What is the definition of a relation?
An association between two sets of data
Ordered pairs where each x-value is paired with only one y-value
The rules applied to a number
A set of data with a defined rule

Answers

Answer 1

Answer:

i did not understant your question

i think u want the definition of relation

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation. A function is a type of relation.

Step-by-step explanation:

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Answer 2

A relation is a collection of Ordered pairs where each x-value is paired with only one y-value.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of x for which [y] exists.

Given is the graph of a equation

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x, y) is in the relation.

Therefore, a relation is a collection of Ordered pairs where each x-value is paired with only one y-value.

To solve more questions on functions and relations, visit the link below -

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Related Questions

Please Show Your Work All My Points Please Help Me!!!!! 6x^2+8x-6=2-2x-2

Answers

Answer:

6x^2+10x-6=0

Step-by-step explanation:

First, you need to add all like terms:

6x^2+8x-6=-2x

Now move the -2x to the other side:

6x^2+10x-6=0

Answer:

x =(-5+√61)/6= 0.468

or:

x =(-5-√61)/6=-2.135

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x^2+8*x-6-(2-2*x-2)=0  

Step by step solution :

STEP 1 :

The Equation at the end of step 1

 (((2•3x2) +  8x) -  6) -  -2x  = 0  

STEP 2 :

STEP 3 :

Pulling out like terms

3.1     Pull out like factors :

  6x2 + 10x - 6  =   2 • (3x2 + 5x - 3)  

Trying to factor by splitting the middle term

3.2     Factoring  3x2 + 5x - 3  

The first term is,  3x2  its coefficient is  3.

The middle term is,  +5x  its coefficient is  5.

The last term, "the constant", is  -3  

Step-1: Multiply the coefficient of the first term by the constant   3 • -3 = -9  

Step-2: Find two factors of  -9  whose sum equals the coefficient of the middle term, which is   5.

     -9    +    1    =    -8  

     -3    +    3    =    0  

     -1    +    9    =    8  

Observation: No two such factors can be found !!

Conclusion: Trinomial can not be factored

The Equation at the end of step 3 :

 2 • (3x2 + 5x - 3)  = 0  

STEP 4 :

Equations which are never true:

4.1      Solve :    2   =  0

This equation has no solution.

A non-zero constant never equals zero.

Parabola, Finding the Vertex:

4.2      Find the Vertex of y = 3x2+5x-3

Parabolas have the highest or lowest point called the Vertex.   Our parabola opens up and accordingly has the lowest point (AKA absolute minimum).   We know this even before plotting  "y"  because the coefficient of the first term, 3, is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x-intercepts (roots or solutions) of the parabola. That is if the parabola has indeed two real solutions.  

Parabolas can model many real-life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that an object, thrown upwards, can reach. For this reason, we want to be able to find the coordinates of the vertex.  

For any parabola, Ax2+Bx+C, the x -coordinate of the vertex is given by  -B/(2A). In our case, the  x  coordinate is  -0.8333  

Plugging into the parabola formula  -0.8333  for  x  we can calculate the  y -coordinate :  

 y = 3.0 * -0.83 * -0.83 + 5.0 * -0.83 - 3.0

or   y = -5.083

Parabola, Graphing Vertex, and X-Intercepts :

Root plot for :  y = 3x2+5x-3

Axis of Symmetry (dashed)  {x}={-0.83}  

Vertex at  {x,y} = {-0.83,-5.08}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-2.14, 0.00}  

Root 2 at  {x,y} = { 0.47, 0.00}  

Solve Quadratic Equation by Completing The Square

4.3     Solving   3x2+5x-3 = 0 by Completing The Square.

Divide both sides of the equation by  3  to have 1 as the coefficient of the first term :

  x2+(5/3)x-1 = 0

Add  1  to both side of the equation :

  x2+(5/3)x = 1

Now the clever bit: Take the coefficient of  x, which is  5/3, divide by two, giving  5/6, and finally square it giving  25/36  

Add  25/36  to both sides of the equation :

 On the right-hand side we have :

  1  +  25/36    or,  (1/1)+(25/36)  

 The common denominator of the two fractions is  36   Adding  (36/36)+(25/36)  gives  61/36  

 So adding to both sides we finally get :

  x2+(5/3)x+(25/36) = 61/36

Adding  25/36  has completed the left-hand side into a perfect square :

  x2+(5/3)x+(25/36)  =

  (x+(5/6)) • (x+(5/6))  =

 (x+(5/6))2

Things which are equal to the same thing are also equal to one another. Since

  x2+(5/3)x+(25/36) = 61/36 and

  x2+(5/3)x+(25/36) = (x+(5/6))2

then, according to the law of transitivity,

  (x+(5/6))2 = 61/36

We'll refer to this Equation as  Eq. #4.3.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+(5/6))2   is

  (x+(5/6))2/2 =

 (x+(5/6))1 =

  x+(5/6)

Now, applying the Square Root Principle to  Eq. #4.3.1  we get:

  x+(5/6) = √ 61/36

Subtract  5/6  from both sides to obtain:

  x = -5/6 + √ 61/36

Since a square root has two values, one positive and the other negative

  x2 + (5/3)x - 1 = 0

  has two solutions:

 x = -5/6 + √ 61/36

  or

 x = -5/6 - √ 61/36

Note that  √ 61/36 can be written as

 √ 61  / √ 36   which is √ 61  / 6

Solve Quadratic Equation using the Quadratic Formula

4.4     Solving    3x2+5x-3 = 0 by the Quadratic Formula.

According to the Quadratic Formula,  x, the solution for   Ax2+Bx+C  = 0, where  A, B,  and  C are numbers, often called coefficients, is given by :

                                     

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    5

                     C   =   -3

Accordingly,  B2  -  4AC   =

                    25 - (-36) =

                    61

Applying the quadratic formula :

              -5 ± √ 61

  x  =    —————

                   6

 √ 61, rounded to 4 decimal digits, is   7.8102

So now we are looking at:

          x  =  ( -5 ±  7.810 ) / 6

Two real solutions:

x =(-5+√61)/6= 0.468

or:

x =(-5-√61)/6=-2.135

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)

find the length of the missing of the missing triangle. Round your answer to the nearest tenth. Show your work​

Answers

Answer:

17.32 cm

6.21 cm

Step-by-step explanation:

a^2+b^2=c^2

a^2+22^2=28^2

a^2=300

6^2+4^2=c^2

c=6.21

Hopefully this helps!

Which system of equations is represented by this graph?

Answers

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[tex]y = 2x + 3[/tex]

[tex]y = - \frac{1}{2} x - 3 \\ [/tex]

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someone pls help and dont troll

Answers

Answer: A

Step-by-step explanation:

2x + 9 = 15

2x = 6

x = 3

2x+9 = -15

2x = -24

x = -12

2x+9=15 or 2x+9=-15

- Case 1: 2x+9=15. Then 2x=15-9=6. Thus, x=3.
- Case 2: 2x+9=-15. Then 2x=-15-9=-24. Thus x=-12.

Hence x=3 or x=-12.

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

15

Step-by-step explanation:

its the same as the other angle on there

Answer:

15

Step-by-step explanation:

They are alternate exterior angles, meaning they are the same!!

A company that makes hair-care products had 9,000 people try the new shampoo. Of the 9,000 people, 36 had a mild allergic reaction. Wht percent of the people had a mild mild allergic reaction?

Answers

Answer:

0.4% of the people had a mild allergic reaction.

Step-by-step explanation:

You can find the percent of the people that had a mild allergic reaction using a rule of three as you know that 9,000 people tried the new shampoo which would be the 100% and you can find the percent that represents 36 people:

9,000 → 100%

  36    →   x

x=(36*100)/9,000

x=0.4%

According to this, the answer is that 0.4% of the people had a mild allergic reaction.

Solve each triangle using the information provided. If necessary, round to the
nearest tenth.

Answers

Answer:

1) B = 66.5° c = 10.9

Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

So b = 180 - (90 + 23.5) = 180 - 113.5

b = 66.5

It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.

without using mathematical tables or calculators, evaluate 0.09 * 1.21 / 3.3 * 0.00024 leaving your answer in standard form(scientific notation)​

Answers

Answer:

Step-by-step explanation:

[tex]0.09* \frac{1.21}{3.3}*0.00024= 0.09 * \frac{1.21*10}{3.3*10}*0.00024\\\\=0.09*\frac{12.1}{33}*0.00024\\\\= 0.09 * \frac{1.1}{3}*0.00024\\\\= 0.09 * 1.1 * 0.00008[/tex]

= 0.00000792

= 7.92 * [tex]10^{-6}[/tex]

I FORGOT HOW TO DO THIS I NEED HELP ASAP!!!

Answers

Slope form: y=mx + b
slope is 2/5, fill into equation
Y = 2/5x + b
Plug in point to find b
1 = 2/5(0) + b
1 = 0 + b, b = 1
The answer is A. Y = 2/5x + 1

Logan weighed two buckets of sand for a geology project. The first bucket weighed 5.19 pounds. The other bucket weighed 9.01 pounds. How much do the two buckets of sand weigh all together?

Answers

Answer:

14.2

Step-by-step explanation:

you just have to add both of the numbers shown in the question

pls help Solve for m. -7+4m+10=15-2m

Answers

Answer:

m=2

Step-by-step explanation:

Answer:

[tex]m=2[/tex]

Step-by-step explanation:

[tex]-7+4m+10=15-2m[/tex]

Isolate the variable m. Combine like terms (-7+10):

[tex]3+4m=15-2m[/tex]

Subtract 3 from both sides (inverse operations):

[tex]3-3+4m=15-3-2m\\\\4m=12-2m[/tex]

Add 2m to both sides (inverse operations):

[tex]4m+2m=12-2m+2m\\\\6m=12[/tex]

Divide both sides by 6 to isolate m (inverse operations):

[tex]\frac{6m}{6} =\frac{12}{6} \\\\m=2[/tex]

Since this cannot be further simplified, m is equal to 2.

:Done

Prove that DE is parallel to BC.
Please help, will award brainliest.

Answers

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

To find D and E use the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then

D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and

let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then

E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )

Use the slope formula to find slopes of DE and BC

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then

[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then

[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Since the slopes are equal then DE and BC are parallel lines

Anwser


I know he anwsered it but I really want to level up so can you please give me Brainliest

Solve for x -1/2x < -12

Answers

Answer:

x < 24

Step-by-step explanation:

-1/2x < -12

1) Isolate x!

-1/2x < -12

×-2 ×-2

x < 24

ethansledd17 come here! what is 300 divided by 5?

Answers

Answer:

60

Step-by-step explanation:

WILL GET 15 POINTS AND MARKED BRAINLINESt


1. Create your own expression that contains at least one operation and one variable.


example: 5x


2. Describe a situation that your expression can model.


example: x represents the price of a pound of grapes, in dollars. Cheryl buys 5 pounds of grapes. The cost of Cheryl's grapes can be modeled by 5x

Answers

Answer:

4x+5

Step-by-step explanation:

4x represents making 4 dollars per hour and 5 represent the amount of money you began with

Answer:

1) 2x

2) x represent how many candy a person have

2 is the amount of person

The total candy canbe modeled by 2x

Step-by-step explanation:

Are You Ready for More?
AB is parallel to CD.
Determine the value of x.
Use the sketch tool if it helps you with your thinking.
А
B
degrees
50°
Submit
o
30°
С
D

Answers

The answer would be B

which measurement is a reasonable height for a child? Explain your choice
A.
[tex]1.39 \times {10}^{2} cm[/tex]
B.
[tex]8.3 \times {10}^{5} cm[/tex]
C.
[tex]1.48 \times {10}^{1} m[/tex]

Answers

Answer:

A

Step-by-step explanation:

because a is 139cm and child is 139 cm not 830000 or not 1.48

A for sure
If you multiple 1.39 times 10 squared you get 139cm which is about 54in.


b) The circumference of a circular field is 220 m.
(i) Find its diameter and radius.
(ii) Find the cost of paving stones all over it at Rs 25 per sq. m.​

Answers

Answer:

sorry I don't know 2...

But first I can tell....

Step-by-step explanation:

circumference = 220m

To Find :- It's diameter and it's radius...

Solution:-

circumference of circle = 2*pi*r

pi=22/7

220 = 2*22/7*r

220 = 44r/7

220*7 = 44r

1540 = 44r

r = 1540/44

r = 35m....

d = 35*2

d = 70m...

Hence, Diameter of circular field is 70m and radius is 35m

A store owner wants to advertise his store in magazines that most of his shoppers are likely to read. He takes a survey to determine the ratio of females to males that shop at his store each day. The chart represents the number of females and males that shop at his store on average each day. Which statement identifies the ratio of females to males that shop at his store and who he should focu

Answers

Answer:

Step-by-step explanation:

Nshsdhdhdhdjsdnddndnd

Answer:

Step-by-step explanation:

5:2

The number of students attending the seventh-grade class trip is 4 times the number of teachers attending.

What is the ratio of teachers to students attending the class trip?

Answers

Answer:

1:4

Step-by-step explanation:

1 would be the teachers

times 4 would be the students

Answer:   1:4 or 2:16

It can be either answer because the ratios are multiplied with that but it can be divided enough to be 1:4 so any answer would be right if you multiply the ratio by 4

If a bus travels 200 miles in 5 hours what was the average speed of the bus in miles per hour

Answers

Answer:

ths answrs is 40 miles pwr hour becUsd 200/5=40

Answer:The average speed  the bus was going is 40 mph

Step-by-step explanation: 200÷5=40

Can you mark me brainliest

What is the domain and the range for this graph

Answers

Answer:

Domain:(0,infinite)

Range:(5,infinite)

Step-by-step explanation:

Answer:

D = 0, 1, 2, 3, 4, 5

R = 20, 40, 80, 160

Two friends argue over who brushes their teeth more often. To settle the argument, they keep track of the number of mornings and nights they brush and calculate a probability. These are shown in the table.

Answers

Using the probability concept, the correct option regarding who is more likely to brush both in the morning and in the evening is:

B. Arabella. She has a 0.64 probability of brushing both times.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering that the events are independent, we just multiply the probabilities, hence the probability of each brushing both times is given as follows:

Braxton: 0.85 x 0.72 = 0.612.Arabella: 0.79 x 0.81 = 0.64.

Hence statement B is correct, as 0.64 > 0.612.

More can be learned about probabilities at https://brainly.com/question/14398287

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Simplify the expression:

–3(9 − x) =

Answers

Answer:

Expand  [tex]-3(9-x): -27 + 3x[/tex]

Step-by-step explanation:

[tex]-3(9-x)[/tex]

Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]a = -3, b=9, c=x[/tex]

[tex]=-3*9-(-3)x[/tex]

Apply minus - plus rules:

[tex]-(-a)=a[/tex]

[tex]= -3*9+3x[/tex]

Multiply the numbers: [tex]3 * 9 = 27[/tex]

[tex]=-27+3x[/tex]

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

[
1
Solve the equation.
y + 3 = y + 9
f
O y= 1
O y = 3
O y = 6
O y = 9

Answers

The third option Y=6

Divide 389ten by 44 ten

Answers

You would round it up so it’s 9

The equation y-2/3=(x-1/4) is written in point-slope from what equation in slope-intercept from

Answers

Answer:

y=x+5/12

good luck...

Skyler is buying wings and quesadillas for a party. A package of wings costs $8.00. A package of quesadillas cost $10.00. He must spend no more than $160.00. Skyler's freezer will hold a maximum of 20 packages of wings and quesadillas. Write a system of linear inequalities to represent the situation.

Answers

Answer:

The system of inequalities are;

q + w ≤ 20

8w + 10q ≤ 160

Step-by-step explanation:

Let the number of wigs be w and the number of quesadillas be q

Since we have a maximum of 20 packages;

then;

q + w ≤ 20

Let’s now work with the prices

price of w wings is 8 * w =$8w

price of q quesadillas is 10 * q = 10q

The maximum amount to spend is $160

Thus, the addition will be;

8w + 10q ≤ 160

What is the equation of the line with a slope of 2 through (–4, 6) in point-slope form?

Answers

In point-slope form, the equation is :

Y-6=2(x+4)

Hope this helps✨❤️

What is the circumference of a circle
with radius 64 inches? Write your answer
using PI.

Answers

Answer:

C≈402.12in

Step-by-step explanation:

The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius

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