State whether the following mapping represents a function. Then give the domain and range.

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Let us create the table from the given mapping

x y

2 20

2 40

4 40

3 30

From the table, it is clear that the input x = 2 is repeated twice. In other words, the input x = 2 is duplicated.

i.e. at x = 2, y = 20 and at x = 2, y = 40

As we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, the given relation/mapping DOES NOT represent a function.

Determining the domain of a relation:

We know that the domain of the relation is the set of all the x-coordinates of the given points or ordered pairs.

Thus, the domain of the relation in ascending order is:

Domain D = {2, 3, 4}

Please note the duplicated elements in the domain or range of a relation are written only once.

Determining the range of a relation:

We know that the range of the relation is the set of all the y-coordinates of the given points or ordered pairs.

Thus, the range of the relation in ascending order is:

Domain D = {20, 30, 40}

Related Questions

when time in hours (t) increases, how does distance in km (d) change?

Answers

Question seems incomplete but will be explained with assumptions

Answer and explanation:

If for example, a car travels 30 km per hour, then it would travel 60km in 2 hours and 90km in 3 hours and so on

We can apply the formula for distance as such:

Distance(d)= Speed(s) × time(t)

d=st

Where d is distance travelled say 60km

S is speed= 30km/hr

Time = 2 hrs

Also to calculate speed when distance and time is given, we can make speed the subject of the formula:

s=d/t

To calculate time when distance and speed are given, we can make time the subject of the formula:

t=d/s

Beth wants to exercise for 4/5 hour .so far she has exercise for 2/3hour what fraction of hour does she have left to exercise

Answers

Answer:

Hi! The answer is 2/15 . I'm sorry If i'm wrong :(

Step-by-step explanation: To be honest, I suck at explaining :p

Find the area of the shaded sector. Leave your answer in terms of π.

a. 3π ft2
b. 32π ft2
c. 18π ft2

Answers

It’s b 32ft I think not sure):

What is the measure of angle KLM

Answers

Answer:

In triangle KLM, the measure of angle K is 119 degrees, KL=23, and KM=20.

The measurement of the angle KLM is 64°.

What is an angle?

An angle is a geometrical shape that is formed by two rays or lines, called the sides or arms of the angle, that share a common endpoint, called the vertex of the angle.

Given is a figure, we need to find the measurement of ∠KLM,

Here,

∠KLM + ∠KLJ = 180° [linear pair]

20x+4 + ∠KLJ = 180°

∠KLJ = 176-20x

Consider the triangle, KLJ,

∠KLJ + ∠KJL + ∠JKL = 180° [sum of the interior angles of a Δ)

8x+18+6x+4+176-20x = 180°

-6x = -18

x = 3

So, ∠KLM = 20(3)+4 = 64°

Hence, the measurement of the angle KLM is 64°.

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What lines are perpendicular to 3x+6y=5

Answers

Answer:

u means that to make the equations

Answer:

the line on the point 1.2 and 4.5

Step-by-step explanation:

Jerry takes trail mix on hikes. A package of dried apricots weighs 74 ounces. A package of sunflower seeds weighs 60 ounces. Jerry divides the apricots and seeds equally among 8 bags of trail mix.

Answers

i dum please help

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brainly the following stem-and-leaf plot shows the on-record attendance for regional charity drive meetings
What is the mode?
A.)48
B.)84
C.)70
D.)66

Answers

Answer:

what does the stem-and-leaf plot look like?

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

4976÷4=1244

8÷4=2

1244 pounds and 2 ounces.

Answer:

1244 pounds 2 ounces

Step-by-step explanation:

1. Turn everything into ounces. (1 pound is 16 ounces)

4976 x 16 = 79616

2. Add

79616 + 8 = 79624

3. Divide

79624 divided by 4 = 19906

4. Convert it to pounds

19906 divided by 16 = 1244 remainder of 2

5. Get the answer

1244 pounds 2 ounces

The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.

What is the minimum amount of money he needs to save each month?

$540

$625

$675

$1,250

Answers

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

Help please______________________________

Answers

Answer:

By rounding each number to the nearst whole number, estimate the solution:

2.7²X4.3=31.347

8.8-5.15=3.65

for this 31 and 4 if you want to round

Step-by-step explanation:

Answer:

?????????

Step-by-step explanation:

Will mark brainliest!!!
Solve for x

Answers

Answer:

31.88

Step-by-step explanation:

You will use cos, which is adjacent/hypotenuse

cos(15)=x/33

0.97=x/33

31.88=x

Pls answer this for brainly

Answers

Answer:

Step-by-step explanation:

x-1=3

2xy=24

3+24=27

27·2=54

Answer:

Step-by-step explanation:

Which system of equations has the same solution as the system of
equations shown below?
6x + 2y = 10
8x + 4y = 12

Answers

Answer:

Step-by-step explanation:

that's what my teacher said.

6x + 2y = 10 and -4x=-8 system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

6x+2y=10..(1)

2y=10-6x...(2)

We need to find system of equation which having same solutions as above.

From equation (2)

y=5-3x

Now substitute y value in equation 1.

8x+4(5-3x)=12

8x+20-12x=12

-4x=12-20

-4x=-8

Hence, 6x + 2y = 10 and -4x=-8 system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12

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Due in 3 minutes Need help ASAP

Will mark you brainlist

Answers

Answer:

I think it's 10 gallons less than Evan

Solve 3(3/5)*2(3/4)*3(5/6)

Answers

Answer:

6.75

Step-by-step explanation:

Multiple: 3 * 3/

= 3 · 3/

1 · 5

= 9/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(9, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - three multiplied by three fifths = nine fifths.

Multiple: the result of step No. 1 * 2 = 9/

* 2 = 9 · 2/

5 · 1

= 18/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nine fifths multiplied by two = eighteen fifths.

Multiple: the result of step No. 2 * 3/

= 18/

* 3/

= 18 · 3/

5 · 4

= 54/

= 27 · 2/

10 · 2

= 27/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(54, 20) = 2. In the next intermediate step , cancel by a common factor of 2 gives 27/

In words - eighteen fifths multiplied by three quarters = twenty-seven tenths.

Multiple: the result of step No. 3 * 3 = 27/

* 3 = 27 · 3/

10 · 1

= 81/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 10) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-seven tenths multiplied by three = eighty-one tenths.

Multiple: the result of step No. 4 * 5/

= 81/

* 5/

= 81 · 5/

10 · 6

= 405/

= 27 · 15/

4 · 15

= 27/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(405, 60) = 15. In the next intermediate step , cancel by a common factor of 15 gives 27/

In words - eighty-one tenths multiplied by five sixths = twenty-seven quarters.

Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.

Answers

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

198 woman to 110 men in the simplest form

Answers

Answer:

1 4/5

Step-by-step explanation:

198 woman to 110 is basically a ratio, so we should put it like this: 198:110

Now, a ratio that needs to be simplified is basically a fraction, so: 198/110

Now we divide the fraction.

First, find the GCF of both numbers.

The GCF of 198 and 110 are both 22.

Now we divide, and we get 9/5, and we turn it into a mixed number, 1 4/5.

i riley need help with this riley bad !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!............

Answers

Answer:

Green and Orange

Step-by-step explanation:

Green and Orange because 1 1/4 = 1 2/8

2 1/8 + 1 2/8 = 3 3/8

Can I please get brainliest

If a * b = a/b - 1, then 7 * 28 =

Answers

It will be 7/28-1

Brainly. Jvunvfunvufnvjrcufv

celery
celery
celery
celery
celery

Answers

Answer:

d, 3 5/8

Step-by-step explanation:

Lucilla wondered what the average weight of each grapefruit was in a five-pound bag of grapefruits. She purchased six bags and calculated the average weight for a single grapefruit in each bag. Bag of Grapefruits Average Grapefruit Weight (oz) 1 7.1 2 6.9 3 7.3 4 7.6 5 8.1 6 7.5 Using her results, a grapefruit from a five-pound bag of grapefruits should weigh between 7.3 oz and 7.6 oz. 7.1 oz and 7.5 oz. 6.9 oz and 8.1 oz. 7.1 oz and 7.6 oz.

Answers

The data collected by Lucilla is as follows:

7.1 oz

6.9 oz

7.3 oz

7.6 oz

8.1 oz

7.5 oz

What is Range?

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

We need to put this data in order, this will give us:

6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1

We have

smallest value is 6.9 oz

largest value is 8.1 oz

all other values fall in this range

Therefore, the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz

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Answer:

6.9 and 8nd 8.1 or C

Step-by-step explanation:

Commercial dredging operations in ancient rivers occasionally uncover archaeological artifacts of great importance. One such artifact is Bronze Age spearheads recovered from ancient rivers in Ireland. A recent study gave the following information regarding discoveries of ancient bronze spearheads in Irish rivers.

River Bann Black water Erne Shannon Barrow
No of spearcheads 25 7 15 33 14

Required:
a. Make a Pareto chart for these data.
b. Make a circle graph for these data.

Answers

Answer:

Please find the attached file for the solution:

Step-by-step explanation:

Let C = total cost, and t = number of t-shirts. Using the following equation C = 4t + 160, how much will it cost for 30 t-shirts?

Answers

Answer:

$280

Step-by-step explanation:

4(30)+160

120+160

280

Answer:

280 (see below)

Step-by-step explanation:

If C = total cost and t = number of t-shirts, then for 30 shirts, plug the amount of shirts into the variable for shirts in the equation given:

C = 4t + 160

C = 4 (30) + 160

C = 120 + 160

C = 280

52 - 5 – 8

I need help pls !!

Answers

Answer:

Step-by-step explanation:

Answer: 39?

Step-by-step explanation: is it integers?

I'm BEGGING you. plz help. I will mark you brainliest. I have an image attached with the question.

Answers

Answer:

start by mulitplying ten 5 times so 10x10x10x10x10=100,000. then multiply 100,000x3.8=380,000. and then times 300 so your ancwer is 114,000,000

Step-by-step explanation:hope it helps

V² = u² + 2as
u=8 a= -7 s= 2

Work out a value of v

Answers

Answer:

v=6

Step-by-step explanation:

Just plug in the numbers u already know.

v²=8²+2*(-7)*2

V²=64-28

v²=36

v=√36

v=6

What is the area of the triangle?
2
2
units2

Answers

Answer:

Step-by-step explanation:

you just multiply

Two lines have the equations:

2x + 3y = 15 and

3x – 2y = 3

Solve these equations simultaneously to find the point of intersection of the lines.

Answers

Let me know if you have any questions

D) 5. Which situation can be represented by 3s = 5s– 6?

Answers

Answer:

zzzzzolcialmmmmed1a

Step-by-step explanation:

z0mb13br41n5f1r3k1n6

Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. SAS
D. None, not congruent

Answers

SAS is the postulate that establishes the congruence of these two triangles.

What is meant by triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. According to the Angle-Side-Angle Postulate (ASA), if two angles from one triangle and its included side are congruent with two angles from another triangle and its included side, then the two triangles are congruent. Three sides and three vertices make up a triangle, which is a polygon. There is a 180 degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.

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