1. Which of the following relations are functions?
Give reasons.
(a) R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}
(b) R2 = {(1, 2) (1, 3) (1, 4) (1,5)}
(c) R3 = {(x, y) (y, z) (z, t) (t, v)}

Answers

Answer 1

Answer:

R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}

R3 = {(x, y) (y, z) (z, t) (t, v)}

R1 and R3 are functions because first element in the ordered pair is not repeating, i.e they have unique images


Related Questions

At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Because Mark is older, he receives $20 for each mowing job and Ryan receives $15. The brothers’ parents pay for the fuel used to mow, so all of the money the brothers earn goes to savings.

Write two equations, one for Mark and one for Ryan, to represent the money in savings (s) based on the number of mowing jobs (j) Mark and Ryan do.
Determine the number of mowing jobs it takes for Mark to have the same amount in savings as Ryan does. Show your work.

Answers

Answer:

30 jobs

Step-by-step explanation:

Mark

Initial amount - $200Earning - $20*jSaving is: S = 20j + 200

Ryan

Initial amount - $350Earning - $15*jSaving is: S = 15j + 350

If they get same saving, then the equations will be equal:

20j + 200 = 15j + 35020j - 15j = 350 - 2005j = 150j = 150/5j = 30

The answer is 30 mowing jobs

HELP WITH MATH WILL GIVE 10 POINTS, GOOD RATING, AND BRAINIEST

Answers

Answer:

ok.....mmmm............

Answer:

whats the ?

Step-by-step explanation:

Taking finals pls help
Given the graph below, how much will it cost Kenny to order 125 T-shirts?

0 A $62.50
o
B $250
OC $312.50
D $375

Answers

Answer:

It should be B $250 - - - - -

What is the measure of xy shown in the diagram below

Answers

you didn’t show the diagram

Pls help WILL PICK BRAINLIEST!
Which other expression has the same value as (-14) -8?
(-14) + 8
14 − (-8)
14 + (-8)
(-14) + (-8)

Answers

Answer:

D. (-14)+(-8)

Step-by-step explanation

Adding to negatives is the same as subtracting 2 positives

-14- 8= 22

-14+(-8)= 22

Help pls! ASAP!!! will give brainliest if right!!!

Answers

Answer:

22.5

Step-by-step explanation:

i have gotten this question before so im for sure its 22.5

What is 5(4x)











fastfastfastfast

Answers

it should be 20x because you multiply what’s on the outside (5) with what’s on the inside (4x) which Is also called distributing. :)
the answer should be 20x since 5*4=20 plus the x!

Here are three stories:
• A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the
show.
• Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6
ounces left for himself.
• Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and
then paints 27 picture frames.
Here are three equations:
• 3x + 6 = 27
• 6x +3=27
• 27x + 3 = 6
a. Decide which equation represents each story. What does x represent in each equation?
b. Find the solution to each equation. Explain or show your reasoning,
c. What does each solution tell you about its situation?

Answers

Answer:

1)

a) 6x+3 = 27

b) x=4

c) We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.

2)

a) 3x + 6 = 27

b) x= 7

c) We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.

3)

a) 27x + 3 = 6

b) x= 1/9

c) We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture

Step-by-step explanation:

1. A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the  show.

a)  Decide which equation represents each story. What does x represent in each equation?

Let x be price of one ticket.

The equation will be: 6x+3 = 27

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

6x+3=27

6x=27-3

6x=24

x=24/6

x=4

So, we get x = 4

c. What does each solution tell you about its situation?

We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.

2. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6  ounces left for himself.

a)  Decide which equation represents each story. What does x represent in each equation?

Let x be amount of juice poured.

The equation will be: 3x+6 = 27

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

3x+6=27

3x=27-6

3x=21

x=21/3

x=7

So, we get x = 7

c. What does each solution tell you about its situation?

We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.

3. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6  ounces left for himself.

a)  Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and  then paints 27 picture frames.

Let x be time spend on each picture frame.

The equation will be: 27x+3=6

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

27x+3=6

27x=6-3

27x=3

x=3/27

x=1/9

So, we get x = 1/9

c. What does each solution tell you about its situation?

We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture

Answer:

Step-by-step explanation:

h

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 9 people took the trip. She was able to purchase coach tickets for ​$330 and first class tickets for ​$1160. She used her total budget for airfare for the​ trip, which was ​$8780. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Answers

Answer:

7 first class and 2 coach tickes

Step-by-step explanation:

Boris filled his gas tank three times last week. Here are the amounts of gas he bought (in gallons).
9.94, 1, 19.1
What is the total amount of gas Boris bought last week?

Answers

Answer:

30.04

Step-by-step explanation:

You could do this the simple way which is to first grab two numbers in any order and add them together, and after you do that you can add the result to the remaining number or numbers that remain. 9.94 plus 1 is 10.94, and 10.94 plus 19 is 29.94, lastly the .1 from the 19 which finally leads us to the answer of 30.04 gallons that Boris bought last week

which equation can be used to solve 3/5 divided by 7/10

Answers

Answer:

35/50

Step-by-step explanation:

Here we will show you how to calculate 3/5 divided by 7/10. We will give you the answer in fraction form and in decimal form.

Here is 3/5 divided by 7/10 displayed

3/5 ÷ 7/10

The numbers in 3/5 divided by 7/10 are labeled below:

3 = dividend numerator

5 = dividend denominator

7 = divisor numerator

10 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

3 x 10/5 x 7 = 30/35

Thus, the answer to 3/5 divided by 7/10 in fraction form is:

30/50

if 40 is increased to 56 what is the percent of change

Answers

Answer:

40% more.

Step-by-step explanation:

40% of 40 is 16. 40+16 is 56

Answer: 71%

Step-by-step explanation: 40/56*100

In a fish tank, 50% of the fish are clown fish, 1/3 are angel fish and the rest are goldfish. There are 33 clown fish in the fish tank. (b) How many goldfish are there in the fish tank?

Answers

Answer:

11 gold fish

Step-by-step explanation:

We are told that

In a fish tank, 50% of the fish are clown fish and there are 33 clown fish in the fish tank.

Let the total number of fishes in the tank be = x

Hence,

50% of x = 33

50/100 × x = 33

50x/100 = 33

Cross Multiplying

50x = 33 × 100

x = 33 × 100/50

x = 66 fishes

Hence, the total number of fishes in the tank = 66 fishes

1/3 are angel fish

The number of angel fishes are

1/3 × 66 fishes = 22 angel fish

•The rest are goldfish. How many goldfish are there in the fish tank?

The number of gold fish is calculated as:

Total number of fishes -( Number of clown fish + Number of angel fish)

= 66 - (33 + 22)

= 66 - 55

= 11

Therefore, the number of gold fish is 11

Answer:

Step-by-step explanation:

1/33 because its 33 goldfish

Calculate the circumference of a semi circle which diameter is 28cm

Answers

Answer:

Circumference of semi circle = 116 cm

Step-by-step explanation:

Given:

Diameter of a circle = 28 cm

Find:

Circumference of semi circle

Computation:

Circumference of semi circle = πr + Diameter

Circumference of semi circle = (22/7)(28) + 28

Circumference of semi circle = 88 + 28

Circumference of semi circle = 116 cm

Write an equation in point-slope form of the line that has a slope of -3 and passes through the
point (4,-5)

Answers

the answer is y=-3x+7

An avid collector wants to purchase a signed basketball from a particular playoff game. He plans to put
away 4% more money each year in a safe at his home to save up for the basketball. In the sixth year, he
puts $580 in the safe and realizes that he has exactly enough money to purchase the basketball.
To the nearest dollar, how much did the collector pay for the signed playoff basketball?

Answers

Answer:

A: $476.72

B: $3162

Step-by-step explanation:

add one short pipe plus one long pipe, 20 points.

Answers

Answer:

4.245

Step-by-step explanation:

1.8 + 2.445 = 4.245

A school has 1200 students last year and only 1080 students this year what was the percentage decrease in the number of students

Answers

Answer:

10%

Step-by-step explanation:

HOPE THIS HELPS

BRAINLIEST???

mulitply the polynomials below.
(3y-8)(-x+y)

Answers

xy = 8
x + y = 6

x + y = 6
x - x + y = -x + 6
y = -x + 6

xy = 8
x(-x + 6) = 8
x(-x) + x(6) = 8
-x² + 6x = 8
-x² + 6x - 8 = 0
-1(x²) - 1(-6x) - 1(8) = 0
-1(x² - 6x + 8) = 0
-1 -1
x² - 6x + 8 = 0
x² - 4x - 2x + 8 = 0
x(x) - x(4) - 2(x) + 2(4) = 0
x(x - 4) - 2(x - 4) = 0
(x - 2)(x - 4) = 0
x - 2 = 0 or x - 4 = 0
+ 2 + 2 + 4 + 4
x = 2 or x = 4

x + y = 6
2 + y = 6
- 2 - 2
y = 4
(x, y) = (2, 4)

or
x + y = 6
4 + y = 6
- 4 - 4
y = 2
(x, y) = (4, 2)

The two numbers that add up to 6 and multiply to 8 are 4 and 2.

write a polynomial function with the given zeros
x = -2, -2, 3

Answers

Answer:

(x+2)(x+2)(x-3)

Step-by-step explanation:

hope this helps

Simplify 7(x - 2) - 4x + 9.
O A. 3x+7
O B. 3x - 5
O C. -11X- 11
D. -21 x + 49

Answers

Answer:

b. 3x-5

7(x-2)-4x+9

7x-14-4x+9

(7x-4x)(-14+9)

3x-5

What’s the domain and range

Answers

Answer:

domain is negative infinity to 1

range is -3 to positive infinity

Step-by-step explanation:

ASAP. 20 points. What is the value of (4 minus 2) cubed minus 3 times 4?
Negative 20
Negative 4
4
20

Answers

Answer:

Answer:

-4

Step-by-step explanation:

(4-2)^3 - 3*4

PEMDAS

P arentheses

(2)^3 - 3*4

E xponents

8 -3*4

MD  multiply and divide from left to right

8 - 12

AS add and subtract from left to right

-4

Step-by-step explanation:

Answer:

–48

Step-by-step explanation:

i looked it up i hope this helps :) :) :)

Find the perimeter and area of the following shape.

Answers

Answer: PLEASE MARK BRAINLIEST I NEED ONE MORE

Area:113 units squared

Perimeter: 43 units

Step-by-step explanation:

11 times 7 plus 6 times 6 equals


PLSSS HELP ME IF YOU CAN :) you will get point!!

Answers

Answer:

it's answer is definitely 8

Step-by-step explanation:

-4 (x-2) + 6x

or, -4x + 8 + 6x

or, 2x + 8

so definitely answer is 8

is the sum of 398 and 6578 odd or even?

Answers

Answer:

ITS 6976 SO YES.

Step-by-step explanation:

Answer:

6976 it is even

Step-by-step explanation:

the sum is 6976

can someone please help!!

Answers

Answer:

Just gunna take up one space

Step-by-step explanation:

It’s going to take up 3 spaces

—2a — 5 > 3 on a graph

Answers

Answer:

a<−4

Step-by-step explanation:

45°
b
a
35
Help me if you can

Answers

9514 1404 393

Answer:

  C)  a = 3√10; b = 3√5

Step-by-step explanation:

The side ratios in an isosceles right triangle are 1 : 1 : √2. This is a fact worth remembering. You know the triangle is isosceles because both acute angles are 45°, which means both legs are the same length.

If the leg lengths are 1, the Pythagorean theorem tells you the hypotenuse is ...

  c^2 = a^2 + b^2 . . . . . . for legs a, b, and hypotenuse c

  c^2 = 1^2 + 1^2 = 2

  c = √2

This tells you the leg : leg : hypotenuse ratios are as shown above.

__

What that means here is that b = 3√5, the same length as the one shown. It also means that ,,,

  a = (3√5)(√2) = 3√(5·2)

  a = 3√10

The only answer choice with the correct value of 'a' is (C).

  a = 3√10, b = 3√5

3.48 with 8 % tax would equal please help so confused how to do

Answers

$3.48 with 8% tax would be 28 cents
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