Which of the sets of ordered pairs represents a function? (1 point)

P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}

Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}

Answers

Answer 1

Answer:

Conclusion:

Both sets represent the function.

Step-by-step explanation:

We know that a function relates an input to an output.

For example, a certain plant grows 10 cm each year. Thus, the height of the plant is associated with its age using the function

h (age) = age × 10

Thus, if the age of the plant is 2 years, the height is:

h(10) = 2 × 10 = 20 cm

Set P

P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}

The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.

The x-values are 6, 3, -9, and -5.

Thus, there are no duplicated inputs or x-values.

Therefore, the set P  of ordered pairs represents a function.

Set Q

Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}

The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.

The x-values are -7, 4, -3, and 1.

Thus, there are no duplicated inputs or x-values.

Therefore, the set Q  of ordered pairs also represents a function.

Conclusion:

Both sets represent the function.


Related Questions

21/35 as a decimal rounded to the nearest tenth

Answers

21/35= 0.6 you use simple math

A car dealership increase the price of a single by 6% original price was $37,800 what is the price

Answers

Answer:

$40,068

Step-by-step explanation:

37,800 x 0.06  = 2,268

37,800 + 2,268 = 40,068

answer above is correct

Find the lateral area of this cone.
Round to the nearest tenth.
Hint: Lateral Area of a Cone = url
Where l = slant height
15in
12in
[?] in2

Answers

Answer:

565.5 in²

Step-by-step explanation:

Lateral area of a cone is represented by,

Lateral surface area = πrl

Here 'r' = Radius of the circular base

l = lateral height of the cone

By this formula,

Lateral area = π(12)(15)

                    = 565.49

                    ≈ 565.5 square inch

Therefore, 565.5 in² is the answer.

start fraction 5.2 over 3.5 end fraction equals start fraction y over 7.5 end fraction
A. 7.25
B. 11.14
C. 5.05
D. 2.43

Answers

Answer:

A

jk its D hope this helps

Question Three
What is the value of in the figure?
61
4 Ft
(5x)
(10x - 10)
6 ft
A
2
B
6.4
С
8
D 9.5

Answers

I believe the answer is A

Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings

Answers

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

Mrs Jonas has 35 students in her math class. If her class increases to 42 students next year what will be the percent of change?

A) 335

B) 93%

C) 75%

D) 20%

Answers

Answer:

D. because I did it

Step-by-step explanation:

got it right.

Answer:

20%

Step-by-step explanation:

well if the class would increase 35+35 it would be 50 % so its supposed to be a smaller percentage

The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11

1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?

Answers

Answer:.

Step-by-step explanation:

Simplify the expression below using laws of exponents.

Answers

Answer:   36/[tex]K^{2}[/tex]

Step-by-step explanation:

The k on top will cancel the k to the second power.

So the only number in the numerator is 1.

Then the 1 qill go away because you cant divide anything by 1.

The expoenet -2 that was at the top near K will become positive.

Then distribute

Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8

Answers

Answer:

D: 5:2

Step-by-step explanation:

40:16 simplified is 5:2

The simplest form of the ratio 40:16 is 5:2.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).

First, let's find the GCF of 40 and 16.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The factors of 16 are 1, 2, 4, 8, and 16.

The largest number that appears in both lists is 8.

Therefore, the GCF of 40 and 16 is 8.

To simplify the ratio, we divide both terms by 8:

40 ÷ 8 = 5

16 ÷ 8 = 2

Thus,

The simplest form of the ratio 40:16 is 5:2.

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Graph the funtion f(x) = [tex]\sqrt[3]{x - 2}[/tex].

(I added a picture just in case you can't read the equation)

Struggling a lot could use a friend right about now thank you

Answers

This process is very simple. All you are doing is creating a table of values somewhere to help you graph this function. As you can see, the coordinates of [tex]\displaystyle [-6, -2], [1, -1], [2, 0], [3, 1],[/tex] and [tex][10, 2][/tex] are all touched on this graph, letting you know that this information is accurate.

I am joyous to assist you at any time. ☺️

find the slope of the line through each pair of points. (9, 16) , (14, -12)

Answers

Answer:

slope = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 16) and (x₂, y₂ ) = (14, - 12)

m = [tex]\frac{-12-16}{14-9}[/tex] = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]

What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6

Answers

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

PLEAZE HELP MS OUT I DONT UNDERSTAND

Answers

Answer:

cant see the pic

Step-by-step explanation:

Answer:

C.) SAS

Step-by-step explanation:

When the marks on a triangle are the same as another, they have a congruent measure.

In the given triangles, the red line and arch on both mean they have a congruent side and angle.

Since they share a side, that side is congruent for both.

So now we have a congruent side, angle, and side. This is the SAS theorem,

Dolly and Willie's scores are shown. Dolly claims that she is the better student, but Willie
claims that he is the better student. What statistics make either Dolly or Willie seem like
the better student? Drag and drop the correct word into each box to complete the
explanation.

Answers

Answer:

I have attached a picture below. I hope this helps!


Which of the following would earn the same amount of interest as a $600 principal with 2.5%
interest for 6 years?

Answers

Answer:$225 at 10% for 4 years and $80 at 75% for 18 months

Step-by-step explanation:

The required interest earned is given as $90, as of the given condition.

Given that,
Principal = $600
Rate = 2.5% and time = 6 years

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Simple interest = principal × rate × time /100
Simple interest = 600× 2.5× 6 /100
Simple interest = 90

Thus, the required interest earned is given as $90, as of the given condition.

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ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is

A. $2,560
B. $2,904
C. $2,850
D. $2,890​

Answers

B. $2,904 i hope this helps :)

What value of x makes this equation true? 12x - 15 = 6 - 3x

Answers

Answer:

12x - 15 = 6 -3x (add 3x to both sides)

15x - 15 =6 (add 15 to both sides)

15x= 21 (divide both sides by 15 to get x alone)

x= 1.4  (the answer)

Answer:

1.4

Step-by-step explanation:

Is this graph a function? why or why not.

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

A line passes through the points (-8,-4) and has a slope of 5/4.​

Answers

The answer is y=5/4x+6

Which spacecraft tested the soil of Mars for signs of life?

Answers

Answer:

Viking landers

To date, the Viking landers (1976) were the only spacecraft to conduct experiments looking for life in the Martian soil.

Step-by-step explanation:

brainly?

help plz bc idk what to do​

Answers

Answer:

A.) k=0.5

Step-by-step explanation:

If we use the formula given: y=kx, we can plug in values.

0.5=k(1)

0.5=(0.5)(1)

0.5=0.5

We know that to get from 1 to 0.5, we need to divide by two, or multiple by 1/2. 1/2 in decimal form is 0.5

A track team has 25 runners. There are 18 boys on the team. What percent of the track team are girls? *

Answers

Answer:

28%

Step-by-step explanation:

Given that,

The total no of runners = 25

No. of boys in the team = 18

We need to find the percent of the track team are girls.

Total no of girls = 25-18 = 7

Percent of girls :

[tex]g=\dfrac{\text{No. of girls}}{\text{Total runners}}\times 100\\\\=\dfrac{7}{25}\times 100\\\\=28\%[/tex]

Hence, there are 28% of girls.

An item cost 460 before tax and the sales tax is 32.20 find the sales tax rate write your answer as a percentage

Answers

Answer:

7%

Step-by-step explanation:

mark walked 21,129 feet in one hour. at that speed, how many miles will he walk in 2 hours

Answers

so a mile has 5280 feet.

21,129/5280= 4 mph

multiply

4 x 2 = 8 miles in 2 hours

Answer: 23.129

Step-by-step explanation:

Find the missing quantity in the double number line.

Answers

This might help u
Gl

The missing quantity is 100 books in the double number line.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

Let the missing quantity be x in the double number line.

According to the given condition, we can write the proportion would be as:

40 books : 2 boxes = x books : 5 boxes

⇒ 40 / 2 = x / 5

Apply the cross-multiplication operation,

⇒ 40 × 5 = 2x

⇒ 2x = 200

⇒ x = 200/2

⇒ x = 100

Therefore, the missing quantity is 100 books in the double number line.

Learn more about the proportion here:

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Erica can paint her room 5 hours .If she had her friend Rachel help her , they can paint the room together in 3 hours .How long would it take for Rachel to paint the room alone , if Erica wanted to go play tennis for the afternoon ?

Answers

Answer:

7 hours 30min

Step-by-step explanation:

Step one :

Given data

We are told that Erica can paint 1 room in 5hours

Her work rate is 1/5 room per hour

And also with the assistance of her friend they can paint 1 room in 3 hours

Hence their combined work rate is 1/3 room per hour

Step two

The combined work expression is

1/A+1/B=1/T

Where A=Erica's work rate

B=Rachael's work rate

T=combined work

1/5+1/B=1/3

1/B=1/3-1/5

1/B=5-3/15

1/B=2/15

B=15/2

B=7.5 hours

It will take Rachel 7 hours 30min to paint the room

Need help with 20-23 please. geometry

Answers

Answer:

20) 5X3=15 15h  

21) 12X15=18 180

22) IDEK

23) IDEK

Step-by-step explanation:

What is the measure of the missing side?

Answers

The explanation is in the photo. Have a look

please help i have been stuck on this for so long :(

Answers

Answer:

Angle 1

Step-by-step explanation:

Angle 1 is the only marked angle that is an obtuse angle (larger than 90 degrees, but less than 180).

Also, the angle marked as 28 degrees and angle one are supplementary, meaning that they add up to equal 180. 180-152=28

Answer:

angle 1

Step-by-step explanation:

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