State the domain and range of the following relation: {(2,4), (-1,8), (4,-2), (5,6), (2,-2)}. State whether the relation is a function.

Answers

Answer 1

The domain is {2, -1, 4, 5} and the relation is not a function

How to determine the domain?

From the question, we have the following parameters that can be used in our computation:

{(2,4), (-1,8), (4,-2), (5,6), (2,-2)}

The domain is the set of the x values

So, we have the following representation

x = {2, -1, 4, 5, 2}

Remove repeated entries

x = {2, -1, 4, 5}

So, the domain is {2, -1, 4, 5}

Also, the relation is not a function

This is because the x value 2 has several y values

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Related Questions

What is 36:216 simplified?

Answers

Answer : 1/6

Explanation : If 216 is divided by 36, you will get your answer 1/6.

What is 150,000,000 expressed in scientific notation? O 1.5 x 108 O 1.5 x 10-8 O 1.5 x 10° O 1.5 x 107

Answers

What is 150,000,000 expressed in scientific notation? O 1.5 x 108 O 1.5 x 10-8 O 1.5 x 10° O 1.5 x 107​

we have that

\(150,000,000=1.5\cdot10^8\)

!!!6TH GRADE!!! MATH DUE IN 15 MIN ***50 POINTS***
Elwin is attempting to read a 480 page book in 28 days. He reads the first 60 pages in 4 days. At this rate, will he finish the book in time? Show your work and/or explain your reasoning.

Answers

Answer : No, he won't

Step-by-step explanation:

Given

Target = 480 pages in 28 days

Rate = 60 pages in 4 days

Required:

Determine if he'll reach his target

The rate can be expressed using:

Rate = pages/days

So, we have:

Rate = 60 pages/ 4 days

Multiply the fraction by : that number are on pdf

This can be interpreted as: 420 pages in 28 days

And his target is 480 pages in 28 days

Hence, he wont finish the book at that rate

(hoped it helped)

!!!6TH GRADE!!! MATH DUE IN 15 MIN ***50 POINTS***Elwin is attempting to read a 480 page book in 28 days.

Answer:

if every 4 days it is 60 days it would have to be

60 pages 4 days

120 pages 8 days

180 pages 12 days

240 pages 16 days

300 pages  20 days

360 pages  24 days

420 pages 28 days

480 pages  32 days

No he will not finish in time

can i get the crown plz

Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two polygons congruent? Explain how you know.

(someone please help me!)

Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two

Answers

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rotation of 145° about the origin to map A to A'A reflection across the x-axis to map A' to A'A translation of four units to the right and one unit down

What is a rigid transformation?

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

The angle in the diagram in the question indicates the rotation of polygon A to produce polygon A' is a rotation of 145° about the origin.

Transformation from A' to A''

The coordinates of the vertices of triangle, A' (0.9, 4.1), (3.1, 5.9), (5.5, (2.5) and the vertices of triangle A'' (0.9, -4.1), (3.1, -5.9), (5.5, -2.5), indicates that the transformation is a reflection about the x-axis

Transformation from A'' to A'''

The arrow of the translation transformation indicates that the transformation is a translation of four units to the right and 1 unit down.

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How many times does 10,000 go into 700,000?

Answers

Answer:

i think its 700 hope it help

Step-by-step explanation:

the answer would be

70 times

Pls help me I can’t figure it out T^T incase the picture doesn’t work it says 14. write a real-world problem thats can be represented by the equation 3/4c=21?

Pls help me I cant figure it out T^T incase the picture doesnt work it says 14. write a real-world problem

Answers

Answer:

________________

How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?

________________

ж

Bryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he wanted to have four separate small gardens, each of them exactly the same size and shape. In other words, “congruent.” Remember, all four gardens must fit exactly within the shape of the property as shown below; you can’t change the dimensions of the property or move things around - you have to keep your design within the original shape. Bryce came up with an ingenious design that fit the client’s request exactly. Can you figure out what his design was?

Bryce, a top landscape architect, was given a special garden design job. The client owned a property

Answers

.........................................

A train travels 41 kilometers in 35 min. What is the speed in kilometers per hour ?

Answers

Step-by-step explanation:

\(distance = 41km\)

\(time = 35min = \frac{35}{60} hr\)

\(speed = \frac{distance}{time} \)

\(speed = \frac{41}{ \frac{35}{60} } \)

\(speed = \frac{41 \times 60}{35} \)

\(speed = 70.286 \: or \: 70.3km\hr\)

find the last digit of the sum

3³³+9 to the power of 99

Answers

The value of the given expression is  \(2.95\times10^{94}\).

The given expression is \(3^{33}+9^{99}\).

What is the exponent?

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression can be solved as follows:

\(3^{33}+9^{99}\)

= \(2.95\times10^{94}\)

Hence, the value of the given expression is  \(2.95\times10^{94}\).

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WILL GIVE BRAINLIEST
A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $120, and the club is charging $10 per student that attends.

Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 120 through the point 2 comma 100
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 120 through the point 2 comma 140
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 140
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 100

Answers

Graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 100

Decorations for the dance cost $120

the club is charging $10 per student that attends.

In the graph, the x axis is labelled with number of students and the y axis with amount of money collected

As they spend $120 for the decorations of the dance the starting point for the money raised is -120, upon charging 2 students the money they will get is 2 x 10 = 20

So the money raised will be

-120 + 20 = -100

The line will pass from point (0, -120) through (2, -100)

Therefore, graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 100 is correct.

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Answer:

Step-by-step explanation:

A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $100, and the club is charging $10 per student that attends.

Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?

what are the next two terms for the following sequence 1 , 8 , 27 , 64

Answers

Answer:

125 and 216

Step-by-step explanation:

Here,

a₁ = (1)³ = 1

a₂ = (2)³ = 8

a₃ = (3)³ = 27

a₄ = (4)³ = 64

So,

a₅ = (5)³ = 125

a₆ = (6)³ 216

Thus, The next two terms for the following sequence 1 , 8 , 27 , 64 is 125 and 216

-TheUnknownScientist

In this exercise, a verbal description of a function is given. Use a formula to express the function. Each time a certain balding gentleman showers, he loses 76 strands of hair down the shower drain. Write a formula that gives the total number N = N(S) of hairs lose.​

Answers

The formula that gives the total number N = N(S) of hairs lost is 76(S).

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Each time a certain balding gentleman showers, he loses 76 strands of hair down the shower drain.

This can be written as,

1 shower, 76 strands of hair were lost.

(1, 76)

2 showers, 152 strands of hair were lost.

(2, 152)

The total number of hairs lost.​

= N(S)

= 76(S)

Where S is the number of showers.

Thus,

The formula is 76(S).

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2. Write the absolute value of the following. a) | -6 -3 | . b) | 0 - 12 |.​

Answers

Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Write the math sentence as an equation: Negative nine times the sum of a number and 12.3 is 30.8 −9(r − 12.3) = 30.8 −9r + 12.3 = 30.8 −9r − 12.3 = 30.8 −9(r + 12.3) = 30.8

Answers

The required correct equation would be, -9(r + 12.3) = 30.8 where r is the unknown number.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

In the question, we are asked to form the equation with help of a given sentence.

According to the quesiton, Negative nine times the sum of a number, and 12.3 is
-9(r + 12.3)


The correct equation would be, -9(r + 12.3) = 30.8 where r is the unknown number.

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Pls help I'll mark the brainliest to the person who answers first.

Pls help I'll mark the brainliest to the person who answers first.

Answers

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus four would be n/12 + 4 and not 12/n + 4

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus 4 would be represented as n/12+4

I need help!!!!!!!!!

I need help!!!!!!!!!

Answers

Answer:

its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2

Answer:

When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.

Multiply b^2 * b^3 = b^5  (add the exponent 2 + 3 = 5)

Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)

Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)

b^2 * b*2 = b^4 (add exponents)

7b * b^2 = 7b^3 (add the exponents 1 + 2)

4 * b^2 = 4b^2

              b^2             +               7b             +        4

b^3           b^5              +           7b^4            +   4b^3

+                                                                                      

b^2           b^4             +           7b^3            + 4b^2

b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2

\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)

b^5 + 8b^4 + 11b^3 + 4b^2

Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.

Answers

Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

HELP ASAP ILL GIVE BRAINLIST

HELP ASAP ILL GIVE BRAINLIST

Answers

Answer:

(C) A diation followed by reflection

Step-by-step explanation:

if you dialate a shape then that shape can not be congruent to the previous one because it is not the same size, so it is similar but not congurent

Jason lives on 750m plot .express the size of his plot as a fraction of the hectare if 1 hectare =10000m​

Answers

By metric system it can be determined that Jasοn lives οn 0.075 hectare.

What is metric system?

The metric system is a prοcess οf measuring things. The measurements are used wοrldwide in calculatiοns and research. Sοme examples οf measurements οf things using the metric system are given belοw:

Meter is the unit οf measuring distances and lengths.

Kilοgram οr Gram is used tο measure weight.

Jasοn lives οn 750m plοt .

The given prοblem can be sοlved by metric system.

By metric system

1 hectare =10000m

10000m = 1 hectare

1m= 1/10000 hectare

750m= 750/10000 hectare

Hence,

Jasοn lives οn 0.075 hectare.

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Select the words for the number.
10.205

Answers

Answer:

Ten point two hundred and five is your answer

Step-by-step explanation:

Question 7
0 / 2 pts
On March 1, Imhoff Co. began construction of a small building. Payments of $267,596 were made monthly for several months. The payments begin on the first day of April; the last payment was made August 1. The building was completed and ready for occupancy on the first day of September. In determining the amount of interest cost to be capitalized, the weighted-average accumulated expenditures are
Y Correct Answer 334,495 margin of error +/- 5

Answers

The solution is : the weighted-average accumulated expenditures are $101,269.5.

Explanation:

Calculation to determine the weighted-average accumulated expenditures

Weighted-average accumulated expenditures=$202,539* (3/12 + 2/12 + 1/12)

Weighted-average accumulated expenditures=$202,539*0.5

Weighted-average accumulated expenditures=$101,269.5

Therefore In determining the amount of interest cost to be capitalized, the weighted-average accumulated expenditures are $101,269.5.

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A 13 km 13km13, start text, k, m, end text stretch of road needs repairs. Workers can repair 3 1 2 km 3 2 1 ​ km3, start fraction, 1, divided by, 2, end fraction, start text, k, m, end text of road per week. How many weeks will it take to repair this stretch of road?

Answers

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Solve the inequality.
r+ 4 - 2r - 14) > 0

Answers

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS

Parenthesis

Exponents

Multiplication

DIvision

Addition

Subtraction

Step 1

(r+4-2r-14)>0  equation/Question

Step 2

(r+4-2r-14)>0  Simplify to remove parenthesis

-r-10>0

Step 3

-r-10>0  Add 10 to sides

-r-10+10>0+10

-r>10

Step 4

-r/-1>10/-1  cross multiply (which also means divide)

answer

r<-10

10 points. please answer

10 points. please answer
10 points. please answer

Answers

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

What are similar triangles?

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Assume that the halting language \(H_T_M\) is reducible to
some language B (\(H_T_M\) \($\leq$\) \(_m\) B). Is it possible that is decidable? Answer true/false and explain. Please help me this answer?

Answers

H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

How to Interpret Machine Language?

A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.

Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.

Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .

S = “On input (M, B)

This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

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Figure ABCD is a parallelogram. Is it also a rhombus? Why or why not?
D
5m
B
5 m
C
OA. It cannot be determined, because a parallelogram with congruent
adjacent sides may or may not be a rhombus.
B. No, because all four sides are congruent.
C. Yes, because adjacent sides are congruent.
D. No, because adjacent sides are congruent.

Figure ABCD is a parallelogram. Is it also a rhombus? Why or why not?D5mB5 mCOA. It cannot be determined,

Answers

The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.

How to determine the true statement about the parallelogram

Given that

Figure ABCD is a parallelogram

Such that

Side lengths = 5 cm

This means that

The figure is a square

As a general rule

All squares can be classified as rhombus

This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length

Hence, the true statement is (c)

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25 POINTS HELP ME ASAPPPPPPPPPPPPPPPP!!!!!!

25 POINTS HELP ME ASAPPPPPPPPPPPPPPPP!!!!!!

Answers

Answer:

1/6?

Let's do it...

( (3^(3/4))/(3^(3/8)) )^4/9

According to indices rules here the denominator and numerator has the same base and they are dividing so the powers will subtract..... Its just a formulae not rocket science so don't freak out.

So ( 3^(3/4 - 3/8)) ^4/9

= ( 3^(3/8)) ^4/9

Again with indices rule the powers will multiply

Which will return us 3^1/6 which corresponds 3^x..... Hence x =1/6

Thank you

Answer :

\( \boxed{ \boxed{x = \frac{1}{6} }}\)

Solution :

\( \hookrightarrow \: {\bigg( \dfrac{3 {}^{ \frac{3}{4} } }{ {3}^{ \frac{3}{8} } } \bigg) }^{ \frac{4}{9} } \)

\( \hookrightarrow \: {(3 {}^{ \frac{3}{4} } \div 3 {}^{ \frac{3}{8} } ) } ^{ \frac{4}{9} } \)

\( \hookrightarrow \: {(3 {}^{ \frac{3}{4} - \frac{3}{8} } ) }^{ \frac{4}{9} } \)

\( \hookrightarrow \:{ (3 {}^{ \frac{3}{8} } ) }^{ \frac{4}{9} } \)

\( \hookrightarrow \: 3 {}^{ \frac{3}{8} \times \frac{4}{9} } \)

\( \hookrightarrow \: {3}^{ \frac{1}{6} } \)

therefore,

the required value of x is 1/6

I need help with this answer as well can someone help me quickly please?

I need help with this answer as well can someone help me quickly please?

Answers

Answer:

coffee costs $10

tea costs $4

Step-by-step explanation:

c = cost of package of coffee

t = cost of package of tea

11c + 14t = 166

30c + 30t = 420    factor out the 30 and rewrite this equation

30(c + t) = 420   solve for c, then substitute it into the 1st equation

c + t = 420/30 = 14

c = 14 - t

11(14 - t) + 14t = 166   now solve for t

154 - 11t + 14t = 166

3t = 166 - 154 = 12

t = 12/3 = 4  plug this into the 2nd equation and solve for c

30c + 30(4) = 420

30c = 420 - 120

c = 300/30 = 10

Answer:

Step-by-step explanation:

Let's use a system of equations to solve for the cost of each package. Let c be the cost of one package of coffee and t be the cost of one package of tea. Then we have:

Yesterday's sales: 11c + 14t = 166

Two days ago sales: 30c + 30t = 420

We can simplify the second equation by dividing both sides by 30:

c + t = 14

Now we can use substitution to solve for one of the variables. Let's solve for c by subtracting t from both sides of the simplified equation:

c = 14 - t

Substituting this expression for c into the first equation, we get:

11(14 - t) + 14t = 166

Expanding and simplifying, we get:

154 - 11t + 14t = 166

3t = 12

t = 4

So tea costs $4 per package. Substituting this value back into the simplified equation, we get:

c + 4 = 14

c = 10

Therefore, coffee costs $10 per package.

How many possible triangles? please help fast

How many possible triangles? please help fast

Answers

Answer:

one triangle

Step-by-step explanation:

m∠C=63∘,b=9,c=12

only 1 triangle is possible

Law of Sines

The Law of Sines states that when we divide the length of one side of a triangle by the sine of the opposite angle we obtain the same ratio as when we divide the length of another side of the triangle with the sine of the angle

Show your work, and graph the piecewise function below.

Show your work, and graph the piecewise function below.

Answers

For x ≤ -1, the function is given by f(x) = 4x + 1. This is a linear function with a slope of 4 and y-intercept of 1. The graph of this part of the function is a straight line passing through (0, 1) with a steep slope, extending towards negative x-values.

What is function?

In mathematics, a function is a rule that associates each element in one set (called the domain) to a unique element in another set (called the range). Functions are one of the most important concepts in mathematics and have a wide range of applications in various fields.

A function is usually denoted by a letter, such as f(x), where x is an element in the domain and f(x) is the corresponding element in the range. The domain of a function is the set of all possible values of x for which the function is defined, and the range is the set of all possible values of f(x).

To graph the piecewise function f(x), we will graph each part of the function separately.

For -1 < x < 2, the function is given by f(x) = -2x - 3. This is also a linear function with a slope of -2 and y-intercept of -3. The graph of this part of the function is a straight line passing through (-1, 1) with a gentle slope, extending towards positive x-values until it reaches x=2.

For x ≥ 2, the function is given by f(x) = 5. This is a horizontal line at y=5, which is a constant function. The graph of this part of the function is a horizontal line at y=5 starting from x=2.

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