrialization. Talk about what life was like, what type of industries, robber barons, and life for workers. (I had a previous question but people stole my points and didn't help :( Patrick Henry made this statement in his speech at the Virginia Ratifying Convention. The purpose of the speech was to explain why he opposed ratifying the Constitution without a Bill of Rights. (3 points)With which statement would the author of the quote above most likely agree?The president should have the ability to meet with leaders from around the world to plan for war.The U.S. Supreme Court should have the ability to strike down a law limiting prayer on public property.The New York legislature should have the ability to pass a law limiting media coverage of a local tragedy.A coalition of U.S. senators should be able to add NASA funding to the new congressional budget. Which type of mutation can contribute to the development of many types of cancers What is the genotype of an individual with type O blood? What is the slope of the line that passes through the points (-1, 4) and (2,6)? Use the slopeformula to find the slope. What is the connection between cancer and cell replication (explained in 1 paragraph)? Being color bind is an X-Linked Recessive trait. What are the genotype possibilities for a girl who is colorblind (XB or Xb )? What are the possible genotype(s) for her father?What are the possible genotype(s) for her mother?What are the possible genotypes for a boy who is colorblind?What are the possible genotype(s) for his father?What are the possible genotype(s) for his mother? Please determine x. How much natural gas is used in the United States each year? How does this compare with oil and coal use? Which is the input value produces the same output value for the two functions on the graph ? __________ often separated the Greek city-states from each other.A.WallsB.LakesC.DesertsD.MountainsPlease select the best answer from the choices provided While New York City's population is more than twice as large as the 2nd largest American city, Los Angeles, which statement best explains why the United States does NOT have a primate city? This is the second part of that question. What's the answer to this Direct exporting refers to Multiple Choice offering the right to a trademark, patent, trade secret, or similarly valued items of intellectual property in return for a royalty or fee. contracting with a foreign firm to manufacture products according to certain specifications. a foreign country and a local firm investing together to create a local business. using additional parties when a firm sells its domestically produced goods in another country. a firm selling its domestically produced goods in a foreign country without intermediaries. Training in how to handle hazards such as utilities and Hazardous Materials (HazMat) should be provided to responders by the: A ball is thrown straight up in the air. For which situations are both the instantaneous velocity and the acceleration zero?a. on the way up b. at the top of its flight path c. on the way down d. halfway up and halfway down e. none of the above I shared with her my boring life-Missing fun and lacking friends.She said, "The effort that you make-On that all happiness depends."How does the author's word choice here affect the tone of the poem? A. It conveys a mocking tone because the speaker is very condescending. B. It conveys a confusion because the speaker doesn't want to change. C. It conveys a sarcastic tone because the speaker is very angry.D. It conveys a gloomy tone because the speaker is unhappy. which description shows copper at rtp? Steam Workshop Downloader