Determine whether each relation is a function. If so, provide the domain and range.


a. Width versus area.

Width (m) | Area (m2)

1 6

5 50

10 150

11 176

14 266

Function?


If so,

Domain =


Range =



b. Hours worked versus salary.

Hours Worked | Salary

0 0

10 $300

20 $600

30 $900

40 $1200

Function?


If so,

Domain =


Range =



c. Height versus age.

Height (cm) | Age (years)

160 20

160 25

160 30

160 35

160 40

160 45

160 50


Function?


If so,

Domain =


Range =

Answers

Answer 1

Answer:

a. Function: Yes

Domain = 1, 5, 10, 11, 14

Range = 6, 50, 150, 176, 266

b. Function: Yes

Domain = All positive integers

Range = All positive integers

c. Function: The relation is not a function

Step-by-step explanation:

A function is a relation where each input value has only one output value

a. The given data are presented as follows

[tex]\begin{array}{cc}Width \, (m)&Area \, (m^2)\\1&9\\5&50\\10&150\\11&176\\14&266\end{array}[/tex]

For each value of the input variable, the width, there is exactly one out put variable, therefore, the relation is a function

Function; Yes

The domain, the input values, includes; 1, 5, 10, 11, 14

The range, the output, values, includes; 6, 50, 150, 176, 266

b. Hours worked versus salary

[tex]\begin{array}{cc}Hours \ worked &Salary\\0&0\\10&\$300\\20&\$600\\30&\$900\\40&\$1200\end{array}[/tex]

For each value of the input variable, hours worked, there is exactly one out put variable, therefore, the relation is a function with the following equation;

Salary = $30 × Hours worked

Function; Yes

The domain, the input values, includes; All positive integers

The range, the output, values, includes; All positive integers

c. Height versus age

[tex]\begin{array}{cc}Height \, (cm)&Age\, (years)\\160&20\\160&25\\160&30\\160&35\\160&40\end{array}[/tex]

For each value of the input variable, the height, there are more than one  out put variable, the age, therefore, the relation is not a function

Function; No


Related Questions

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3.vertex
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Answer:

I think it's vertex bestie not sure tho lmk if it's wrong

At the store Rebecca some $14.52 on 12 rolls of paper towels at what unit rate did Rebecca spend money on paper towels

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Answer:

Unit rate = 1.21

Step-by-step explanation:

1. Divide 14.52/12 to get the unit rate which is 1.21.

That's it. Rebecca spent 1.21 dollars per paper towel.

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Answer:

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Step-by-step explanation:

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Answer:

345/7

Step-by-step explanation:

h=345/7 tell me if its right

A system of equations is shown below.

y = x2 + 6x - 8

y = 4x + 7

What is the sum of the y value(s) of the solution set?
-----------------------------------------------------------------------------------
Group of answer choices

-2

32

6

no solution

Answers

Answer:

Step-by-step explanation:

x² + 6x - 8 = 4x + 7

x² + 2x - 15 = 0

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x = -5, 3

y = 4x + 7 = -13, 19

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Please help!
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Answer:

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Step-by-step explanation:

I think you forgot a file? How did that person answer it! I don’t see a file

Can someone plz help me ?

Answers

Answer:

2

Step-by-step explanation:

not needed

Answer:

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Step-by-step explanation:

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The price of an item increased from 20 to 30. The percentage of increase is pls help me I have exam after a week pls I hope you will help if you did I will foolw and like who did​

Answers

Answer: 50% increase

Step-by-step explanation:

Think of 20 as 100%

Half of 20 is 10 which is 50% in this scenario.

30-20=10

This means that the price of the item increased by 50% or 10.

Given that a = 18 cm and b = 23 cm, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

207 cm^2

Im assuming this is a right triangle.

In that case, the formula is A=1/2bh

So 1/2(18)(23)= 207 :D

WILL GIVE BRAINLIEST

Which expression correctly represents "nine less than the quotient of a number and four, increased by three”?

A. N/4 - 9 + 3
B. 4/N - 9 + 3
C. 9 - n/4 + 3
D. 9 - 4/n + 3

Answers

Answer:

c

a fraction bar Is just a division bar, it's c.

Of the shapes shown, 1/3 are circles and 1 1/2 are rectangles. What fraction of the shapes are either circles or rectangles?

Answers

Answer: 1 5/6

Step-by-step explanation:

From the question given, we are told that out of some shapes shown, 1/3 of the shapes are circles and 1 1/2 are rectangles.

The fraction of the shapes that are either circles or rectangles, will be gotten by adding the shapes that are circle to those that are rectangle. This will be:

= 1/3 + 1 1/2

We should make the fraction have a common denominator.

= 2/6 + 1 3/6

= 1 5/6

The answer is 1 5/6.

Is this correct will give Brain

Answers

Answer:

it d

Step-by-step explanation:

a line passes through the points (2, 2) and (6, 1). determine the slope of the line.​

Answers

Answer:

slope=-1/4

Step-by-step explanation:

what is 1+12x-40 evaluated

Answers

Answer:

12x-39

Step-by-step explanation:

40-1=39

Write two numbers that multiply to the value on top and add to the value on bottom. 45x __+14

Answers

Answer:

9 and 5

Step-by-step explanation:

..................

Person on top is right

Please help ASAP Gavin works as a salesperson at an electronics store and sells phones and phone accessories. Gavin earns a $12 commission for every phone he sells and a $3.50 commission for every accessory he sells. On a given day, Gavin made a total of $135 in commission and sold 12 more accessories than phones. Determine the number of phones sold and the number of accessories sold.

There were
____phones sold and
____ accessories sold.

Answers

Answer:

6 phones and 18 accessories

Step-by-step explanation:

12P + 3.50A = 135

A = 12 + P

12P + 3.50(12 + P) = 135,

12P + 42 +3.50P = 135

15.50P = 93

P = 6 phones

A = 12 + 6 = 18 accessories

If a driver drives at a constant rate of 32 miles per hour, how long would it take the driver to drive 208 miles ?

Answers

Answer:

6.5 hours

Step-by-step explanation:

208/32 = 6.5

6.5 hr

1h➡️32mile

?➡️ 208 mile

[tex] \frac{1 \times 208}{32} = 6.5[/tex]

Match the type of rock with how it forms.
HELP ASAP PLEASE!!!

Answers

Answer:

Step-by-step explanation:

Igneous

Sedimentary

Metamorphic

Hope that helps!

Abby will receive a cash prize when she earns 300 bonus points at the video shop. Abby receives 5 bonus points every time she rents a recent release video at the video store, plus a 60-point bonus for becoming a member. The total number of bonus points, B is given by B = 5n + 60, where n is the number of videos being rented. How many videos must Abby rent to receive her cash prize?
A.240
B.120
C.60
D.48

Answers

it’s D)48.
plugged into the given equation it looks like 5(48)+60
needs to equal 300 and it works.

ply
1:
Kristina receives £5 from her Grandmother.
She gives £1 to her sister.
What percentage of the £5 did she give to her sister?

Answers

Answer:

Step-by-step explanation:

1/5 = 0.2 = 20%

A mountain trail will cover 4,855 feet vertically over a horizontal distance of 17,625 feet.
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Answers

Hbbnbnnnbbbbbbbbbghnmmjgvbmjuj,

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Answers

Answer:

x=15.714

y=5.715

Step-by-step explanation:

Answer:

x=10, y=20

Step-by-step explanation:

okay so to find x, or the way I did it, we just have to look at the top, we know one line is 180 degrees, and we see three angles, 7x,90, and 20

so 90+20+7x=180

and:110+7x=180

therefore: 7x=70

and finally: x=10

To find y also isn't had if we just look at the blue and green lines we see they are intersecting and opposite angles in intersecting lines are congruent meaning they are the same. So we now know that:

5x+2y=90

and we know x=10

so 5x=50

meaning that: 50+2y=90

therefore: 2y=40

and in conclusion y=20

Carter, Michelle, and Jen work at a coffee shop. All three of them worked 6 hours on Monday. Michelle and Jen worked 7 hours on Tuesday. On Wednesday, Carter worked 5 hours. On Thursday, Carter and Michelle worked 4 hours, and Jen worked 8 hours. Use a matrix to organize the number of hours all three employees worked Monday through Thursday.

please help, i will give brainliest!! <3

Answers

Sorry i dont know what a matrix is but the answer to all 3 of the workers time is, 66

PLEASE PLEASE PLEASEEEEE HELP ME PLEASEEE!!!

Answers

Answer:

V = 0.523598776

Step-by-step explanation:

Holly has 46 quart of potato salad. She gives 26 quart to a friend. How much potato salad does she have left? Explain.

Answers

Answer:

Holly has 20 quart of potato salad left.

Step-by-step explanation:

Holly has 20 quart of potato salad because she originally has 46 quart of potato but gave her friend 26, subtracting 26 from the original amount of quart of potato she had.

Given x=2 and y=4, then x*2 y is

Answers

Answer:

16 I guess

Step-by-step explanation:

2*2 is 4

Then 4 times 4 is 16.

i’m pretty sure it is 16

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Answers

Answer:

24 x 2.5 = 60...

Step-by-step explanation:

sorry if this is wrong...

have a good day

28. Construct a rectangle ABCD in which AB = 4 cm, BC = 3.5 cm. Construct a triangle whose area is equal to that of rectangle ABCD

Answers

Answer:

Triangle b = 4, h = 7

Step-by-step explanation:

Rectangle area = L*W

Triangle area = (B*H)/2

Rectangle/2 = Triangle

If you want triangle to = rectangle, then rectangle*2/2

Rectangle = 4*3.5 = 14

Triangle = 4*7 = 28/2 = 14

Im giving 30 points pls help

Answers

Step-by-step explanation:

Pathagory and Theorem

a^2+b^2=c^2

(x-3)^2+(x-4)^2=6^2

expand:

2x^2-14x+25=36

2x^2-14x-11=0

x=(\sqrt{71}+7)/2

perimeter=(x-3)+(x-4)+6=2x-1

insert the value for x into 2x-1

[tex]\sqrt{71}[/tex]+6=perimeter

Hope that helps :)

9514 1404 393

Answer:

  2x -1

Step-by-step explanation:

The perimeter is the sum of the side lengths.

  P = 6 + (x -4) + (x -3)

  P = 2x -1 . . . . . . collect terms

The perimeter is 2x -1.

_____

Additional comment

There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.

SOLVE PLS HURRY PLS INCLUDE STEPS 4a + 1 - a = 19

Answers

Answer:

a=6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4a+1−a=19

(4a+−a)+(1)=19 (Combine Like Terms)

3a+1=19

Step 2: Subtract 1 from both sides.

3a+1−1=19−1

3a=18

a=18/3

a=6

--

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