Determine the range of the following relation.

Input output
-4 1
0 7
2 2
7 7


A
{2, 7}


B
{1, 2, 7}


C
{–4, 0, 2, 7}


D
{–4, 0, 1, 2, 7}

Answers

Answer 1

Answer:

The range of the relation is:

Range R = {1, 2, 7}

Therefore, option B is true.

Step-by-step explanation:

Given the relation

Input                  Output

-4                            1

0                             7

2                             2

7                             7

Determining the domain:

We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.

Thus, the domain of the relation is:

Domain R = {-4, 0, 2, 7}

Determining the range:

We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.

Thus, the range of the relation is:

Range R = {1, 2, 7}

Please note that the duplicated elements in the domain or the range of the function are written only once.

Therefore, option B is true.


Related Questions

It is thought that not as many Americans buy presents to celebrate Valentine's Day anymore. A random sample of 40 Americans yielded 22 who bought their significant other a present and celebrated Valentine's Day. Estimate the true proportion of all Americans who celebrate Valentine's Day using a 98% confidence interval. Express the answer in the form the point estimates /- the margin of error.

Answers

Answer:

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

 (0.3672 , 0.7328)

Step-by-step explanation:

Explanation:-

Given Random sample size n =40

Sample proportion

                            [tex]p = \frac{x}{n} = \frac{22}{40} = 0.55[/tex]

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

   

          [tex](p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )[/tex]

         

The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

    [tex](0.55-2.326\sqrt{\frac{0.55 X0.45}{40} } , 0.55 + 2.326\sqrt{\frac{0.55 X0.45}{40} } )[/tex]

  ( 0.55 - 0.1828 , 0.55 + 0.1828)

  (0.3672 , 0.7328)

         

Answer:

Step-by-step explanation:

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

 

         

       

The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

   

 ( 0.55 - 0.1828 , 0.55 + 0.1828)

 (0.3672 , 0.7328)


HELP ME PLZ
Determine the measure of each numbered angle.
365
2.
3
4.
40°
5
20°
6

Answers

Answer:

1=50

2=130

3=50

4=130

5=40

6=30

Step-by-step explanation:

Remember a straight line is 180 degrees and the interior of a triangle always equals to 180 degrees

Hope this Helped! :D

For a moving object, the force acting on the object where is directly from the objects acceleration. When a force of 21 N Acts on a certain object, the acceleration of the object is 7 m/s^2. If the acceleration of the object becomes 9 m/s^2, what is the force?

Answers

Answer:

[tex]F = 27N[/tex]

Step-by-step explanation:

Given

Force directly proportional to acceleration

Force = 21N when Acceleraion = 7m/s^2

Required

Determine the force when acceleration = 9m/s^2

The variation between force (F) and acceleration (A) implies that:

[tex]F\ \alpha\ \ A[/tex]

Convert to an equation

[tex]F = mA[/tex]

Where m is constant.

When F = 21 and A = 7, we have:

[tex]21 = m * 7[/tex]

Solve for m

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

When A = 9

Substitute 9 for A and 3 for m in [tex]F = mA[/tex]

[tex]F = 3 * 9[/tex]

[tex]F = 27N[/tex]

Solve for d.
5 + d > 5 – d

Answers

Answer:

d > 0

Step-by-step explanation;

4/n = 4/5

Please provide best answer:

A: n = 5
B: n = 5/16
C: n = 3 1/5
D: n = 50​

Answers

Answer:

[tex]\huge\boxed{\sf n = 5}[/tex]

Step-by-step explanation:

[tex]\sf \frac{4}{n} = \frac{4}{5} \\\\Cross \ Multiplying \\\\n * 4 = 4*5\\\\Divide \ both \ sides \ by \ 4 \\\\\frac{n*4}{4} = \frac{4*5}{4} \\\\n = 5 \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

n = 5

Step-by-step explanation:

[tex] \frac{4}{n} = \frac{4}{5} [/tex]

Dividing 4 on both the sides gives ,

[tex] = > \frac{4}{n} \div 4 = \frac{4}{5} \div 4[/tex]

[tex] = > \frac{4}{n} \times \frac{1}{4} = \frac{4}{5} \times \frac{1}{4} [/tex]

Cancelling 4 from numerator and denominator from both the sides ,

[tex] = > \frac{1}{n} = \frac{1}{5} [/tex]

Cross-multiplying the denominators of both sides,

[tex] = > n = 5[/tex]

Alexandra has 4 bags of beads. Some of the bags contain 3 purple beads and the rest contain 6 indigo beads. If Alexandra has 21 beads in all, how many bags of each color bead does Alexandra have?

Please help me fast!!

Answers

Answer:

4 bags of purple beads and 3 bags of indigo beads.

Step-by-step explanation:

Total number of beads = 21 beads'

Total bags of beads = 4 bags

Purple beads = 3 purple beads

Indigo beads = 6

Let x be each bags of purple beads

Let y be each bags of indigo beads

Since there are 4 bags of bead then;

x + y = 4 ....1

If some of the bags contain 3 purple beads and the rest contain 6 indigo beads, then;

3x + 6y = 21

x + 2y = 7.....2

Subtract 1 from 2

y - 2y = 4 - 7

-y = -3

y = 3

Sunce x + y =7

x = 7-y

x = 7-3

x = 4

Hence there are 4 bags of purple beads and 3 bags of indigo beads.

a cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats were empty?

Answers

it’s 60%. (144 divided by 240)x100= 60

Answer:

60%

Step-by-step explanation:

You are Christmas shopping and your bill at the register is $130. You have two coupons, but you are only allowed to use one. Coupon 1 is for 10% off. Coupon 2 is for $10 off. Answer the following question 7a-7b-7c

Answers

Answer:

the answer is 10 percent off because that is 13 dollars

Step-by-step explanation:

if you do 130 times 10 it is 1300, then divide by 100 it equals 13 dollars off. if you did the other coupon it would only be 10 dollars off

Which numbers are factors of 16? Check all that apply.
o 2
o 3
o 4
o 8
o 16
o 32

Answers

Answer:

2,4,8,16

Step-by-step explanation:

2*8=16

4*4=16

8*2=16

16*1=16

those are the numbers you have that can give u 16 but with 3 and 32 no

Hope this helped!

Answer:

2,4,8,16

Step-by-step explanation:

That’s your answer

Is this the right answer

Answers

Answer:

yes that would be correct

Step-by-step explanation:

4 + 4 is 8

1 A parallelogram has base 7.3 mi and height 3.1 mi. What is its area? A 22.63 mi? B 1116 mi? C 26.28 mi? D 21.8 mi?​

Answers

Answer:

A) 22.63

Step-by-step explanation:

Well as we all know to find the area of a  parallelogram u have to multiply Base by Height = Area ; Base×Height=Area

As so:    7.3×3.1=22.63

Final answer 22.63

Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1?
O (1,1)
O (1.4)
0 (4,1)
O (4,4)

Answers

Answer:

it would be 4,1

Step-by-step explanation:

because its the only one that startes with 4 and ends with 1

Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
quarters does Veronica have?

Answers

The answer to your question is 4.11 if I’m correct

Jayson can make 4/5 of a 5 layers cake in 15 minutes. At this rate, how many cakes can Jayson make in 1 hour?

Answers

Answer:

3.2 cakes a hour

Step-by-step explanation:

Find -(-14).
—14
-4
4
14

Answers

Answer:

Step-by-step explanation:

minus in front of a minus=+

14

Answer:

D. 14

Step-by-step explanation:

???? Help me and I’ll mark as brainliest

Answers

Answer:

15

Step-by-step explanation:

Answer:

I believe the answer is 6.

Step-by-step explanation:

Matt is making cookies. He adds 3/4 of a cup of sugar to a bowl. He then removes two 1/8 cups of sugar. Which of the following best explains the amount of sugar left in the bowl?
3/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8
3/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8

Answers

Answer:

4/8 because 3/4 - 2 × (1/8) = 3/4 - 2/8

Step-by-step explanation:

4/8, because 3/4-2*(1/8)=3/4-2/8

3/4 is equal to 6/8
2 1/8s is equal to 2/8
Subtract:
6/8-2/8=4/8 simplify (both have a GCF of 4) (4/8)/4=1/2

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

Answers

Answer:

The unit rate per week is $4.

Step-by-step explanation:

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

The answer is 4

You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y.

Answers

Answer:

x= -4 & y=-12

Step-by-step explanation:

multiply y=3x by 2

giving you 2y=6x

subtracting 2y=x+20 from 2y =6x

=> 5x=-20

dividing through by 5

=> x=-4

put x=-4 into y=3x

=> y=3(-4)

y=-12

He is pulling 400 feet over level ground by exerting a constant 25-pound force on the bar that makes an angle of 30° with the ground.



How much work is Thomas doing to pull the wagon?

10,000 foot-pounds
8,660 foot-pounds
7,070 foot-pounds
5,000 foot-pounds

Answers

Answer:

It’s b

Step-by-step explanation:

Answer:

B on edge

Step-by-step explanation:

Write the first three terms in the sequence given by the formula an = 8n + 4

Answers

Answer:

[tex]a_{1}[/tex] = 12

[tex]a_{2}[/tex] = 20

[tex]a_{3}[/tex] = 28

Step-by-step explanation:

In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.

[tex]a_{1}[/tex] = 8 x 1 + 4

[tex]a_{1}[/tex] = 8 + 4

[tex]a_{1}[/tex] = 12

Then.......

[tex]a_{2}[/tex] = 8 x 2 + 4

[tex]a_{2}[/tex] = 16 + 4

[tex]a_{3}[/tex] = 20

And finally .......

[tex]a_{3}[/tex] = 8 x 3 + 4

[tex]a_{3}[/tex] = 24 + 4

[tex]a_{3}[/tex] = 28

Solve to find the area:

Answers

Answer:

16cm^2

Step-by-step explanation:

well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16

Answer:

16 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Triangle: A = 1/2bh

Step-by-step explanation:

Step 1: Define

Base b = 8 cm

Height h = 4 cm

Step 2: Find A

Substitute [Area]:                    A = 1/2(8 cm)(4 cm)Multiply:                                   A = (4 cm)(4 cm)Multiply:                                   A = 16 cm²

Convert 33 feet per second to miles per hour. Round to the nearest tenth.

33 feet1 second = miles/hr

Answers

Answer:

about 22.5 mph

Step-by-step explanation:

for an approximate result, divide the speed value by 1.467

The town of Euclid started a voluntary recycling program. The first year it was utilized by 1500 residents. Every year afterward, the number of new users was 120% of the new users the year before. After 6 years, how many people total were using the recycling program?

Answers

Answer:

170,070 residents

Step-by-step explanation:

Original population = 1500 residents

Total population after 6 years is calculated using the formula

A = P(1+r)^t

r is the rate = 120% = 1.2

t is the time = 6 years

P is the original population

A = 1500(1+1.2)^6

A = 1500(2.2)^6

A = 1500(113.379904)

A = 170,069.856

Hence the total people using the recycling program after 6 years is approximately 170,070 residents

Morgan's mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much will she have to pay back if she pays the full amount in one year?

Answers

Answer:

$777.60

Step-by-step explanation:

8/100 = 0.08

0.08 * 720 = 57.6

57.6 + 720 = 777.6

Answer:

Step-by-step explanation:

8/100*720=5760/100

=$57.6

$720-$57.6=$662.4

she will pay back $662.4.

Four less than the product of 2 and a number is the same as negative eightteen. Find the number

Answers

Answer:

12

Step-by-step explanation:

4-2x=-18

-4        -4

-2x=-24

-2      -2

x=12

-3x+2y=-17,-6x+3y=-30 using elimination

Answers

Answer:

x= 3, y= -4

Step-by-step explanation:

A. 3(x+2) = 18
T + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Answer:

It's 4 I hope this helped.

If I subtracted 2 from 6 in Equation B. I would get 4. Putting 4 to replace the x in Equation A, it makes the equation make sense.

Step-by-step explanation:

3 ( 4 + 2 ) = 18

4 + 2 = 6

NEED HELP!!!!!!!!!!!!!

Answers

The answer to your question is DG.

Ppls help i give brainlist

Answers

im guessing the table goes 3 6 9 then
5 10 15
Other Questions
Exercise 1.64students measered a mass of a piece of metalwhose accurate mass 34. 75 g Their results are 34.2 g, 33.75 g, 35.0 g, and 34.69 g.a.What is the best estimate for the mass of the piece of metal? Explain why?b.Explain whether the results are precise or accurate? Which measurement is most likely to be the mass of a strawberry? what does gestapo mean pls help. read each sentence from R.J. palacio's wonder.use the drop-down menus to choose the sense that the details in the sentence most appeal to. A person places $6860 in an investment account earning an annual rate of 2.9%, compounded continuously. Using the formula V=PertV=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years. Questlon 9 of 24Which of the following is the best reason for a reader to understand thebackground of the author who wrote a story?OA To know the author's family treeOB. To determine when and where the author was bornOC. To understand the story in a new wayOD To answer trvia questions about the author Theban fairytale-What does the creature say to Oedipus when he approaches her at first? At a concert, the band has 18 men's T-shirts and 16 women's T-shirts. The band wants to set up tables to sell the shirts, with an equal number of men's and women's shirts available at each table and no shirts left over. What is the greatest number of tables the band can sell shirts from? In animals, energy is produced by the:A. chloroplastB. endoplasmic reticulumC. mitochondriaD. nucleus Bramble Corp. incurs the following costs to produce 9300 units of a subcomponent: Direct materials $7812 Direct labor 10509 Variable overhead 11718 Fixed overhead 16200 An outside supplier has offered to sell Bramble the subcomponent for $2.85 a unit. If Bramble could avoid $3000 of fixed overhead by accepting the offer, net income would increase (decrease) by $(2052). $6534. $534. $(5697). Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $ If a student pushes a book across a table with a force of 6 N and the force of friction is 4 N. What is the net Force acting on the book? Item 8 Starting at 1:00 p.M., the temperature changes 4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach 1F. An equation is ? =1. It will take hours to reach 1F. When the increase in the price of one good causes the demand for another good to decrease, the goods are Group of answer choices normal. complements. inferior. substitutes. LOTS OF POINTS plz help due today!!!!! Cmo se traduce mejor la oracin: La familia compra una casa nueva? The family is buying a brand new house. The family is buying a new house (but no details are given on the age of the house). The new family is buying a house. I need help with this question thanks! Write an descriptive writing about a beach using sensory details. Try to use Figurative devices as well. (e.g simile metaphors) ss ..........' s 's s ss What is the main cause of wind? (5 points)