What is the range of the relation shown below?
{(-1, -3), (5, 5), (2, 2), (3, 0)}

Answers

Answer 1
(-1,-3) is the smallest and (5,5) is the largest. you have to subtract them.

Answer 2

The range of the function is given by R = { -3 , 5 , 2 , 0 }

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function relation be represented as set A

Now , the value of set A is given by

Set A = { (-1, -3), (5, 5), (2, 2), (3, 0) }

Now , the range is the set of outputs of a relation

So , it is the set of all possible y values in the relation

Substituting the values in the equation , we get

So , the range of the relation is set R = { -3 , 5 , 2 , 0 }

Therefore , the value of R is { -3 , 5 , 2 , 0 }

Hence , the range of the function is { -3 , 5 , 2 , 0 }

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Related Questions

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Answers

Answer:

B. 1.828 meters

Step-by-step explanation:

Please I need help or I’m gonna fail If you can help me with other questions please comment

Answers

Answer:

48cm

Step-by-step explanation:

96/12=8

This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

8x6=48

16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17

Answers

the answer is d . 17
The answer to this question is C

6
There are 2 rectangular windows in Ms.
Ridley's dining room. One window is 31 inches
wide and 32 inches tall. The other window is
27 inches wide and 32 inches tall. What is the
difference in the areas of the windows in Ms.
Ridley's dining room?
8 square inches
4 square inches
132 square inches
128 square inches

Answers

Answer:

128 square inches

Step-by-step explanation:

Window one's area is 31 times 32 which is 992 in^2

Window two's area is 27 times 32 which is 864 in^2

Subtract 992 from 864 to get the difference

Cost to store: ?
Markup: 15%
Selling price: $85.10

Answers

Answer:

115% = 85.10

divide both sides by 115 to find 1%

1% = 0.74

now multiply both sides by 100 to find 100%

100% = 74

cost price = $74

Plz help need help please

Answers

Answer:40 teenagers

Step-by-step explanation:

To find the answer to this question, you would have to divide 2000(amount of people) by 100 to find the amount of people for 1%. After you find that, you would multiply the answer by 2.  Equation: 2000÷100= 20 · 2= 40.

40 teenagers

So we know that to find the answer to this question, you would have to divide 2000(amount of people) by 100 to find the amount of people for 1%.

After you find that, you would multiply the answer by 2.  

Equation: 2000÷100= 20 · 2= 40.

Final result: 40

Two of the desserts are sugar/free. Three of the drinks are sugar-free. A meal deal combination is selected at random. Work out the probability that both the desserts and the drink are sugar free. Give your answer as a fraction

Answers

Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

The probability of selecting a sugar free dessert and drink is 2/5

Number of sandwiches = 6

Number of dessert = 3

Number of drinks = 5

Sugar free drinks = 3

Sugar free dessert = 2

Recall :

Probability = required outcome / Total possible outcomes

P(both dessert and drink are sugar free) :

(sugar free dessert) × p(sugar free drink)

(2 /3) × (3 / 5) = 6/15 = 2 / 5

Hence, the probability of selecting a sugar free dessert and drink is 2/5

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Help Meeeeeeee!!!!!! please please please
Last year 27% of the people who applied to a graduate school were accepted. The graduate school accepted 648 people last year.


How many people applied to the graduate school last year?

A 2,400

B 175

C 823

D 1,752

Answers

648x 0.27=174.96
648+175=823
823 people applied

Find the product. Write your answer as a decimal 0.01(4.6)(-200) =

Answers

Answer:

I believe the answer is -9.2

Step-by-step explanation:

To find the quo 2/5 divided 1/4.

Answers

Answer:

A. Multiply 2/5 by 4

Step-by-step explanation:

Because when you dividend fraction

1,write the reciprocal of the second fraction number and multiply with the first fraction number

2,multiply the numerators and denominators of both fraction..

the reciprocal of 1/4 is 4/1 =4so the answer is 2/4 by4

Answer:

Step-by-step explanation:

Ghhhhhjhhbhhhhu

Have you ever done something and regretted it literally 2 seconds later
Well I have
I decided it would be a good idea to eat a small bag of takis
somehow forgetting that I literally cant eat spicy food without crying
so I ate the bag and now I feel like I am dying
so thank you for listening to my ted talk

Answers

Answer:

sos

Step-by-step explanation:

Select the correct answer.
Which statement is true about the y-intercept of a quadratic function?
O A. A quadratic function can only have one y-intercept.
OB. A quadratic function can have up to two y-intercepts.
OC. The y-intercept is also called a zero of the function.
OD. The y-intercept is located at the point where the value of yis 0.

Answers

Answer: Every quadratic has a (single) y-intercept. The reason for this is that the y-intercept is the function value at x = 0, and we can always substitute x = 0 into the quadratic. Thus, the y-intercept of the quadratic function y = ax2 + bx + c is c.

Step-by-step explanation:

y = 2(x – 3)2 - 4
Convert to standard form

Answers

Answer:

4x - y = 16

Step-by-step explanation:

y = 2(x – 3)2 - 4

When written in standard form, this will be the answer --->

4x - y = 16

Answer:

y = 2x² - 12x + 14

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL

  = 2(x² - 6x + 9) - 4 ← distribute parenthesis

  = 2x² - 12x + 18 - 4

y  = 2x² - 12x + 14 ← in standard form

Have to find x,y and z

Answers

Answer:

x=2, y=5

Step-by-step explanation:

the triangle that x is in is a right triangle (don't remember the theorem sorry)

use pythagorean theorem (a^2 + b^2 = c^2)

x is the hypotenuse(c)

1 squared plus /3 squared =c squared

1+3= c squared

4= c squared

c=2

x=2

find y using pythagorean theorem as well

/12 squared plus 2 squared = y squared

y is the hypotenuse

12+4=y squared

16= y squared

4=y

add one to account for that extra little piece

y=5

... I don't see z

Answer:

y= if it is the hypoteneuse for the whole triangle it √16 or 4, if it is the side of the smaller triangle it is 3

x=√4 which is 2

z= I don't think ther's a z

20 POINTS! 2 + 4n = 11. What is the answer?

Answers

Answer:

I think the answer would be n = 9/4

A couch was originally priced at $800.00. The sale price is 25% off. Find the discount.

Answers

Answer:

The price after the discount is $600

The amount discounted off is $200

Step-by-step explanation:

Graph y-4=2x and identify
the slope and y-intercept.

Answers

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

Answer:

s- 2       y int- 4

Step-by-step explanation:

How do I solve this using substitution? Please write down the steps too.
6x+5y=-16
y=7x+5

Answers

Answer: x = -1 and y = -2

Step-by-step explanation:

You are given two expressions that have a relationship. There are two ways to solve this problem, but I will be going over the easy way. I'm assuming you know how to solve for one variable such as x? Well we can put the y varaible from the first equation in terms of x, from the second equation. Ill show you what I mean:

6x + 5(7x + 5) = -16

I replaced y in the first one in terms of x, so that we can solve just for x.

6x + 35x + 25 = -16

41x +25 = -16

41x = -41

x = -1

Now simply find y by plugging the now known x value into either equation

y = 7(-1) + 5

y = -2

Answer:

x = -1

y = -2

(  -1, -2 )

Step-by-step explanation:

6x + 5y = -16

They gave us what "y" is and its....

y = 7x + 5

We substitute the "y" in the equation with this "y = 7x + 5

"

6x + 5y = -16

6x + 5(7x + 5) = -16

Now we need to use the distributive property (multiply what is in the parenthesis by "5")

6x + 5 * 7x + 5 * 5 = -16

6x + 35x + 25 = -16

Combine Like Terms ( 6x and 35x)

41x + 35 = -16

Subtract 25 on both sides

41x + 35 - 25 = -16 - 25

41x = -41

Divide by 41 on both sides to isolate the variable

41x/41 = -41/41

x = -1

Now that we have what "x" is (-1) we can use that to find out what "y" is.

y = 7x + 5

Substitute the x with -1

y = 7x + 5

y = 7(-1) + 5

y = -7 + 5

y = -2

x = -1

y = -2

( x, y )

( -1, -2 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

4. Hakim buys n kg of rice. Vanu buys 2 kg more rice than Hakim. Kevin buys
one-fifth of the amount of rice that Vanu buys.
(a) Find the total amount of rice that Hakim and Kevin buy altogether.

Answers

Rice bought by
Hakim : n kg
Vanu : n+2 kg
Kevin : 1/5(n+2) kg

Hakim + Kevin : n + 1/5(n+2)
= n + (n+2)/5
= n/5n + n^2+2n/5n
= n+n^2+2n/5n
= 3n + n^2/5n
= 3+n/5

what is the mesuement for y

Answers

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

Which is the word in English
that has nine letters and
remains a word at each step
even when you remove one
letter from it, right up to a
single letter remaining. List
each letter as you remove
them, along with the resulting
word at each step.

Answers

Answer:

startling

Step by step:

remove the l, and the word becomes: starting

remove one t, and the word becomes: staring

remove the a, and the word becomes: string

remove the r, and the word becomes: sting

remove the other t, and the word becomes: sing

remove the g, and the word becomes: sin

remove the s, and the word becomes: in

remove the n, and the word becomes: I

5(x-2)= 3(x+4)

What is the answer to this equation?

Answers

Answer:

x = 11

Step-by-step explanation:

5x-10=3x+12

5x-3x=12+10

2x=22

x =11

The answer to this equation is x=11

5(x-2) = 3(x+4)

5x-10 = 3x+12
-3x -3x

2x-10 = 12
+10 +10

2x = 22

x= 11

Hope this helps :)

You are buying a Lego set. Target has it listed for $34.99 which is 70% of the original price. What is the original cost of the Lego set? You are buying a Lego set. Target has it listed for $34.99 which is 70% of the original price. What is the original cost of the Lego set?

Answers

Answer:

Original price = $49.98

Step-by-step explanation:

Target has it listed for $34.99 which is 70% of the original price.

Let the original price be x.

ATQ,

[tex]70\%\ of\ x=34.99\\\\x=\dfrac{34.99\times 100}{70}\\\\x=\$49.98[/tex]

So, the original price of the Lego set is $49.98.

hi pls help i’ll give brainliest if you give a correct answer

Answers

Answer:

0.47..................

Step-by-step explanation:

..........

There are 12 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

That would be:

6/12 x 100
= 50%

Therefore 50% of the fruits are apples.
50% of the fruits are apples

A triangle has one side that measures 1 foot and another side that measures 20 inches. What are possible lengths of the third side? (Select all that apply.)
6 inches
13 inches
28 inches
36 inches​

Answers

Answer:

The correct options for the possible lengths of the third side are;

13 inches

28 inches

Step-by-step explanation:

The given lengths of two sides of the triangle are;

The length of one side of the triangle = 1 foot = 12 inches

The length of the other side of the triangle = 20 inches

The question can be solved by the triangle inequality theorem as follows;

A + B > C

B + C > A

A + C > B

Let the given sides be A = 12 inches and B = 20 inches

We have;

12 + 20 = 32 > C

Therefore, by the triangle inequality theorem, the third side, 'C', is less than 32 inches

Similarly, when C = 6 inches, we have;

A + C = 12 + 6 = 18 < B = 20

Therefore, the third side cannot be 6 inches

when C = 13 inches, we have;

A + C = 12 + 13 = 25 > B = 20

Therefore, the third side can be 13 inches

when C = 28 inches, we have;

A + C = 12 + 28 = 30 > B = 20

Therefore, the third side can be 28 inches

Based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.

The Triangle Inequality Theorem

The triangle inequality theorem states that, sum of the length of any two sides of a given triangle = length of the third side.

Given the measures,

1 ft = 12 iches20 inches

The possible third side must make the three set of numbers conform to the triangle inequality theorem.

Thus, for 13 inches, we have:

13 + 12 > 20; 12 + 20 > 13; 20 + 13 > 12

Also, for 28 inches, we have:

28 + 12 > 20; 12 + 20 > 28; 20 + 28 > 12

Therefore, based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.

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Mary Beth needs a 90% on her final exam to get an A for the quarter. The exam has 80 questions. How many questions does Mary need to answer correctly in order for her to get an A?

Answers

Answer: 72

Step-by-step explanation:

From the question, we are informed that Mary Beth needs a 90% on her final exam to get an A for the quarter and that the exam has 80 questions.

The number of questions does that Mary need to answer correctly in order for her to get an A would be 90% of 80. This will be:

= 90% × 80

= 90/100 × 80

= 72

She must get 72 to get a A.

-x + 7y = 8 if x equals 6

Answers

Answer:

y=2

Step-by-step explanation:

-6+7y=8

7y=8+6

7y=14

y=2

y=2 is the answer for that

If a certain cannon is fired from a height of 9.8 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.

Answers

Answer:

6.53 s

Step-by-step explanation:

The height of the cannon ball is represented by a quadratic function as:

h(t) = -4.9t² + 30.5t +9.8.

At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8

That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:

h(t) = -4.9t² + 30.5t +9.8

It touches the ground when h(t) = 0. Hence:

0 = -4.9t² + 30.5t + 9.8

Solving the above quadratic equation gives:

t = 6.53 s and t = -0.31 s

Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.

To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent decrease for calorie intake?

Answers

Answer:

22%

Step-by-step explanation:

The change in calories = 1950 - 2500 = -550

percent decrease for calorie intake = (change in calories / initial calorie intake ) x 100

[tex]\frac{-550}{2500}[/tex]  X 100 = -22%

Answer:

22%

Step-by-step explanation:

i did the quiz

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