For each equivalence relation below, find the requested equivalence class. R = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} on {1, 2, 3, 4}. Find [1] and [4].

Answers

Answer 1

The relation R = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} on {1, 2, 3, 4} is an equivalence relation because it satisfies the three properties of reflexivity, symmetry, and transitivity.

To find the equivalence class of [1], we need to identify all the elements that are related to 1 through the relation R. We can see from the definition of R that 1 is related to 1 and 2, so [1] = {1, 2}.

Similarly, to find the equivalence class of [4], we need to identify all the elements that are related to 4 through the relation R. Since 4 is related only to itself, we have [4] = {4}.

In summary, sets [1] = {1, 2} and [4] = {4}.

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Related Questions

PLEASE ANSWER ASAP!

Find (f+g)(x).

f(x) = 1/x

g(x) = x² + 2x - 5

-----------------------

a.) 1/x - x² - 2x b.) 1/x + x² + 2x - 5

c.) x² + 2x -5 - 1/x d.) 1/x + x² - 5​

Answers

Answer:

I think it is b but I could be wrong

what is the square root of 169​

Answers

Answer: 13

Step-by-step explanation:

Last week, Jay had $217 in the bank, but this week, Jay is $28 in debt. Write an equation that describes that situation.

Answers

Answer:

?

Step-by-step explanation:

Answer:

217-245=-28

Step-by-step explanation:

Add $28 to $217, which is $245. Then subtract 245 from 217.

whats the area of 18ft and 32ft as a right triangle

Answers

9514 1404 393

Answer:

  288 square feet

Step-by-step explanation:

The area of a triangle is given by ...

  A = 1/2bh

For a right triangle, the leg lengths can be used for b and h.

  A = 1/2(18 ft)(32 ft) = 288 ft²

The area of the right triangle is 288 square feet.

How do we solve this?

Answers

Answer:

B is (3, 10)

Step-by-step explanation:

The midpoint of coordinates of the 2 points (x1, y1( and (x2, y2) is

(x1 + x^2) / 2 , (y1 + y2)/2.

So if (x, y) are the coordinates of B we have:

(7 + x)/2 + (2 + y)/2 = 5 + 6

So 7 + x = 2*5 so x = 3

AND 2 + Y = 12 SO y = 10.

Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A
new quadrilateral is created, using a scale factor of 0.25.
Which of the following are side lengths of the new
quadrilateral?
Quick first gets brainliest!!

Answers

Answer:

You didnt put any answer choices but by applying that scale factor, I got these measurements in the order you put them in. 0.5. 1.25. 1.75. 3.

Solve for y. 1 y – 1 3y + 7 10 y E​

Answers

Answer:

[tex]y = \frac{17}{7}[/tex]

Step-by-step explanation:

1) To solve this question easily, cross multiply first. Multiply the denominator of the first fraction by the numerator of the second fraction, and multiply the denominator of the second fraction by the numerator of the first fraction:

[tex]\frac{y-1}{3y+7}=\frac{1}{10}\\1(3y+7) = 10(y-1)\\3y + 7 = 10y-10[/tex]

2) Now, solve like you would and isolate y. Subtract both sides by 10y.

[tex]3y + 7 = 10y-10\\-7y + 7 = -10[/tex]

3) Then, subtract both sides by 7.

[tex]-7y + 7 = -10\\-7y = -17\\[/tex]

4) Finally, divide both sides by -7 to receive the answer.

[tex]-7y = -17\\y = \frac{-17}{-7} \\y = \frac{17}{7}[/tex]

i really need help with this

Answers

Answer:

A+6+A = 20

A = 7

Step-by-step explanation:

J = number of problems Juana completed

A = number of problems Andy completed

J+A=20

J = A + 6

Replace J with A+6 in the first equation

A+6+A = 20

2A +6 = 20

Subtract 6 from each side

2A +6-6 = 20-6

2A =14

Divide by 2

2A/2 = 14/2

A = 7

Answer:

7

Step-by-step explanation:

set up your two equations.

j + a = 20. equation 1

j = a + 6. equation 2

since you know that j = a + 6, you can substitute a + 6 into the place of j. this is because you want to isolate a in order to find out how many problems andy completed.

j + a = 20

a + 6 + a = 20

now solve.

2a + 6 = 20

2a = 14

a = 7

andy has completed 7 problems. if juana completed 6 more than andy, then she has completed 13. 13 + 7 = 20.

$8.40 is what
percent of $28?
Please help

Answers

Answer:

30%

Step-by-step explanation:

$8.40 is 30% of 28

please help and be correct please :( have a explanation also

Answers

Answer:

Part A: 3 bowls    Part B: See Below

Step-by-step explanation:

Part A: If he uses 1/6 to make ONE bowl, 3/6 is one half so he can make THREE bowls.

Part B: Just draw the fact of 1/2 being equal to 3/6 there for making 3 bowls and you'll be good! :)

Hope this Helped! ^ - ^

1/3 + 3/8 =?? wich method can sole the number sentence​

Answers

Answer: 17/24
Eplination: you need a common demonator

y=1/2x +-6 on a graph

Answers

You can use Desmos Graphing Calculator to help out

Answer:

(0,-6) and (12,0)

Step-by-step explanation:

These two points form a line that follow the rule of the equation

please hurry! I'm so confused

Answers

Answer:

Step-by-step explanation:

The general equation is

y = 2.49x + 24.99

The number of cones bought is x

The cake cost is 24.99

The total cost is y

===========

So the meaning of (5,37.44) is that she bought 5 cones and 1 cake. Let's just check that out.

Check

y = 2.49*5 + 24.99

y = 12.45 + 24.99

y = 37.44

So the total cost (y) of 5 cones (2.49 each) and 1 cake ($24.99) is 37.44

how does (46)(4) = 56 please tell me

Answers

Answer:

ok, so 46 times 4 is 184.

Step-by-step explanation:

46

x 4

-------

184

So 6 times 4 is 24 and then you carry over the 2.  4 times 4 is 16.  You add 2 to 16 and you get 18.  So the total would be 184.

It's kinda hard to explain over brainly

Answer:

impossible

Step-by-step explanation:

46x4= 276

please mark me as brainlist

45 is 3% of what number?

quick I need an answer!
hurry pls!

Answers

Answer:

stop rushing brat

Step-by-step explanation:

Step-by-step explanation:

Steps to solve "45 is 3 percent of what number?"

We have, 3% × x = 45

or,

3

100

× x = 45

Multiplying both sides by 100 and dividing both sides by 3,

we have x = 45 ×

100

3

x = 1500

If you are using a calculator, simply enter 45×100÷3, which will give you the answer.

Find the x- and y-intercepts of the graph of x + 5y = 6 state your answer as whole numbers or as improper fractions in simplest form

Answers

Answer:

[tex]y=-\frac{1}{5}x+\frac{6}{5}[/tex]

Step-by-step explanation:

Let's solve for x.

[tex]x+5y=6[/tex]

Step 1: Add -5y to both sides.

[tex]x+5y+-5y=6+-5y[/tex]

[tex]x=-5y+6[/tex]

Answer:

[tex]x=-5y+6[/tex]

Let's solve for y.

[tex]x+5y=6[/tex]

Step 1: Add -x to both sides.

[tex]x+5y+-x=6+-x[/tex]

[tex]5y=-x+6[/tex]

Step 2: Divide both sides by 5.

[tex]\frac{5y}{5}=\frac{-x+6}{5}[/tex]

[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]

Answer:

[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]

Solve for y: LaTeX: \frac{y}{11} = 8
GIVING BRAINLIST!!!

Answers

Answer:

y = 88

Step-by-step explanation:

(I'm assuming that by \frac{y}{11} you mean y/11)

You can solve this by multiplying by 11 on both sides. y/11 = 8, so if you multiply by 11 on both sides, you get that y = 8 * 11, so y = 88

Kendra is buying bottled water for a class trip.She has 16 bottles left over from the last trip.She buys bottles by the case to get a good price. Each case holds 24 bottles. How many cases will she have to buy if she wants to have a total of 160 bottles of water?

Answers

she will need to buy 6 cases

Question Progress
Solve the inequality 5y + 4 < 3y + 17

Answers

Answer:

y < [tex]\frac{13}{2}[/tex]

Step-by-step explanation:

Given

5y + 4 < 3y + 17 ( subtract 3y from both sides )

2y + 4 < 17 ( subtract 4 from both sides )

2y < 13 ( divide both sides by 2 )

y < [tex]\frac{13}{2}[/tex]

Answer:

y < 13/2

Step-by-step explanation:

Jane bought a jacket that costs $49.95 plus a sales tax of 8%. How much sales tax did Jane pay for the jacket?

A) $54.07
B) $45.83
C) $5.00
D) $4.12

Answers

Answer:

$3.996

Step-by-step explanation:

8%=0.08

49.95*0.08=3.996

what is the sum of 3aa+5aa=

Answers

Answer:

8aa

Step-by-step explanation:

Answer:

8aa is the correct answer of this question

In the system of equations, which variable would it be easiest to solve for?

2 x + 4 y = 26. 3 x + y = 9.
The easiest to solve for is x in the first equation.
The easiest to solve for is y in the first equation.
The easiest to solve for is x in the second equation.
The easiest to solve for is y in the second equation.

Answers

Answer:

The easiest way of solving this is to eliminate one of the variables.  If you multiply each of the equations by a number so you can add the equations together and have only one variable left, you can solve the single variable equation.  Try multiplying the first equation by 11, the second by -10 and adding them, thus eliminating the y  variable.  After this, substitute that value you have for x and solve for y.  I hope this helps.

Step-by-step explanation:

D Itś D DDDDDD DDDDDDDDDDDDDDDDDD

(9r^2+4r-7)+(3r^2-3r)

Answers

Answer:

12r2+r−7

Step-by-step explanation:

hope it helped

please help me on this will give you brainliest

Answers

Answer:

The answer is really simple. Add 33 and 67 then subtract it from 180 and the answer is 80.

Answer:

x=80 degrees

Step-by-step explanation:

upper right corner angle =67 degrees because it is a corresponding congruent angle.

The sum of all the inside angles of all triangles is 180 degrees.

180-33-67=x

x=80 degrees

What is the solution to the equation? ​

Answers

X=63


Hope this helps you ☺️

Answer:

C. x = 63

Step-by-step explanation:

X ÷ 3 = 21 is the same as 3 × 21 which is 63.

Simplify
(2m-m) - (3m+4n)

Answers

-2m-4n that’s the answer.

A snail is moving along a path that is 4 meters long. The snail moves at an average rate of 3 3/10 inches per minute. Question 1 Part A Find the length of the path to the nearest inch. (Hint: 1 in.≈2.54 cm) Enter the correct answer in the box.

Answers

Answer: The length of the path = 157 inches { approx}

Step-by-step explanation:

Given: The length of the path = 4 meters

1 meter = 100 centimeters

So 4 meters = 400 centimeters

Also 1 in. ≈ 2.54 cm

[tex]\Rightarrow\ 1 cm = \dfrac{1}{2.54}\ in.[/tex]

Now, [tex]\text{ 400 centimeters}=400\times\dfrac{1}{2.54}\text{ inches}[/tex]

[tex]=157.480314961\approx 157 \ \ \ \ \ \text{ [Rounded to the nearest inch.]}[/tex]

Hence, the length of the path = 157 inches { approx}

Hey I'm Chloe Lol, Can You Help Me Thank you :)
Solve The following For x :
3( 3x+9) = 4(4 x+5)

Answers

3x-9=4

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

3(3x+9)=4(4x+5) distribute through multiplication

9x + 27= 16x + 20 subtract 9x and 20 from both sides

7 = 7x divide both sides by 7

x =1

check work

3(3(1)+9) = 4(4(1)+5) distribute the x

3(12) = 4(9)

36 = 36

Congrats I hope this helped!

Claire is going to invest in an account paying an interest rate of 4.8% compounded
continuously. How much would Claire need to invest, to the nearest hundred dollars,
for the value of the account to reach $540 in 13 years?

Answers

Answer: P= 300

Step-by-step explanation:

PLEASE HELP
7x+3y=20 and -4x-6y=11 find the value of 3x-3y

Answers

Answer:

im pretty sure the answer is A 6

Step-by-step explanation:

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