Consider the following sets. U = {ordered pairs on a coordinate plane} A = {ordered pair solutions to y = x} B = {ordered pair solutions to y = 2x} Which ordered pair satisfies A ∩ B?

Answers

Answer 1

Answer:

(0,0)

Step-by-step explanation:

We have,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to A[tex]\bigcap[/tex]B.

Let, (x,y) belong to A[tex]\bigcap[/tex]B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A[tex]\bigcap[/tex]B is (0,0).

Answer 2

For a set U, The ordered pair satisfies A ∩ B is mathematically given as

x = 0,  y = 0 (0,0)

Which ordered pair satisfies A ∩ B?

Question Parameter(s):

U = {ordered pairs on a coordinate plane}

A = {ordered pair solutions to y = x}

B = {ordered pair solutions to y = 2x}

if  (x,y) belongs to AnB

y = x and y = 2x

x = 0

In conclusion, subsituting we have

y = x and y = 2x

y = 0

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Related Questions

Help!

Which of the following is not a condition for a tessellation?

The shape or shapes must be repeated.
The shapes must not overlap.
There can be no gaps.
The shapes must be polygons.

Answers

Answer:

The shapes must be polygons.

Answer:

The shapes must be polygon

Step-by-step explanation:

did a test that was the answer, also if ur looking up answers for a test look them all up cuz im not big brain and a got a 72 thinking i was smart and knew how to do the questions

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.

Find the number of albums Floyd sold last month.

albums

Answers

Answer:

Equation: [tex]a=\frac{644-200}{12}[/tex]

Albums: [tex]37[/tex]

Also, the verified tutor above me, is also correct, I just feel like my explanations and answers are much for informational and simplier than his

Explanation:

      First lets find out how many albums Floyd sold in a month to find out the amount of albums and how we solved it.

      Let's take the [tex]\\644\[/tex] and subtract [tex]200\[/tex] from it, because he didn't make any albums or anything to get

      Now that we have the amount of money that he gets from albums, we can divide this amount of money by [tex]12\[/tex] because that's the amount of money he gets from [tex]1[/tex] album. [tex]\frac{444}{12}=37[/tex]

      Now we know how many albums he sells for a total of [tex]444\[/tex] plus the [tex]200\[/tex] he gets on a monthly rate.

      Thank you for sticking with me on trying to learn how you got these answers instead of just staright-up cheating!

The equation that determines the number of albums sold is:

200 + 12a  =  644

The number of albums Floyd sold last month is 37

Word Problems on linear equations

Monthly base rate = $200

Pay on each album = $12

Number of albums = a

Total money earned = $644

The equation that determines the number of albums sold is:

200 + 12a  =  644

Solve the equation above to get the number of albums sold

12a  =  644 -  200

12a  =  444

a  =  444/12

a  =  37

The number of albums Floyd sold last month is 37

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7,005.9 rounded to the nearest one

Answers

One in this case is the 5 before the decimal point, so if you're rounding you look to the right and its a 9 so you would have to round one number up.

Answer: 7, 006

Hope this helps :)
Please give brainliest
the answer is 7,006 to the nearest one as 0.9 is over 0.5 so u go up and the one unit is the 5 so u round it up to 6 

answer=7006 to nearest one

brainliest g and thanks plz:))))))))))))

Show work please. If you need to

Answers

dishwasher:

1200*0.15 = 180

1200-180 =$1,020

area:

middle section 6x6 = 36

left triangle 6*6*0.5 = 18

right triangle Area=base x height/2 = 6x6/2 = 18


36 +18 +18 =

72 in^2

Kenji wants to divide 48.6 by 0.15. What is the first step that Kenji must complete?

Multiply the divisor and dividend by 10.

Multiply the divisor and dividend by 100.

Divide the divisor and dividend by 100.

Divide the divisor and dividend by 10.

Answers

The first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.

What is a division?

A division is a process of splitting a specific amount into equal parts. The number to be divided by another number is called the dividend. The number by which we divide another number (dividend) into equal parts is called the divisor.

For the given situation,

Kenji wants to divide 48.6 by 0.15.

[tex]\frac{48.6}{0.15}[/tex]

Step 1:

To perform division, the first step is to make the divisor and dividend without decimals.

So multiply the divisor and dividend by 100.

⇒ [tex]\frac{48.6}{0.15}=\frac{48.6(100)}{0.15(100)}[/tex]

⇒ [tex]\frac{4860}{15}[/tex]

Hence we can conclude that the first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.

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Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. he puts all 80 of neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asked those families if they plan to attend the party he finds that 20% of the family is planning to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party is this a valid inference ???????explain why.

Answers

No this is not a valid reference because those were 20 random families, if he does another test the next twenty families 50% of them could attend the party. Too much chance to be valid.

Answer:  It is c

it is not a or b or d because they don't make since

also i took the flvs test

:)

The table below shows the radius y, in inches, created by growing algae in x days: Time (x) (days) 5 10 15 20 Radius (y) (inches) 1 3 9 22 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [Choose the value of the correlation coefficient from 1, 0.94, 0.5, 0.02.] (4 points) Part B: What is the value of the slope of the graph of radius versus time between 5 and 10 days, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answers

PART A:

The data is plotted in the graph below. The line best fit is drawn to show the trend of the data. Since the plots form a cluster that follows the line best fit and there are no outliers, the most likely coefficient is 0.94 which is a strong positive correlation.  

PART B:

The value of slope between x = 5 and x = 10 is
Slope = (3-1) ÷ (10-5) = 2/5

The slope represents the rate of change of the radius, which is 2/5 for every 5 days

PART C:

The data in the table represents correlation, that the algae grow longer as the days increase. It might not be necessary a causation because the growth of algae doesn't necessarily depend on the number of days.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Hey there Duolingocom4! :)

To solve this, you need to first input the value given for the variables:
[tex]mx-y [/tex]
is 
[tex]1*5-2 [/tex]
Follow BEDMAS to simplify the expression.
[tex]5-2 [/tex]
[tex]=3[/tex]

The answer would be 3.

Hope this helps.
-Benjamin

Ken ordered 4/5 of a ton of sand. He wants to recieve 1/3 now and 2/3 later. What fraction of a ton of sand should he recieve now?

Answers

4/15 of the sand. Multiply 4/5 by 1/3.

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Answers

(20x+108)/273+20x+108=372/589
589(20x+108)=372(273+20x+108)
.
.
.
x=18

Dan received a $45.25gift card for a photo center. He used it to buy prints that cost 25 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following function.

B (x) = 45.25- 0.25x

What is the remaining balance on the card if Dan bought 50 prints?

Answers

b(50)=45.25-0.25(50)
b(50)=45.25-12.5
b(50)=32.75
Final answer: $32.75
Final answer:

The remaining balance on the card after buying 50 prints is $32.75.

Explanation:

To find the remaining balance, B(x), on the gift card after buying x prints, we can substitute the value of x into the given function B(x) = 45.25 - 0.25x. In this case, x = 50.

Substituting x = 50 into the function, we have B(50) = 45.25 - 0.25(50) = 45.25 - 12.50 = 32.75.

Therefore, the remaining balance on the card after buying 50 prints is $32.75.

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Clark has 7 1/2 feet of wire. Part a: how many 3/4 foot pieces can clark cut from the 7 1/2 feet of wire? Part B: using the information in part a, interpret the meaning of the quoitient in terms of the two fractions given

Answers

(7 1/2) / (3/4) = 
(15/2) / (3/4) =
15/2 * 4/3 =
60/6 =
10....so Clark can cut 10 three-fourths pieces of wire

The
6

students in Mrs. Flores' class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:

7, 10, 16, 8, 5, 13

Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.

Answers

The median is nine (9). You add each number up, and then you divide by the amount of numbers you have. 
The mean is 9.83 according to my calculations. 

Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is ____ square units.

Answers

Answer:

50 square units.

Step-by-step explanation:

Given in the picture is a right angled triangle

The coordinates of A are (-9,10) and B are (7,-2) and C is (4,-6)

Given that BC = 5 units

AB = distance between A and B

=distance between two points (-9,10) and (7,-2)

=[tex]\sqrt{(-9-7)^2+(10+2)^2} =\sqrt{256+144} \\=20[/tex]

Thus if we consider BC as base then AB is the height

Area of triangle = 1/2 bh = 1/2 (5)(20)

= 50 square units

The area of the triangle is: 50 square units.

What is the Area of a Triangle?

Area of a triangle = 1/2(base × height).

Given right triangle ABC:

Base = BC = 5 units

Height = AB = ?

Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] to find AB:

Let,

A(-9, 10) = (x1, y1)

B(7, -2) = (x2, y2)

Thus:

[tex]AB = \sqrt{(7 -(-9))^2 + (-2 - 10)^2}\\\\AB = 20 $ units[/tex]

Area of triangle = 1/2(5 × 20) = 50 square units.

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Which expression can be used to determine 50% of 42?

42 - 2
42 / 2
42 / 10
42 - 10

Answers

Answer:

The answer is B

Step-by-step explanation:

Correct answer is 42 / 2.:)

Which line represents the line of reflection in this diagram?


f
g
h
i

Answers

The answer would be H, Because it is in the very center of both shapes which creates a line of symmetry which is used for the line of reflection


Hope this helped...

Answer:  The correct option is (C) h.

Step-by-step explanation:  We are given to select the correct line that represents the line of reflection in the given diagram.

We know that

A line of reflection is a line such that each point of the original figure and the image are equidistant from it.

In other words, we can say that the line of reflection is equidistant from the original figure and the image.

Now, from the figure, we can see that the line g is close on the figure on the left than that in the right. So, line g cannot be the line of reflection.

Line i is close the right figure on the upper half and it is close to the left figure on the lower half. So, line i also cannot be the line of reflection.

Line f cannot be the line of reflection because the shape of the figure is not same in both the sides of f.

The only line that is equidistant from both the figures is line h.

Thus, the line of reflection is line h.

Option (C) is CORRECT.

The table shows the price of bagels at two different stores: Store Price Bagels Bagel Stop $6.00 15 bagels Yummy Bagels $14.00 35 bagels' Yummy Bagels sells bagels at a lower unit price than Bagel Stop. True False

Answers

you divide the price by the amount of bagels. 6/15 is .4, and 14/35 is also .4 each bagel is 40 cents at both places so false
store price : 6 / 15 = 0.40 per bagel
yummy bagels : 14/35 = 0.40 per bagel

false...bagels at both stores have the same unit price

Find the product. (2p 3)3 · (3p 2)2

Answers

(2p^3)^3 * (3p^2)^2
= 2^3 p^9 * 3^2 p^4
= 8 p^9 * 9 p^4
= 72 p^13
The answer will be 72p^13

Find the midpoint of diagonal BD. Figure ABCD is shown. A is at negative 3, 2. B is at 0, 6. C is at 6, 6. D is at 3, 2.

Answers

We just need the points B and D to solve this. B = (0,6) and D = (3,2).
Add the components together and average them.

midpoint(B,D) = ((0 + 3) / 2) , ((6 + 2) / 2)

= (1.5, 4)

Hopefully this is the right answer.

With 128, 134, 140, 146, 152, what's the next number if the pattern continues?

Answers

we add 6 each time

so the next number is 152+6=158

What is the relationship between the 6's in the number 6647

Answers

We can break down the number 6647 into:
6647=6000+600+40+7
The first 6 in the number is in the thousands place (6,000), and the second 6 is in the hundreds place (600). 
The first 6 is 10 times greater than the second one.

The floor of a rectangular room will be tiled with square tiles that measure 3 inches on each side. The room is 109 inches long and 103 inches wide. How many tiles, including parts of tiles, are needed to complete the job?

Answers

109 *103 = 11227 square inches

tile = 3^2 = 9 square inches

11227/9 = 1247.44 tiles are needed.

 you can't buy a partial tile so you would need 1248 tiles

Answer:

We need 1248 tiles to complete the job.

Step-by-step explanation:

First we have to get the area of the  room and the area of each tile

Area = long x wide

Room Area = 109 x 103 = 11227 square inches

Tile area = 3 x 3 = 9 square inches

To get how many tiles we need, we must divide the room area by the tile area

Q=11227/9= 1247,44 ≅1248

What is the surface area of a cube with a side length of 10 inches?

Answers

okay so one side is area is 10x10 or 100 there are 6 sides on a cube, so I can do 6x100 which is 600

:)
the answer is 600
10 * 10 = 100
100 * 6 = 600

5y-x=10 solve for y

Answers

[tex]5y-x=10\\\\ 5y=10+x \ |:5 \ Both \ sides \\\\ y=\frac{10}{5}+\frac{x}{5}\\\\ y=2+\frac{x}{5}[/tex]

because
[tex]5y-x=5(2+\frac{x}{5})-x=5\cdot 2 +\frac{x}{\not5}\cdot 5 - x= 10+x-x=10[/tex]



From the equation 5y - x = 10; the solution for y is; y = (10 + x)/5

According to the question;

We are required to determine the solution in terms of y for the equation.

To solve for y; we must solve as follows;

5y - x = 10

5y = 10 +x

y = (10+x)/5

y = 2 + x/5

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Someone please help!!

Answers

To determine what the value of X is simply use the appropriate trigonometric ratio, which in this case is cos.

Cos 21 = 3/X
X • cos 21 = 3
X = 3/(cos 21)
X = 3.123 about 3.1

The value of X to the nearest tenth would be about 3.1.

what is the circumference of a circle

Answers

the circumference is the distance around the outside of a circle.

 If you know the radius you can use the formula

 circumference = 2 x PI x radius

 

What is 3 divided by 363

Answers

Do you mean "363 divided by 3"?

If you meant "363 divided by 3", the answer would be: 363/3 = 121
If you meant "3 divided by 363", the answer would be: 3/363= 0.0083

***I, personally, would go for the first answer: 121***
3 divided by 363 is0.0082644628

What is 64,005,874 in word and expanded form and 30,679,100

Answers

64005874  
word form: sixty-four million, five thousand, eight hundred and seventy-four
expanded form: 60000000 + 4000000 + 5000 + 800 + 70 + 4
30679100
word: thirty million, six hundred seventy nine thousand, and one hundred
30000000 + 600000 + 70000 + 9000 + 100

hope this helps

Find the volume of the cylinder to the nearest tenth use 3.14

Answers

the answer is 3.14 r^2 h

the h is the height

if 1.4 is the radius then the answer is 36.9 if 6 is the radius then the answer is 158.3

Over the course of a year, a classroom went from 15
students to 19
students.

Use the drop-down menus to build an equation that could be used to find the percent change, p
, in the number of students.

Answers

19-15 =4

4/15 = 0.266

0.266*100 = 26.6%

 so 19-15/15


Answer:

p = [tex](\frac{19-15}{15} )\times 100[/tex]

Step-by-step explanation:

Over the course of a year classroom went from 15 to 19 students.

So students added = 19 - 15 = 4

Now percentage of this addition will be p =  [tex](\frac{\text{students added}}{\text{total students before addition}})\times 100[/tex]

p = [tex](\frac{19-15}{15} )\times 100[/tex]

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