The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?

The Group Of Points {(0, 1), (0, 5), (2, 6), (3, 3)} Is Not A Function, But The Group Of Points {(1,

Answers

Answer 1

You can use the definition of a function to classify which mapping is a function and which mapping is not a function.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

What is a function?

There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.

Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.

So, for a mapping to be function, we need each input to be mapped to only one output.

Using above definition

For group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.

For group 2, we see that each input has only one output, thus,this group represents a function.

Remember that we assumed that the pair of points were written as

(input, output)

Thus.

The first group is not a function as there are two outputs for 0

The second group is a function as there are single output to each input.

Learn more about functions here:

https://brainly.com/question/13395697


Related Questions

Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?​

Answers

Answer:

First take 5 empty. Digits.The no of digits are 9 (1-9).The last no must be even so . The total no of even no’s . Are 4 (2,4,6,8)The probability of last digit is 4There are remaing 8 digits so. Place them where. U required. The probability are. 8, 7,6,5(no reputations)The final answer is 4*8*7*6*5=6720 ways

Answer:

0.444    (44.4%)

Step-by-step explanation:

All possible ending: 1,2,3,4,5,6,7,8,9        ... 9

ending with 2,4 6,8 to make even number: 4

                                                  ___   ___  ___  ___  ___

even number :                              8   *   7   *   6  *   5  *   4

All 5 digit without repeating:        8   *   7   *   6  *   5  *   9

possibility = (8*7*6*5*4) / (8*7*6*5*9)

                = 4/9

                = 0.444    (44.4%)

_______________________________________________

(4 * ₈P₄) / (9 * ₈P₄) = 4/9

Type the correct answer in each box.

The slope of the line shown in the graph is ___, and the y-intercept of the line is ___.

Answers

Answer:

The slope (or gradient) is 0.6 and the y-intercept is 6.

The slope is 0.67 and the y-intercept is 6

2 2/7 multiplied by 5 1/6

Answers

Answer:

11 17/21

Step-by-step explanation:

Answer:

11 17/21

Step-by-step explanation:hope i helped

1985 x 99 I already know the answer: 196515

Answers

Answer:

196515

Step-by-step explanation:

Answer:

196515

Step-by-step explanation:

Algebra 1
What is the greatest possible error for a measurement of 4 inches?
inches


Answers

3 inches is the answer I got

1+3+5+...+X=441
X=? ​

Answers

Answer:

559

Step-by-step explanation:

Hello can anyone help me with these problems please and ty

Answers

12. x= 4

13. x= 4

14. x= -1

Check the steps in the picture above

what is the expression to 50 times the sum of 64 and 36

Answers

Answer:

50(64+36) this would be your answer

50 x (64+36)

Step-by-step explanation:

According to PEMDAS, you will have to solve 64 + 36 first, so you need to put them in the parenthesis. Next, simply multiply by 50.

help me with this question plz

Answers

Answer:

2

Step-by-step explanation:

you tell me true ya false

What is an equation of the line that passes through the points (-4, -5) and (-2, -6)?

Answers

Answer: [tex]y=-\frac{1}{2}x-7[/tex]

Ok done. Thank to me :>

ChallengE
See attachment and answer :)​

Answers

QuestionSimplify:

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

Answer :

[tex]\displaystyle{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}[/tex]

Step-by-step-explanation:

We have given an expression.

We have to simplify the expression.

The given expression is

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16\:\times\:3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

We know that,

[tex]\displaystyle{\boxed{\pink{\sf\:\sqrt{a\:\times\:b}\:=\:\sqrt{a}\:\times\:\sqrt{b}\:}}\:\cdots\sf\:a\:,\:b\:\geq\:0}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16}\:\times\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\times\:4\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

We know that,

[tex]\displaystyle{\boxed{\blue{\sf\:\sqrt{\dfrac{a}{b}}\:=\:\dfrac{\sqrt{a}}{\sqrt{b}}\:}}\:\cdots\sf\:b\: > \:0}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{\sqrt{1}}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{1}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\sqrt{3}\:\times\:2\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\times\:2\:\sqrt{3}\:\times\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}} \\ \\\displaystyle{\implies\sf\:\dfrac{32\:\times\:3\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{8\:\times\:4\:\times\:3\:-\:5\:+\:(\:6\:\sqrt{3}\:\times\:2\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:6\:\times\:2\:\times\:\sqrt{3}\:\times\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:12\:\times\:3\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:12\:\times\:3}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:+\:12\:\times\:3\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:(\:8\:+\:3\:)\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:\times\:11\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{132\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}\:\times\:\dfrac{\sqrt{3}}{\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{2\:\times\:3}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{6}} \\ \\ \\ \displaystyle{\therefore\:\underline{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}}[/tex]

WILL GIVE BRAINLIEST

Answers

Answer:

it is d

Step-by-step explanation:

I GIVE BRAINLEST !! PLS SLOLVE

Answers

Answer:

√6/2+1

Step-by-step explanation:

multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1

Convert the equation to polar form. (Use variables r and as needed.)
x2 − y2 = 12

Answers

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

The area of any rectangular shape is given by the product of its width and length. If the area of a particular
rectangular garden is given by A = 15x°-35x and its width is given by 5x, then find an expression for the
garden's length.

Answers

The expression that can be used to find the

garden's length is l = 5x(x - 7) / 5x where l = (x - 7)

Given:

Area of a rectangle = 15x² - 35x

Width of the rectangle = 5x

Length of the rectangle = l

Area of the rectangle = length × width

15x² - 35x = l * 5x

Factor out the left hand side

5x(x - 7) = l * 5x

Divide both sides by 5x

5x(x - 7) / 5x = l

x - 7 = l

Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x

Learn more about area of a rectangle:

https://brainly.com/question/14137384

What is the value of x + y when x is the additive identity and y = 5?
O 5
O There is not enough information to determine the value.
O - 5
O 0

Answers

Answer:

-5.

Step-by-step explanation:

5 + -5 = 0, so i's -5.

need this soon please

Answers

Answer: pretty sure -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

(-80) - (-10) is -79

-70 / (+10) = -7

14 divided 4 and 7/8 written in simplest form

Answers

Answer:

7 and that is its simplest form

Step-by-step explanation:

thank me later

Answer:

4

Step-by-step explanation:

14 ÷ 4 = 3.5

3.5 and 7/8 = 4

At the beginning of a basketball season, the Panthers won 20 games out of 80 games. At this rate, how many games will they win in a normal 100-game season?

games

Answers

They will win 25 games in 100 game season at that rate.Since they win 5 games out of every 20.

The answer is 25

Need help asap! I would appreciate it soo much if your answered.

Answers

Answer:

Step-by-step explanation:

The point of closest approach is on a line perpendicular to the zip line

perpendicular lines have negative reciprocal slopes, so the perpendicular line has slope (8/3)

y = (8/3)x + b

adding our known point (3, 16)

16 = (8/3)3 + b

b = 8

y = (8/3)x + 8

now find where the two lines intersect by solving two equations with two unknowns

y = (-3/8)x + 8

as the two lines have a common y intercept of 8, that is the common point

(0, 8)

The distance from (0, 8) to (3, 16) is

d = √((3 - 0)² + (16 - 8)²) = √73 = 8.5440037453...

d = 8.5 ft

The perimeter of the shape is

feet.

Answers

Answer:

This doens't realy make sense dude

What shape ??????????,

PLS HELP HELLLLLOPPPPPP PLEASSSS BRO IM LITERALLY GONNA CRY

Answers

Answer:

F The last option

{ n = 7 h - 2}

{ n = 4 h - 2}

Step-by-step explanation: I HOPE THIS HELPS

Answer:

it's

n=2h+4

n=2h+7

(and vice versa)

The given represent 7 necklace and 4 necklace,that means add it to the no.of necklace they can make every hour and that is 2. So the correct equation is in the above answers.

Step-by-step explanation:

I hope it helps you a lot dude lovelots

#LEARN WITH BRAINLY

Help help help math math

Answers

Answer:

25%

Step-by-step explanation:

multiply it by 100 over 1 then divide the top by the bottom.

Compare the investment below to an investment of the same principal at the same rate compounded annually.

principal: $1,000, annual interest: 6%, interest periods: 6, number of years: 14 more than the investment compounded annually.

After 14 years, the investment compounded periodically will be worth $ ____(Round to two decimal places as needed.)​

Answers

After 14 years, the investment will be worth $ 2,306.72.

Given that an investment has a $ 1000 principal, 6% annual interest, 6 interest periods and 14 years of investment, to determine, after 14 years, how much the investment will be worth, the following calculation must be performed:

1000 x (1 + 0.06 / 6) ^ 14x6 = X 1000 x 1.01 ^ 84 = X 1000 x 2.3067 = X 2,306.72 = X

Therefore, after 14 years, the investment will be worth $ 2,306.72.

Learn more about maths in https://brainly.com/question/15603792

been trying for an hour, need help

Answers

By using tangents u can get the answer

Sin45degre = x divided by root 5

Answer:

[tex]\sqrt{\frac{5}{2} }[/tex]

Step-by-step explanation:

We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).

The sides are a, b (which equals a) and, c (which equals a*square root of 2).

In this triangle we are given c, and tasked at finding a. Since c= [tex]a*\sqrt{2}[/tex], then we know that, [tex]\sqrt{5}= a*\sqrt{2}[/tex].  Divide the equation by square root of 2 to find a. Which equals [tex]\sqrt{\frac{5}{2} }[/tex]

Divide 7 divided by 3/5

Express your answer in simplest form.

Answers

Answer:

35/5

Step-by-step explanation:

7/1 divded by 3/5. flip 3/5 to its reciprocal so it becomes 5/3, then times 7/1 by 5/3

35/5 hope this help!!

During a Lynx basketball game, the ratio of baskets made to baskets attempted was 2 to 3. The Lynx made 88 baskets. How many baskets did they attempt?

Answers

He attempt 100 basket

According to the website www.olx.uz, monthly rent for a two-bedroom apartment has a mean of
$250 and a standard deviation of $100 in the city of Andijan. The distribution of the monthly rent does not
follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample
of 40 two-bedroom apartments and finding the mean to be at least $275 per month?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of $250, hence [tex]\mu = 250[/tex].The standard deviation is of $100, hence [tex]\sigma = 100[/tex].The sample is of 40 apartments, hence [tex]n = 40, s = \frac{100}{\sqrt{40}}[/tex].

The probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month is the p-value of Z when X = 275, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{275 - 250}{\frac{100}{\sqrt{40}}}[/tex]

[tex]Z = 1.58[/tex]

[tex]Z = 1.58[/tex] has a p-value of 0.9429.

1 - 0.9429 = 0.0571

0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Find the slope of the line below:

Answers

Answer:

[tex]\bold{m=-\frac{2}{5}}[/tex]

Step-by-step explanation:

Slope

First, we have to find two points that hit the graph at the right place:

[tex](0,4)[/tex]

[tex](10,0)[/tex]

Then, we plug the value into the slope formula:

[tex]\sf{Slope\:formula:\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{0-4}{10-10}[/tex]

Now, we can solve:

[tex]\frac{0-4}{10-0}\\\\=\frac{-4}{10}\\\\\bold{m=-\frac{2}{5}}[/tex]

Therefore, the slope of the line is [tex]-\frac{2}{5}[/tex]

Find the missing side in the similar figures below

Answers

Answer:

e

Step-by-step explanation:

24*5/3=40

The answer would be E. Trust me on this one
Other Questions
Two positive numbers are in the ratio 2 : 3. Find the numbers if (a) their sum is 55 and (b) their product is 384. Twas the night before christmas was originally published under what name? Calculate the mass percentage of each element in aluminum oxide. Using supporting evidence, what makes Macavity a Mystery Cat? Cite/quote TWO different lines from the poem that clearly develop this central idea. Macavity the Mystery Cat by T.S. EliotMacavity's a Mystery Cat: he's called the Hidden Paw -For he's the master criminal who can defy the Law.He's the bafflement of Scotland Yard, the Flying Squad's despair:For when they reach the scene of crime - Macavity's not there!Macavity, Macavity, there's no one like Macavity,He's broken every human law, he breaks the law of gravity.His powers of levitation would make a fakir stare,And when you reach the scene of crime - Macavity's not there!You may seek him in the basement, you may look up in the air -But I tell you once and once again, Macavity's not there!Macavity's a ginger cat, he's very tall and thin;You would know him if you saw him, for his eyes are sunken in.His brow is deeply lined with thought, his head is highly domed;His coat is dusty from neglect, his whiskers are uncombed.He sways his head from side to side, with movements like a snake;And when you think he's half asleep, he's always wide awake.Macavity, Macavity, there's no one like Macavity,For he's a fiend in feline shape, a monster of depravity.You may meet him in a by-street, you may see him in the square -But when a crime's discovered, then Macavity's not there!He's outwardly respectable. (They say he cheats at cards.)And his footprints are not found in any file of Scotland Yard's.And when the larder's looted, or the jewel-case is rifled,Or when the milk is missing, or another Peke's been stifled,Or the greenhouse glass is broken, and the trellis past repair -Ay, there's the wonder of the thing! Macavity's not there!And when the Foreign Office find a Treaty's gone astray,Or the Admiralty lose some plans and drawings by the way,There may be a scrap of paper in the hall or on the stair -But it's useless to investigate - Macavity's not there!And when the loss has been disclosed, the Secret Service say:`It must have been Macavity!' - but he's a mile away.You'll be sure to find him resting, or a-licking of his thumbs,Or engaged in doing complicated long-division sums.Macavity, Macavity, there's no one like Macavity,There never was a Cat of such deceitfulness and suavity.He always has an alibi, and one or two to spare:At whatever time the deed took place - MACAVITY WASN'T THERE!And they say that all the Cats whose wicked deeds are widely known(I might mention Mungojerrie, I might mention Griddlebone)Are nothing more than agents for the Cat who all the timeJust controls their operations: the Napoleon of Crime! Mali became known in Asia, Europe, and other parts of Africa when Mansa Musa did what? Which string method returns true if the character is a numeric character? letter = input("Enter a letter: ") A. isDigit(letter) B. isdigit(letter) C. letter.isDigit() D. letter.isdigit() Which of the following best describes the relationship between the employers and the workers in the text?ATheir relationship became more equal and fair with the introduction of better technology.BEmployers often took advantage of workers' labor, pay, and living conditions to benefit their business.CSome, though not all employers provided their employees with nearby housing at affordable rates.DWorkers often formed unions to force their bosses to make changes, accidentally sending factory progress into decline.o Which equation shows a proportional relationship between x and y?A. y = 3x + 1B.y= 4xC.y = -3x - 2D.y=9 5. The Summerville Swimming Pool is in the shape of a rectangle. It is 80 feet long and 40 feet wide. What is the perimeter of the pool, in feet? Consider how things went this semester for you and how you think you have done in your classes What is the equation for a photosynthesis??????????????? A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long. At what angle is the sun above the horizon at that time? Please look for the question in the picture. choose the correct answer for the given statement :Relationship of TR and MR in perfect competition (i) TR > MR(ii) TR = MR(iii) TR < MR(iv) None of the above PLEASE HELP ME IN THIS QUESTION THE ASSIGNMENT IS DUE IN 2 MINUTES Which statement explains the primary cause of the Cold War between the United States and the Soviet Union?A. The two nations were enemies during both world wars, and the rivalry carried over into peace time.B. The two nations specialized in similar products and were competitions in the international trade market.C. The two nations had opposing political, economic, and social ideologies.D. The two nations disagreed on the establishment of the United Nations. approximately how many calories are in a banana that has 20 grams of carbohydrate? Please answer this question fast look at the diagram of the bicycle chain and the cogs above. Explain in detail why you exert a force on the pedals, but you still obey the law of conservation of energy. 28. Which category is zero NOT a part of?NYA. WholeB. IntegersC. RationalD. Natural