Which relation is a function?


{(4, 2), (3, 3), (2, 4), (3, 2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 4), (2, 3), (3, 2), (4, 1)}

Answers

Answer 1

Answer: Choice D)

{(1, 4), (2, 3), (3, 2), (4, 1)}

========================================================

Explanation:

Let's go through the answer choices one at a time to see what is a function and what isn't.

A) This is not a function because x = 3 repeats itself. In other words, the input x = 3 leads to multiple outputs (y = 3 and y = 2 simultaneously). A function is only possible if any x input leads to exactly one y output. B) This isn't a function either for similar reasoning as choice A. This time x = 2 repeats itself.C) Same idea as the others. We don't have a function because x = 1 repeats itself.D) Each x input is only listed once, so we don't have any x repeats. Therefore, relation D is a function.

In short, choices A,B,C are not functions because they have a repeated x coordinate; in contrast, choice D doesn't have any repeated x values so it is a function.

Side note: The y values are allowed to repeat themselves, but the function won't be one-to-one.


Related Questions

Will's Burger Place made 29 burgers. 18 of the burgers had onions. What is the ratio of the number of burgers without onions to the total number of burgers?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

11:18

Step-by-step explanation:

Hope this helped!

a. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?

Answers

Answer:

TICKET = $8.50POPCORN =$5.25

Total money did they spent :-

$8.50 + $5.25 = $13.75

Step-by-step explanation:

Hope this helps you !!

for example :

ticket = $5popcorn = $3

each person spends = $(5+3)

=$8

four people = 8 × 4 = $32

hope it helps...!!!

pls answer quickly But the answer

which of the following measurement is the smallest?

A) kilogram

B) Gram

C) centigram

D) milligram​

Answers

Answer: Milligram is the smallest

Step-by-step explanation:

How can you tell from the equations, without graphing, how many solutions the system has?

Answers

Answer:

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Step-by-step explanation:

Hope this helps !!

2. Approximate e?. Round your answer to the nearest tenth

Answers

Answer:

1096.6

Step-by-step explanation:

The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.

Answer:

1096.6.

Step-by-step explanation:

e = about 2.7

2.7^7is about 1046

HELP ME PLEASE

WHAT IS THE VALUE OF X ?

Answers

Answer:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X

Step-by-step explanation:

Simplify the expression. Explain each step 7(4y)

Answers

Answer: 28 y

Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y

Jessie has $120 saved and earns $40 each month in
allowance. Peter has $180 saved and earns $20 a month
in allowance. If they both save their entire allowances,
how long will it take before Jessie and Peter have saved
the same amount of money?

Answers

Answer:

3 months

Step-by-step explanation:

Jessie starts with $120 and get $40 a month

peter has $180 and get $20 a month

1 month passed Jessie now has $160 and Peter has $200

2 months passed Jessie now has $200 and Peter has $220

3 months passed Jessie now has $240 and Peter has $240

Help please
complete the missing information to write a subtraction problem for each number line.

Answers

Answer:

-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)

Step-by-step explanation:

A:

1.4 - 2.2 = -0.8

B:

-0.75 - 1.5 = -2.25

C:

-0.2 - 1.8 = -2

Answer:

A. 1.4 - (-0.8) = 2.2

B. -0.75 - (-2.25) = 1.5

C. -0.2 - (1.6) = -1.8

Step-by-step explanation:

i just took the test on edge, and got it right (pls mark me as brainliest)

please help only answer if you're sure it right​

Answers

(B)

is my answer..........

Answer:

I think b is correct answer

Step-by-step explanation:

is correct answer

I’m a right or nah.


Helppp

Answers

Answer:

You are right

Step-by-step explanation:

It starts at zero and goes up. (Positive slope)

if 5(2x-1)=35,then x=

Answers

Answer:

x=4

Step-by-step explanation:

5(2x - 1) = 35

Should expand so....

10x - 5 = 35

10x = 40

x = 4

Answer:

x=4

Step-by-step explanation:

distribute the 5: 10x-5=35

add 5 to both sides: 10x=40

divide both sides by 10: x=4

2. A group of 40 subjects was divided into two groups with one group given an energy drink and one group
given water. The subjects were then given a spelling test and
the mean number of words correctly spelled was
recorded for each member of the two groups. This experiment was designed this way to quantify which of the
following types of variability?
(1) natural
(3) induced
(2) sampling
(4) measurement

Answers

The design of the experiment was done to quantify induced variability.

What is induced variability?

Induced variability is when a variable that is not naturally present in the experiment is introduced into the experiment in order to test the response of respondents to the variable introduced. The artificial variable that was introduced into the experiment was energy drinks.

To learn more about induced variability, please check: https://brainly.com/question/17290441

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I need help long dividing this equation.

(x^2 - x +5) / (x + 1)

I already know the answer however I’m having a bit of trouble understanding how to get to it. At the second to last operation you come to,
- x^2 + 4x
- x^2 - x
= 5x

I’m having trouble understanding how you get 5x from that? Someone please help!

Answers

First, we'll look at the first term of each expression.

---x times what is equal to x^3? = x times x^2 = x^3

So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.

x^2(x + 1) = x^3 + x^2

(x^3 + 4x + 5) - (x^3 + x^2)

x^3 - x^3 = 0

0 - x^2 = -x^2

4x - 0 = 4x

5 - 0 = 5

Our new expression is -x^2 + 4x + 5.

So we again ask ourselves, x times what is equal to -x^2? = -x

-x(x + 1) = -x^2 - x

And subtract!

(-x^2 + 4x + 5) - (-x^2 - x)

-x^2 - - x^2 = -x^2 + x^2 = 0

4x - - x = 4x + x = 5x

5 - 0 = 5

Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.

Multiply, then subtract!

5(x + 1) = 5x + 1

(5x + 1) - (5x + 1) = 0

Now that we have nothing left to divide, let's go back and get our answer.

x^2 - x + 5

Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.

Hope this helps and if you have any further questions, please let me know! :)

Answer:

Step-by-step explanation:

         x   - 2         <--- quotient

x + 1) x^2 -  x + 5       First divide x^2 by x giving x then multiply x + 1 by x:

         x^2 + x             Now subtract x^2 + x from x^2 - x and bring down +5:

                  -2x + 5     Now divide -2x by x to get -2 and multiply X+1 by -2                           -2x - 2       Subtract:

                           7  

                 

The result is x - 2 (see above)  remainder 7

or you could write it as

x  - 2 + 7/(x + 1)                                            

there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?​

Answers

Answer:

13 in12

Step-by-step explanation:

unit 5 relationships in triangles homework 1 triangle midsegments

Answers

Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:

1. a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. a.) FH = 24

b.) JL = 74

c.) KJ = 60

d.) FJ = 30

4. a.) AE = 26

b.) AN = 58

c.) CT = 21.5

d.) Perimeter of ΔAEN = 127

5. x = 15

6. x = 6

What are Parallel lines?

Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.

The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).

Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:

1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:

a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. The segment parallel to the given segments are:

a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. Given:

FG = 37; KL = 48; GH = 30

a.) FH = ½(KL)

Substitute

FH = ½(48)

FH = 24

b.) JL = 2(FG)

Substitute

JL = 2(37)

JL = 74

c.) KJ = 2(GH)

Substitute

KJ = 2(30)

KJ = 60

d.) FJ = ½(KJ)

Substitute

FJ = ½(60)

FJ = 30

4. Given:

PT = 13

EN = 43

CP = 29

a.) AE = 2(PT)

Substitute

AE = 2(13)

AE = 26

b.) AN = 2(CP)

Substitute

AN = 2(29)

AN = 58

c.) CT = ½(EN)

Substitute

CT = ½(43)

CT = 21.5

d.) Perimeter of ΔAEN = EN + AN + AE

Substitute

Perimeter of ΔAEN = 43 + 58 + 26

Perimeter of ΔAEN = 127

5. 10x + 44 = 2(8x - 23) (midsegment theorem)

10x + 44 = 16x - 46

Add like terms together

10x - 16x = -44 - 46

-6x = -90

Divide both sides by -6

x = 15

6. 19x - 28 = 2(6x + 7) (midsegment theorem)

19x - 28 = 12x + 14

Add like terms together

19x - 12x = 28 + 14

7x = 42

Divide both sides by 7

x = 6

Learn more about midsegment theorem on:

https://brainly.com/question/11482568

Which point is located in Quadrant III ?

(−1/2, 1/4)

(1/2, −1/4)

(−1/2, −1/4)

I will give you brainliest if you are right

Answers

Answer:

here you go :)

Quadrant lll is always both negative so the answer is (-1/2, -1/4)

Step-by-step explanation:

A triangle has side lengths 7, 17, and x. Fill in the inequality for the possible
lengths of x below.

Answers

Answer:

9  < x  < 25

Step-by-step explanation:

To solve 5x + 2 = 1/125, you would first:

Answers

5x + 2 = 1/125
5x = 1/125-2
5x = -249/125
x= -249/625

The solution of the given equation5x + 2 = 1/125 would be equal to -229/625.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The solution of the given equation is

[tex]5x + 2 = 1/125\\5x = 1/125-2\\5x = -249/125\\x= -249/625[/tex]

Learn more about finding the solution graphically here:

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I need help, the solid below is made from cubes find it volume

Answers

Answer:

[tex][tex]\purple{\rule{45pt}{7pt}}\purple{\rule{45pt}{999999pt}}[tex][/tex]

Answer:

40cm

Step-by-step explanation:

Volume is LxWxH. The length is 2cm, the width is 5cm, and the height is 4cm, you can find these values by counting each block as a cm. Then you multiply all the values, (2x4x5) and you get 40.

What is the probability of getting a number less than 4 and then roiling a 4?

Answers

well there is -4 which is the oppsite of positive 4 if that what you ment

The Finish Line paid Converse $24 for a new pair of basketball shoes. If the store sells the shoes for $48, what is the percent mark-up (increase)?

Answers

Answer:

Answer:Total revenue at breakeven is $1,508,042 Explanation:Breakeven point in units = Fixed cost / Selling price -Variable cost per unit Breakeven, and now i think u get it u can do alone! Hope i help you❤️!

Help please (MATH)......................

Answers

Answer:

ft hu hu mmmmmmmmmuaaaaaaaaaaaaaah

I’m not sure but I think it’s 4 square feet


What is the sum of -6 and 9?

Answers

Answer:

3

Step-by-step explanation:

-6+9=3

If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?

Answers

Reminder = f ( 6 )

Thus :

[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]

[tex]f(6) = 1296 - 864 + 1[/tex]

[tex]f(6) = 433[/tex]

Thus ;

[tex]remider = 433[/tex]

In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of vertices E and M.

Answers

Answer:

E is (1, 2) and M is (-3,-2),

Step-by-step explanation:

G and O are diagonally opposite points.

E is the image of O in the x axis and M is the image of G in the x axis.

E which is adjacent to M and  will have y-coordinate of 2 and x -coordinate 1.

M  will have x coordinate same as G which is -3 and y coordinate is -2.

The coordinates of E are (1, 2) and coordinates of M are (-3,-2),

What are Coordinates?

The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.

Here, G and O are diagonally opposite points.

E is the image of O in the x-axis and M is the image of G in the x axis.

E which is adjacent to M and  will have y-coordinate of 2 and x -coordinate 1.

M  will have x coordinate same as G which is -3 and y coordinate is -2.

Thus, the coordinates of E are (1, 2) and coordinates of M are (-3,-2),

Learn more about Coordinates from:

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What is 3 divided by 7 pretty confused since I was on break for a long time

Answers

Answer:

3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)

Answer:

It’s a decimal, (0.42857142857)

Step-by-step explanation:

Yuki bought a pound of confetti for \$12$12dollar sign, 12. What is the price, in dollars, per ounce of confetti

Answers

12 dollars he bought pound confetti the answer is 12 dollars

Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!

Answers

Answer:

  $53.61

Step-by-step explanation:

It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...

  growth factor = 1 + growth rate

  growth factor = 1 -2.4% = 1 -0.024 = 0.976

Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...

  ($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61

The value is projected to be $53.61 in 2 years.

4) Eric bought a canoe for $333.75. He bought a life vest for $134.87 and an ore paddle for $67.89
The sales tax was 5.25%. What was his total cost?

Answers

Answer:

His total cost is $564.68

Step-by-step explanation:

333.75 + 134.87 + 67.89 = 536.51

536.51 x 0.0525 = 28.17

536.51 + 28.17 = 564.68

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