{(2, 1). (-4, 5), (1, 7), (2, -3), (-1,2)}
Domain and Range​

Answers

Answer 1

The Domain of a relation is the set of all allowable inputs. It is all the x-values in the (x, y) points determined by the relation.

The Range of a relation is the set of the resulting outputs. It is all the y-values in the (x, y) points determined by the relation.

Now, the given relation is {(2, 1). (-4, 5), (1, 7), (2, -3), (-1,2)}

The Domain of the given relation will be

= {2, -4, 1, -1}

And the Range of the relation will be

= [1, 5, 7, -3, 2]

Know more about Domain and Range: - https://brainly.com/question/28709539

#SPJ9


Related Questions



Solve for y.
1+ 2y = 11.08 +0.2y

Answers

2y-.2y=10.08
1.8y=10.08
y=5.6

Answer:

y=5.6

Step-by-step explanation:

1 + 2y = 11.08 +0.2y

Move the values w/ y all to one side and the ones without to the other side

1+ 2y = 11.08 + 0.2y

-0.2y             - 0.2y

-1        -1

1.8y=10.08

Divide by 1.8

y=5.6

2x+4=3x-2 solve for x

Answers

Answer:

x = 6

Step-by-step explanation:

2x + 4 = 3x - 2

2x - 3x = -2 - 4

-x = -6

x = 6

Answer:

x = 6

Step-by-step explanation:

We are given this equation:

2x + 4 = 3x - 2

And we want to evaluate the equation for x.

To do this, we need to isolate the variable (x) on one side of the equation.

We can start by putting the numbers on one side.

We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.

2x + 4 = 3x - 2

     -4          -4

___________________

2x = 3x - 6

Now, let's put the variables on the other side.

Subtract 3x from both sides.

2x = 3x - 6

-3x   -3x

______________

-x = -6

Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.

-x is the same as -1x, or -1 * x.

So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.

Let's multiply both sides by -1.

-1(-x) = -1(-6)

x = 6

The value of x is 6.

how can you apply the Laws of Exponents to evaluate expressions that include integer exponents?

Answers

Exponent rules are those laws that are applied to exponent-based expressions to make them simpler. The principles of exponents make it simple and rapid to execute numerous arithmetic operations like addition, subtraction, multiplication, and division. These guidelines are also useful for reducing the complexity of numbers that have complex powers incorporating fractions, decimals, and roots.

Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These guidelines are useful for reducing the complexity of expressions whose exponents are decimals, fractions, irrational numbers, or negative integers.

When an exponent is a negative number, we apply the negative law of exponents. This rule states, "The reciprocal should be taken to convert any negative exponent into a positive exponent." The change in sign of the exponent values moves the expression from the numerator to the denominator.

Learn more about Exponents here:

brainly.com/question/109611

#SPJ9

Given the system of equations:

6x + 2y = −6
3x − 4y = −18

Solve for (x, y) using elimination.

(0, −3)
(−1, 0)
(−2, 3)
(−14, −6)

Answers

Answer:

(- 2, 3 )

Step-by-step explanation:

6x + 2y = - 6 → (1)

3x - 4y = - 18 → (2)

multiplying (1) by 2 and adding to (2) will eliminate y

12x + 4y = - 12 → (3)

add (2) and (3( term by term to eliminate y

15x + 0 = - 30

15x = - 30 ( divide both sides by 15 )

x = - 2

substitute x = - 2 into either of the 2 equations and solve for y

substituting into (1)

6(- 2) + 2y = - 6

- 12 + 2y = - 6 ( add 12 to both sides )

2y = 6 ( divide both sides by 2 )

y = 3

solution is (- 2, 3 )

Answer:

(-2, 3)

Step-by-step explanation:

p(z) = 3r+4
q(z) = 2z²
Find p (q(z))

Answers

The value of the function p (q(z)) is  6z² +4 .

By considering the given functions

p(z) = 3r+4

q(z) = 2z²

p (q(z))= p(  2z²)

p (q(z))= 3(2z²)+4

p (q(z))= 6z² +4

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function domain and codomain, respectively. a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

Learn more about functions here

https://brainly.com/question/25638609

#SPJ9

HELP ASAP
BX bisects

Answers

Answer: 124 degrees ==> Option 3

Step-by-step explanation:

ABC=ABX+XBC

ABX=XBC     ==> bisected angles are equal since when an angle is bisected, it is divided into two equal angles. Hence:

ABC=XBC*2

ABC=62*2

ABC=124 degrees ==> Option 3

Whats the answer to this question?

Answers

Answer:

option A

Step-by-step explanation:

f+an=g Solve for 'a'.

Answers

Answer:

a= [tex]\frac{g-f}{n}[/tex]

Step-by-step explanation:

First, start off by subtracting f from both sides. This gives you "g - f" and you are left with "an." Now, to isolate the variable, we must divide "n" from both sides and you will get "a= g - f/n," which is the final answer.

Hope this helps! :D

pls solve this question step by step solution.​

Answers

Answer:

42, 12)

Step-by-step explanation:

Let the present ages of the father and son be x years and y years respectively.

According to the question,

Condition I,

Three years ago the sum of the ages of the father and his son was 48 years.

or,(x−3)+(y−3)=48

or,x−3+y−3=48

or,x−6=48−y

or,x=54−y - (i)

Condition II,

Three years hence the father's age will be three times the son's age,

or,(x+3)=3(y+3)

or,x+3=3y+9 - (ii)

Put value of x from equation (i) in equation (ii), we get,

or,(54−y)+3=3y+9

or,54−y=3y+9−3

or,54−6=3y+y

or,48=4y

or,y=484

∴y=12

Put the value of y in equation (i), we get,

or,x=54−12

∴x=42

So, (x,y) = (42, 12)

Therefore, the required present ages of the father and the son are 42 years and 12 years respectively.

is y=x+8 a inverse variation

Answers

It should be noted that y=x+8 is not an inverse variation.

What is an inverse relation?

The relationships between variables that are expressed in the form of y = k/x, where x and y are two variables and k is a constant number, are known as inverse variations. According to this statement, if the value of one item rises, the value of the other quantity falls.

Ab example is when a constant of variation is k = xy = 5(2) = 10 if y changes inversely as x and x = 5 when y = 2. Consequently, xy = 10 is the equation that describes this inverse variation.

Therefore, it should be noted that y=x+8 is not an inverse variation.

Learn more about variation on:

https://brainly.com/question/13998680

#SPJ1

Haley has a monthly fee of $20

Answers

The domain and range of the function C(m) the equation for is  mathematically given as

Dc=[0,\infty)

This is further explained below.

What are the domain and range of the function C(m)?

Generally, The domain and the range of a function are as follows: The values that are assumed by an input are referred to as a function's domain, while the numbers that are assumed by the outputs are referred to as the function's range.

In this question:

C(m)=0.05m+20

The input, denoted by the letter m, is the number of phone calls, and this value might be anything between 0 to an unlimited amount. So

The domain is Dc=[0,\infty)

The value of C(0) is equal to 20 when the input m is set to 0. As m grows, so does C (m). What this indicates is that:

The range is: Rc=[20,\infty)

Read more about the domain

https://brainly.com/question/28135761

#SPJ1

CQ

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?

What is 6(4-z)=2z ?

Thanks for the help!

Answers

Answer:

z=3

Step-by-step explanation:

A student measured the mass of a rock as 20 g. But the actual mass of the rock is 30 g. What was the student's percent deviation?

Answers

Answer:

33.3%

Step-by-step explanation:

%error =error/actual value*100

=30-20/30*100

=10/30*100

=33.3%

Solve please? I'm struggling haha

Answers

Answer:

Hello,

Answer d

Step-by-step explanation:

Since x=y then 3v-1=2v+6 ==> v=7

Answer d

given the following list of tips (in dollars) earned in the last hour by waiters in a japanese restaurant, find the median. 30,17,47,47,26,17,36,31,21,17

Answers

The median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.

What is the Median of a Data?

]The median of any given data set is the data value that lies at the center of the data set when ordered.

Given the data set, 30,17,47,47,26,17,36,31,21,17, order the data set from the least to the greatest:

17, 17, 17, 21, 26, 30, 31, 36, 47, 47

The center or middle of the data set is 28.

Thus, the median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.

Learn more about the median on:

https://brainly.com/question/26177250

#SPJ1

Jai drove 225 miles in 5 hours. On average, how fast did he drive, in miles per hour?

Answers

225 divided by 5 (hours) = 45. Each hour driven was 45 miles driven.
45mph

What is the value of​ n? 9.6x10^9=(2x10^5)(4.8x10^n)

Answers

[tex]9.6\times 10^9~~ = ~~(2\times 10^5)(4.8\times 10^n)\implies \cfrac{9.6\times 10^9}{2\times 10^5}~~ = ~~4.8\times 10^n \\\\\\ \cfrac{9.6}{2}\times \cfrac{10^9}{10^5}~~ = ~~4.8\times 10^n\implies 4.8\times 10^{9-5}~~ = ~~4.8\times 10^n \\\\\\ 4.8\times 10^4~~ = ~~4.8\times 10^n\implies \cfrac{4.8\times 10^4}{4.8}=10^n\implies \cfrac{4.8}{4.8}\times 10^4=10^n \\\\\\ 1\times 10^4=10^n\implies 10^4=10^n\implies 4 = n[/tex]

A model of an aircraft is 3/5 the length of the original plane. The model is 24.96 feet long. How long is the original plane?

Answers

If the model is 3/5th of original plane then the length of the original plane is 41.6 feet.

It is given in the question that the model of an aircraft is 3/5th the length of the original plane.

So, Let the length of the original plane be x feet.

According to the question

3/5th of x is 24.96

[tex]x\times\frac{3}{5} =24.96[/tex]

Multiplying both sides by 5

3x=24.96*5

3x=124.8

Dividing both sides by 3

x=124.8/3

x=41.6

Hence , the value of x is 41.6 feet.

Therefore , if the model is 3/5th of original plane then the length of the original plane is 41.6 feet.

Learn more about Fractions here

https://brainly.com/question/324898

#SPJ1

Kristin parked in a different parking garage that charges 5.75 per hour she was charges 34.50 for parking. how many hours did she park her car at the garage

Answers

six hours i believe.

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

The number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be D. A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

How to illustrate the information?

It should be noted that a number line is used to illustrate the intervals between the numbers given.

Therefore, the number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be a number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right

In conclusion, the correct option is D.

Learn more about number line on:

brainly.com/question/24644930

#SPJ1


[tex]x {}^{2} + 2x + 6 = 0[/tex]
please give me answer.....​

Answers

Answer:

[tex]\sf x = -1 + \sqrt{5}\:i,\: -1 - \sqrt{5}\:i[/tex]

Explanation:

[tex]\sf \rightarrow x^2 + 2x +6 = 0[/tex]

[tex]\sf use\:quadratic\:formula: x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \: \: ax^2 + bx + c = 0[/tex]

comparing identify:

a = 1, b = 2, c = 6

Substitute inside the formula:

[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{2^2 - 4(1)(6)}}{2(1)}[/tex]

evaluate:

[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{4 - 24}}{2}[/tex]

[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{- 20}}{2}[/tex]

[tex]\rightarrow \sf x = \dfrac{ -2 \pm 2\sqrt{5}\:i}{2}[/tex]

[tex]\rightarrow \sf x =-1 \pm \sqrt{5}\:i[/tex]

[tex]\rightarrow \sf x = -1 + \sqrt{5}\:i,\: -1 - \sqrt{5}\:i[/tex]

What is the greatest common factor of 56,72,100

Answers

Answer:

4

Step-by-step explanation:

56/4=14

72/4=18

100/4=25

4 has to be the biggest common factor.

Pls help, Idc if you answer 1 I have j and k done already It is just the rest.

Answers

Answer:

L: (4,0) and L': (2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I messed up on P'

I drew it as -3,3 but it should be -3,2

Which is what i wrote it as

Please answer the question in the photo [ Brainliest + points ]

Answers

Answer:

26 i believe 66 - 40 = 26 hope this helps

The answer should be 40


Lakisha has a -56 balance on her credit card. She makes two additional charges to pay $32 for gas and $15 for parking. Then she makes a credit
card payment of $50. What is her remaining balance?

Answers

Add 32 and 15 you get 47

Subtract 47 from -56 and you get -103

Since she makes a credit card payment of 50$

You add 50 to -103 and you get -53 which would be your answer.

what is the formula of a²-b²​

Answers

Answer:

a^2-b^2=(a + b) (a - b) is the formula

Determine midpoint of two points using Midpoint Formula
(2,7) and (6, 13).

Answers

Answer:

Midpoint are 4,10

Step-by-step explanation:

x midpoint - 4

y midpoint - 10

midpoint formula (x1 + x2)/2 , (y1 + y2)/2

(2+8)/2, (7+13)/2

4,10

Full Explanation

[tex] M = (x_M, \; y_M) [/tex]

[tex] M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) [/tex]

[tex] M = \left(\dfrac{2 + 6}{2}, \; \dfrac{7 + 13}{2}\right)[/tex]

[tex] M = \left(\dfrac{8}{2}, \; \dfrac{20}{2}\right)[/tex]

[tex] M = (4, \; 10)[/tex]

a) Which of shapes A, B, C and D is congruent to shape E?
E
A
B
с
b) Which other two shapes (from A, B, C and D) are congruent to each other?

Answers

Answer:

A) E

B) Shape A and E

(i think)

The graph of a linear function is shown
Which word describes the slope of the line?
positive
negative
zero
lundefined

Answers

The slope of the line is zero.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope or gradient. In the coordinate plane, it represents the slope of the line.

In the general equation of a line y= mx + c , m denotes the slope of the line.Slope of a line is calculated by the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex] If a straight line makes an angle θ with the positive x-axis then the slope of the line is given by m = tanθ

From the given figure we can see that the line is parallel to the x-axis.

Any line parallel to the x-axis is given by the general equation y = a .

This equation can also be written as:

y = 0 x + a.

Comparing the above equation with the general equation of a straight line  y = mx + c

we see m = 0 and c = a (a is a constant)

Hence the slope of the line is 0.

To learn more about slope visit:

https://brainly.com/question/16180119

#SPJ9

Find the value (2x + 9) (7x + 24)

Answers

Based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.

What is the Corresponding Angles Theorem?

The corresponding angles that are formed when two parallel lines are intersected by a transversal are congruent, according to the corresponding angles theorem.

Given that lines m and n are parallel lines that are intersected by transversal t, therefore:

2x + 9 = 7x + 24

Solve for x

2x + 9 - 9 = 7x + 24 - 9 [subtraction property of equality]

2x = 7x + 15

2x - 7x = 7x + 15 - 7x [subtraction property of equality]

-5x = 15

-5x/-5 = 15/-5 [division property of equality]

x = -3

Therefore, based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.

Learn more about the corresponding angles theorem on:

https://brainly.com/question/5221905

#SPJ1

Other Questions
I need help 1/1/5+(3/5)= A blogger found that the number of visits to her Web site increases 5.6% annually. The Web site had 80,000visits this year. Write an exponential model to represent this situation. By what percent does the number ofvisits increase daily? Explain how you found the daily rate. in the u.s., the average life expectancy at birth for european americans and african americans is now equal. vivienne is the ceo of a multinational company that produces mass-market, low-cost toys for children with sensory processing challenges. the company's workforce is grouped into their specific skills and tasks, such as finance, sales, development and production. what form of business structure is used by vivienne's company? Evaluate 4|-2| - |-3|5-511 What is the average atomic mass of a sample of Calcium, if you have 37atoms of Calcium-40 and 10 atoms of Calcium-41? corporate environmental accounting practices measure resource use and communicate the cost of a companys impact on the environment. increasingly widespread. The melody of a piece of music is? How many 4/13 pound boxes of cereal can be made from 11,804 pound of cereal? How does a prism separate white light into the different colors that compose it?. Show that the roots of the quadratic equation given by(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0are real and they can not be equal unless a=b=c For the following choose from:ACT, extracurricular activities, community activity, financial aid, or SAT?__________participating in athletics such as tennis, football, swimming, golfing, etc.__________loans, grants, scholarships.__________test that includes a science reasoning section.__________test that is preferred by students who live on the East and West Coasts.__________helping build a new local playground or delivering books to patients in a hospital What is the mean and the median of 2, 4, 6, and 8? A suspension of yeast supplied with glucose as its source of energy was transferred from an aerobic environment to an anaerobic one. Which result would you predict for the rate of glucose utilization and the rate of ethanol production after the transfer? assume that the yeast must expend the same amount of energy to survive in both environments. Marna is researching the United States Supreme Court case Bush v. Gore. Which of the following sources should she avoid because it is not credible? The length of a rectangle is 6 inches longer than its width. What are the possible widths if the area of the rectangle is at least 667 square inches? Which of the following is arranged in the order of increasing levels of organization? Jonah read 5 1/2 chapters in his book in 90 minutes. How long did it take hto read one chapter? mylab finance with pearson etext -- access card -- for fundamentals of corporate finance, 5th edition on october 1, borrowed $12 million cash from second commercial bank under the line of credit and issued a five-month promissory note. interest at the prime rate of 10% was payable at maturity. management planned to issue 10-year bonds in february to repay the note.