How can u determine whether a relation represented as an equation is a function

Answers

Answer 1

It can be determined that a relation represented as an equation is a function if and only if for each value on x-axis, there is a corresponding value on Y-axis.

which also signifies that for each value of x , there is a value of y which exists and is real.

A function is a mapping from one set to another such that nothing in the first set is mapped to more than one thing in the second set.

Or in simple words if there is no corresponding value of y for any x, then that is not a function.

For example,

[tex]x^{2} +y^{2}[/tex]=1

when the value of x is 0 , then value of y is 1 or -1, Thus, it will not be a function.

For further reference:

https://brainly.com/question/6502177?referrer=searchResults

#SPJ9


Related Questions

question 3 consider a certain type of nucleus that has a decay rate constant of 0.0250 min-1. calculate the time required for the sample to decay to one-fourth of its initial value.

Answers

Answer:

since the decay rate constant of0.0 250 min.

hence the time required for the sample to decay to one forth of it's initial value is

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the value of the expression that is described as “half the difference of 14 and 8”?

Answers

Answer:

I would say 6

Step-by-step explanation:

Difference is subtraction.

Write an compound inequality for the following graph.​

Answers

The compound inequality for the graph is -5 ≤ x ≤ -1

How to write a compound inequality for the following graph?

On the graph, we have the following endpoints

Endpoint 1 = -5 (closed circle)Endpoint 2 = -1 (closed circle)

Also, the region between endpoints is shaded.

This means that the endpoint is a union inequality

So, we have the compound inequality to be

Endpoint 1 ≤ x ≤ Endpoint 2

This gives

-5 ≤ x ≤ -1

Hence, the compound inequality for the graph is -5 ≤ x ≤ -1

Read more about compound inequality at

https://brainly.com/question/1485854

#SPJ1

Ben’s annual salary is £22000. He spends 15% of this on rent. How much is his rent per month

Answers

22000 x 0.15 = 3300

3300/12 = £275 per month

Answer:

£275

Step-by-step explanation:

To find how much Ben's rent is per month, we first have to find how much Ben spends on rent annually (every year). We can do this by multiplying his annual salary by the percentage spent on rent.  

22000 · 0.15 = 3300

Now that we know Ben spends 3300 on rent a year, we can divide that amount by 12 (the number of months in a year) to find out how much his rent is per month.

3300 / 12 = 275

Alisa drove from her house to the beach at a speed of 55 miles per hour. If it took her 1.8 hours to get to the beach, about how many miles away from the beach is Alisa's house?

Answers

Alisa's house is about 99 miles from the beach

What is speed?

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

With above formula, we can determine the distance of Alisa's house from the beach. Details below

How to determine the distance

The following data were obtained from the question:

Speed = 55 miles per hourTime = 1.8 hoursDistance =?

The distance of Alisa's house from the beach can be obtained as followed:

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 55 × 1.8

Distance = 99 miles

Thus, Alisa's house is about 99 miles from the beach

Learn more about speed:

https://brainly.com/question/680492

#SPJ1

The distance between the beach and Alisa's house is 99 miles.

About how many miles away from the beach is Alisa's house?

Here we need to use the general relation:

Distance = Speed*Time.

Here we know that Alisa's speed is 55 miles per hour, and she drives for 1.8 hours, then we can replace:

Speed = 55 mi/h

Time = 1.8 hours

Replacing that in the distance relation we will get:

D = (55 mi/h)*(1.8 h)= 99 mi

The distance between the beach and Alisa's house is 99 miles.

If you want to learn more about speed:

https://brainly.com/question/4931057

#SPJ1

solve the following 4x-1/2 = x + 7 and 3x + 2 = 2x+13/3

Answers

Answer:

a. 2.5  

b. 2.333

c. 2.85

Step-by-step explanation:

A) 1. subtract -x on both sides              2. to get 3x-1/2=7  

3. Add 1/2 on both sides                    4. to get 3x=7.5    

5. divide 3 on both sides                   6. To get... x=2.5

B)1. Same process.                               2. x+2=13/3        

3. x=13/3-2                                         4. x= 2.33(repeating)

C) 1. same process.                           2. 2x-x/3=3+7/4

3. 2x-x/3=4.75                                  4. Isolate -x/3  

5.-x/3=4.75-2x                                    6. multiply both sides by 3          

7. -x=14.25-6x                                      8. 5x=14.25

9. x= 2.85

* remember to distribute the 3 to each variable.

Answer:

1) 4x-1/2 = x + 7

Answer : x=5/2

2) 3x + 2 = 2x+13/3

Answer: x=7/3

Step-by-step explanation:

1) 4x-1/2 = x + 7

Solution

Let's solve your equation step-by-step.

4x−1/2=x+7

Step 1: Simplify both sides of the equation.

4x+−1/2=x+7

Step 2: Subtract x from both sides.

4x+−1/2−x=x+7−x

3x+−1/2=7

Step 3: Add 1/2 to both sides.

3x+−1/2+1/2=7+1/2

3x=15/2

Step 4: Divide both sides by 3.

3x/3=15/2/3

x=5/2

2) 3x + 2 = 2x+13/3

Solution

Let's solve your equation step-by-step.

3x+2=2x+13/3

Step 1: Subtract 2x from both sides.

3x+2−2x=2x+13/3−2x

x+2=13/3

Step 2: Subtract 2 from both sides.

x+2−2=13/3−2

x=7/3

The product of two consecutive positive integers is 110. Find the value of the lesser
integer.

Answers

Wouldn’t it be 10 and 11? As 10 & 11 are consecutive and both positive integers. And if multiplied, it equals 110. Your answer is 10 (I think)

when w=3 , x=2 , y= -4 , z= -2

wx/2 +y

Answers

Answer:

=-1

Step-by-step explanation:

3x2/2 + -4

6/2 + -4

3 + (-4)

=-1

Answer:

-1

Step-by-step explanation:

Brackets

Indicies

Division

Multiplication

Addition

Subtraction

3 × 2/2 + -4

no brackets. no indicies.

Division

2/2 = 1

3 × 1 + -4

Multiplication

3 × 1 = 3

Addition

3 + -4 = -1

the distance a falling object travels towards the earth is directly proportional to the square of the time that it falls. if an orange falls 16 feet in 4 seconds, how far will it fall in 8 seconds ?

Answers

The orange will fall 64 feet in 8 seconds.

Distance:

Distance is defined as how much ground an object has covered despite its starting or ending point.

Given,

The distance a falling object travels towards the earth is directly proportional to the square of the time that it falls.

And an orange falls 16 feet in 4 seconds.

Here we need to find the how far it will fall in 8 seconds.

Based on the given details,

We know the that distance is,

D = kt²  

where

k is the constant of proportionality.  

To find the value of k we have to apply the given values on the equation.

=> 16 = k x (4)²

=> 16 = k x 16

=> k = 16/16

=> k = 1.

So, in 8 seconds it will fall at

=> D = 1 x (8)²

=> D = 1 x 64

=> D = 64 feet.

Therefore, the orange will fall at 64 feet in 8 seconds.

To know more about Distance here

https://brainly.com/question/15172156

#SPJ4

Rectangle ABCD has coordinates of A(-5,5) B(-5,-3), C(6,-3), D(6,5). If the rectangle is dilated using a scale factor of 1.5 how long is side AD

Answers

The length of the side AD after undergoing a dilation using a scale factor of 1.5 as required in the task content is; 16.5.

What is the length of the side AD after a dilation using 1.5 scale factor?

To evaluate the length of side AD prior to the transformation which involves a dilation.

The distance between two points is given by;

D = √((y2 - y1)² + (x2 x1)²)

It follows that the lengths of the pre-image can be determined as follows;

AD = √((-5-6)² + (5 -5)²)

AD = √(-11)² + 0²

AD = √121

AD = 11

Ultimately, upon undergoing a dilation using a scale factor of 1.5, the length of AD becomes; 11 × 1.5

Hence, AD = 16.5.

Read more on dilation;

https://brainly.com/question/10253650

#SPJ1

Multiply (4x^2 +8)^2

Answers

Answer:

5/2 or 2.5

Step-by-step explanation

Five over two or two and 5 tenths

guys help please. Enter the value for x that makes the equation 5x-2+3+-7 HELP

Answers

Step-by-step explanation:

5x-2+3-7

0=5x-9+3

0=5x-6

6=5x

x=6/5

Evaluate. 7+2^2⋅6+2^3−6

Answers

The answer for 7 + 2^2 x 6 + 2^3 - 6 is 33.

The following figure shows the entire graph of a relationship. A coordinate plane. The x- and y-axes each scale by one. There is a vertical line graphed at x equals negative five. A coordinate plane. The x- and y-axes each scale by one. There is a vertical line graphed at x equals negative five. Does the graph represent a function? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer:

(Choice A) A Yes

Step-by-step explanation:

Rearrange Vf^2=Vi^2+2aX for Vi

Answers

Making Vi the subject of formula gives the following expression: Vi = √(Vf² - 2aX).

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

How to make Vi the subject of formula?

In this exercise, you're required to describe the steps that should be taken to rearrange and make Vi the subject of formula. Therefore, the appropriate and required steps are listed as follows:

Vf² = Vi² + 2aX

Subtracting 2aX from both sides of the equation, we have:

Vf² - 2aX = Vi² + 2aX - 2aX

Vi² = Vf² - 2aX

Taking the square root of both sides, we have:

Vi² = Vf² - 2aX

Vi = √(Vf² - 2aX)

Read more on subject of formula here: https://brainly.com/question/28418118

#SPJ1

Hanna's restaurant sells burrito bowls. The amount charged for a burrito bowl(b) is based on the cost for a plain taco plus an additional charge for each topping (t) as shown in the equation

B(t) = 0.25t +6
(A) If bill ordered a burrito bowl with 4 toppings how much would it cost.

(B) if Paul spent 7.50 how many toppings did he order

Answers

Answer:

The answer is 1

Step-by-step explanation:

The reason the answer is 1 its because 1 its a good number and everybody loves 1

2 Shape 1 and Shape 2 are congruent pentagons.
Shape 1
Shape 2
Shape 2 is congruent to Shape 1 because -
A.
Shape 2 is a translation of Shape 1.
B. Shape 2 is a reflection of Shape 1.
C. Shape 2 is a rotation of Shape 1.
D. Shape 2 and Shape 1 are both pentagons.

Answers

Option B) is correct that is shape 2 is congruent to shape 1 because shape 2 is reflection of shape 1.

We know that two figures or objects are congruent if they have the same shape and size or they are the mirror image of each other.

Translation : It simply means moving. Every point should be moved in same distance and in same direction

Rotation : It means turning around a center.

Reflection : In this, the image is of the same size as the pre-image.

So according to the given figure we can see that the shape is not translated or rotated from a center but is reflected as shape 1 is the image of shape 2.

Hence shape 2 is congruent to shape 1 because shape 2 is reflection of shape 1.

Learn more about congruency here :  https://brainly.com/question/20880990

#SPJ9

State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
(Please Answer with good details)

Answers

Answer:

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income = US$ 7,846.40

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 7,846

Full-time worker = 4 weeks of 40-hour per month

Part-time worker = 2 weeks of 40-hour per month

2. Let's calculate the minimum monthly income and hourly wage per worker

Full-time worker hourly wage = Monthly costs/160

Part-time worker hourly wage = Monthly costs/80

Full-time worker hourly wage = 7,846/160

Part-time worker hourly wage = 7,846/80

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Full-time worker minimum monthly income = Hourly wage * 160

Part-time worker minimum monthly income = Hourly wage * 80

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income = US$ 7,846.40

help pls i don’t know this

Answers

just pick a because you need to learn

Solve -7+2(-4x-3)=11. Justify each step

Answers

Answer:

x=-3

Step-by-step explanation:

Let's solve your equation step-by-step.

−7+2(−4x−3)=11

Step 1: Simplify both sides of the equation.

−7+2(−4x−3)=11

−7+(2)(−4x)+(2)(−3)=11(Distribute)

−7+−8x+−6=11

(−8x)+(−7+−6)=11(Combine Like Terms)

−8x+−13=11

−8x−13=11

Step 2: Add 13 to both sides.

−8x−13+13=11+13

−8x=24

Step 3: Divide both sides by -8.

−8x

−8

=

24

−8

x=−3

a fort has enough food for 80 soliders for 60 days how long will the food lasts if 20 more solidets join after 15 days​

Answers

Answer:36

Step-by-step explanation: 36 days

A fort is provided with food for 80 soldiers to last for 60 days. After 15 days, the food is sufficient for 80 soldiers for (60 – 15) days = 45 days. After 15 days, 20 additional soldiers join the fort. = 36 days.

Answer:

Step-by-step explanation:

A fort has food for 80 soldiers to last for 60 days.

Next 15 days the food is for 80 soldiers (60 – 15) days = 45 days.

Next 15 days, 20 MORE soldiers join the fort. = 36

ASNWER: 36 DAYS

Given the functions f and g, explain why you cannot find f * g.
f = { (-1,7), (1,3), (3,4), (6,8), (7,0) }
g = { (0,1), (2, -6), (4,7), (5,1), (8, -1) }

Answers

Answer:

g={(0,1), (2,-6),(4,7),(5,1), (8,1) } its korrect now

Rewrite 20 − 4x^3 using a common factor.

4x(5 − x^2)
4(5 − 4x^3)
2x(10 − 2x^2)
2(10 − 2x^3)

Answers

Answer:

4x(5 − x^2)

Step-by-step explanation:

20 − 4x^3

= 4x(5 − x^2)

The equivalent expression after taking a common factor is,

⇒ 2 (10 - 2x³)

What is Mathematical expression?

The combination of numbers and variables by using sign addition, subtraction, multiplication and division is called Mathematical expression.

Given that;

The expression is;

⇒ 20 - 4x³

Now, Take common factor as;

⇒ 20 - 4x³ = 2 × 10 - 2 × 2x³

                 = 2 (10 - 2x³)

Thus, The equivalent expression after taking a common factor is,

⇒ 2 (10 - 2x³)

Learn more about the expression visit:

https://brainly.com/question/1852123

#SPJ2

Over line TU has a midpoint at M(5,5) . Point T is at (1,8). Find the coordinates of point U.

Answers

Using the midpoint formula, the coordinates of point U are: (9, 2).

How to Apply the Midpoint Formula?

The midpoint formula is: M[(x2 + x1)/2, (y2 + y1)/2]

Given the following:

Midpoint of TU is at: M(5,5)

Point T is at (1, 8), therefore, let:

M(5,5) = (x, y)

T(1, 8) = (x1, y1)

U(?, ?) = (x2, y2)

Plug in the values

M(5, 5) = [(x2 + 1)/2, (y2 + 8)/2]

5 = (x2 + 1)/2

10 = x2 + 1

10 - 1 = x2

9 = x2

x2 = 9

5 = (y2 + 8)/2

10 = y2 + 8

10 - 8 = y2

2 = y2

y2 = 2

The coordinates of point U are: (9, 2).

Learn more about the midpoint formula on:

https://brainly.com/question/13115533

#SPJ1

rita, john, and kareem sent a total of 92 text messages during the weekend. kareem sent 4 times as many messages as rita. john sent 10 fewer messages than rita. how many messages did they each send?

Answers

Rita, John, and Kareem sent  17, 7, and 68 messages, respectively.

Use algebraic expressions to solve this problem.

Let x, y, and z be the number of messages sent by Rita, John, and Kareem, respectively.

If Rita, John, and Kareem sent a total of 92 text messages during the weekend, then:

x + y + z = 92

If Kareem sent 4 times as many messages as Rita, then:

z = 4 * x

z = 4x

If John sent 10 fewer messages than Rita, then:

y = x - 10

Evaluating z = 4x and y = x - 10 to the first equation:

x + y + z = 92

x + (x - 10) + 4x = 92

x + x - 10 + 4x = 92

6x = 92 + 10

6x = 102

x = 17

Recall that y = x - 10:

y = 17 - 10

y = 7

And z = 4x:

z = 4(17)

z = 68

If x, y, and z are the number of messages sent by Rita, John, and Kareem, respectively, then Rita, John, and Kareem sent 17, 7, and 68 messages, respectively.

To learn more about algebraic expressions: https://brainly.com/question/17695139

#SPJ4

Which of the following shows the equation after the variables have been collected on the left and the constants have been collected on the right? −2x+13=−7x+28
−9x=15
5 x= 15
5x=41
−9x=41

Answers

It would be 5x= 15


-2x+13=-7x+28
-2x+7x=15
5x=15
5. 5
X=3

But the answer you’re looking for is (5x=15) :)
5x=15 is the answer……………

Please help ASAP
What is the prime factorization of 90?


2 × 3 × 5
2 × 3 × 5

2 × 2 × 3 × 5
2 × 2 × 3 × 5

2 × 3 × 3 × 5
2 × 3 × 3 × 5

2 × 5 × 9

Answers

Answer:

the prime factorizime of 90 is this 2 × 3 × 3 × 5 or 2 × 3² ×5

The average rain in Annette, Alaska, in September is 0.31 inch per day. How much rain falls over the course of an average September? (September has 30 days)

Answers

Answer:

9.3

Step-by-step explanation:

If it rains 0.31 in per day and there is 30 days in September that means you need to MULTIPLY

0.31

× 0.30

-----------------

0.30

9.30

-----------

9.6

Please look at ALL of the screenshots and answer correctly! 20 points that's half of all of mine<: there will be another half with it!!!! the link to it is https://brainly.com/question/28634975?answeringSource=feedPublic%2FhomePage%2F21

Answers

Answer:

1. 13^5

2. prime

3. 8

4. 13

5. 6

Over a period of 12 hours the temperature dropped 36 F. What was the average change in temperature in one hour?

Answers

This is a rate of change, as temperature decreases with an increase in time. Therefore, 36/12=3. So, your answer is 3 degrees per hour. This is because we must divide 36 (total) degrees into 12 equal parts (hours), to get the temperature per hour, and since 3•12=36, we know we are right.

Answer: dropped 3 degrees per hour
Other Questions
COMPARE AND CONTRAST: The Monkey's Paw, a short story, The Conjure-Man Dies, an excerpt from a novel, and The Graveyard Book, a graphic novel excerpt, have different story structures. How do these different structures contribute to the meaning of the texts? How do they impact the development of the plot? Compare and contrast how structure helps reveal the meaning of The Monkey's Paw against the Conjure-Man Dies or The Graveyard Book. Remember to support your ideas with evidence from the texts. Which liner function represents the line given by the point-slope equation y + 7 = -2/3(x + 6)? without clean water, more than 1a million women lose their lives every year. increased disease is apparent in the 44 million pregnant women with sanitation-related hookworm, which causes maternal anaemia and preterm births My mother said I cant go on the school trip. Unless Ned Flanders is a chaperone, because she trust him Brian is throwing a party. He needs 3/4 of a pound of hamburger meat for each person at the party. If 12 people are coming to the party, how many pounds of hamburger meat will Brian need to buy? 6. A triangle has a perimeter of exactly 24 units. Which of the following could be the vertices of the triangle(-1,3), (2, -1),(-1,-1)(6, 0), (6, 7), (0,7)(-1,-1), (-6, -13), (-9,-9)(-3,-4), (3,-4), (3,4) What was an advantage of farming on the Great Plains in the late 1800s?A. Plenty of rainfall made it easy to grow a variety of cropsB. There was plenty of inexpensive land available for homesteadersC. The region was close to large cities, markets, and ports on the East Coast.D. Native Americans could be hired as cheap farm labor. Red Team: Students wanted to show the importance of photosynthesis in their daily life, so they put a plant in isolation to test the amount of oxygen in its surroundings. What do you think they noticed ? How did that happen in your opinion ? if asked to evaluate the following expression (5x+25) for x=3,5,-5,0 how many different substitutions will you make? here are four sketches of substances. each sketch is drawn as if a sample of the substance were under a microscope so powerful that individual atoms could be seen. decide whether each sketch shows a sample of an element, a compound, or a mixture. You read an article online written by R. U. Foreal in National Geographic Kids. The article describes a biting insect that eats blood. The title of the article is "The Insect That Gets Under Your Skin!" How would you list the article on your "Works Cited" page? (7 points)Group of answer choicesA) National Geographic Kids. "The Insect That Gets Under Your Skin!" by R. U. Foreal. January 12, 2013. B) "The Insect That Gets Under Your Skin!" January 12, 2013. National Geographic Kids. Date accessed: April 11, 2013. C) Foreal, R. U., "The Insect That Gets Under Your Skin!" National Geographic Kids. January 12, 2013.Accessed: April 11, 2013. D) "The Insect That Gets Under Your Skin!" R. U. Foreal. National Geographic Kids. January 12, 2013. A peson on a vegetarian diet may have issues getting enough of this nutrient. question 8 options: The rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half life of 78 minutes.Suppose in a particular patient the concentration of this drug in the bloodstream immediately after injection is 1.1 ug/mL. What will the concentration be 156 minutes later? Whale rider analysis After rock y is released from rest several seconds after rock x is released from rest, what happens to the separation distance s between the rocks as they fall but before they reach the ground, and why? take the positive direction to be downward. define labor in an economic way Let F(x)=x2-19 and G(x) = 14-xFind (F/G)(-3) john loke belived in the social contact which proposed what a: people have the right to life liberty and happinessb: people took an oath to be loralty to the king or c: divine was right justification alone for proper goverment In the poem THE TIGER BY WILLIAM BLAKE?Q)How has William Blake woven the concept of evil representation through the animal tiger. Bob fenced in his backyard. the perimeter of the yard is 22 feet, and the length of his yard is 5 feet. use the perimeter formula to find the width of the rectangular yard in inches: p = 2l 2w. (1 foot = 12 inches)