The set of ordered pairs below represents a function.

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}

Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.

Select all ordered pairs that could be used to show that this claim is incorrect.
(–9, –6)
(1, 12)
(–10, –10)
(4, 7)
(–5, 1)

Answers

Answer 1

Given:

The set of ordered pairs below represents a function.

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}

Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.

To find:

All the ordered pairs that could be used to show that this claim is incorrect.

Solution:

We need to find the ordered pairs that can be replaced with (6,-10) and for which the set is not a function.

A relation is called function if there exist a unique output for each input.

If (-9,-6) is replaces with (6,-10), then the set has two outputs y=1 and y=-6 for x=-9. So, the claim is incorrect.

If (1,12) is replaces with (6,-10), then the set has two outputs y=12 and y=3 for x=1. So, the claim is incorrect.

If (-10,-10) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (4,7) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (-5,1) is replaces with (6,-10), then the set has two outputs y=1 and y=2 for x=-5. So, the claim is incorrect.

Therefore, the correct options are (a), (b) and (e).


Related Questions

what is the equation of the line through (4, -3) and (0, -2)?

Answers

Answer:y=-1/4x-2

Step-by-step explanation:

A recipe for pizza dough calls for 3 teaspoons of salt for every 4 cups of flour how many teaspoons of salt will be needed for 28 cups of flour.

Please show a tape diagram for this too

Answers

Its gonna be 7, im not sure how i can provide a tape diagram

One year after you buy a tree, it is 4 feet tall. Each year after you buy the tree, it grows 1.75 feet. Write a function that represents the arithmetic
sequence. How long does it take for the tree to reach its maximum height of 18 feet?

Please help!!

Answers

using basic math I think it would be about 11 to 11 1/2 years

Answer:

It will take 8 years for the tree to reach 18 feet

Step-by-step explanation:

I wrote the equation 18=4+1.75x,that's all I know

find the answer and when you find it you get 10 point.

Answers

Answer:

5

Step-by-step explanation:

What Is The Answer To This Problem (-8) + 12 =

Answers

Answer:

4

Step-by-step explanation:

Your family goes out for dinner on Sunday night. If the total bill came out to $175 but your parents had a 20% off coupon. How much will the entire meal cost if you also must pay 8% sales tax and a 18% tip?

Answers

Answer:

Step-by-step explanation:

175-20%= 35 off

175-35=140

140*8% tax= 11.20 tax

140+11.20= 151.20

151.20*18% tip= 27.216

151.20+27.22=178.42 total

Hello! I need help ASAP. Can anyone help please?
(reward: 19 points, brainliest, 5 rating)

Two groups of people need to get across a lake. The first group has 36 people. Its boats can carry 5 passengers. The second group has 24 people. Its boats can carry only 4 passengers.

Which group needs more boats?
follow the steps to solve the problem.

1. Group 1 is represented by the equation 5x = 36. Solve this equation for x. Show your work.

2. How many boats does group 1 need? Explain your answer.

3. Write and solve an equation to find how many boats group 2 needs. Show your work.

Answers

Answer:

Both groups need more boats

1.) 5x=36

36/5

=7.2 boats

2.) 7.2 but you can't split a boats nor can you decrease the amount of people so 8 boats.

3.)4x=24

24/4

=6 boats

I hope this helps u :)

Can someone please help me with this

Answers

Answer:

Yes

Step-by-step explanation:

Because I can assist you hit my inbox

Answer:

help you with what?

Step-by-step explanation:

post the question and I am probably 90% sure I can answer it for you I just need to know what the question is . if you've already got it done then no need to answer back .

tom started his hike at 2:15pm. he arrived at his destination at 4:30pm. how long did he hike??

Answers

Answer:2:15 minutes is how long he hiked

Step-by-step explanation:

Answer: 2 hours and 15 minutes

Step-by-step explanation:

there are 84 calories in 100g of banana there are 87 calories in 100g of yoghurt priti has 60 g of banana and 150g of yoghurt for breakfast work out the total number of calories in this breakfast ​

Answers

It’s 128 or 129 either or works tbh

Total calories intake of Priti is 180.9 calories

Given that;

Number of calories in 100g banana = 84 calories

Number of calories in 100g yoghurt = 87 calories

Amount of banana and yoghurt Priti have = 60g and 150g respective

Find:

Total calories intake of Priti

Computation:

Total calories intake of Priti = 60[84/100] + 150[87/100]

Total calories intake of Priti = 50.4 + 130.5

Total calories intake of Priti = 180.9 calories

Learn more:

https://brainly.com/question/18087985?referrer=searchResults

this is it guys thx!✨

Answers

Answer:

It's D: 16

Step-by-step explanation:

Which polynomials have 2 roots

Answers

Answer:

Option D

Step-by-step explanation:

Option A

x² - 3x² + 2x² = 0

Therefore, the given polynomial has no roots.

Option B

x² + 2x + 8

By quadratic formula,

x = [tex]\frac{-2\pm \sqrt{4-32} }{2}[/tex]

  = [tex]\frac{-2\pm \sqrt{-28} }{2}[/tex]

Therefore, roots are imaginary and for a polynomial with degree 1 or more than 1, both the roots can't be imaginary.

So the polynomial can't have exactly two roots.

Option C

99x³ - 33x + 1

Since the polynomial is of degree 3, so it will have three roots.

Therefore, the polynomial will not have exactly 2 roots.

Option D

√2x - 3x² + 7√2

By quadratic formula,

x = [tex]\frac{-\sqrt{2}\pm\sqrt{(\sqrt{2})^2-4(-3)(7\sqrt{2} )}}{2(-3)}[/tex]

x = [tex]\frac{-\sqrt{2}\pm\sqrt{2+84\sqrt{2} )}}{(-6)}[/tex]

There are exactly two real roots.

Therefore Option D is the answer.

Option E

4x + 11x - 111

Since this polynomial is of a degree 1.

There will be only one root.

Please helpppp !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6.3

Step-by-step explanation:

7squared - 3squared

49-9= 40

square root of 40 = 6.3

Please answer the for me

Answers

Answer:

y=-5x+30

Step-by-step explanation:

So negative 5x because you are taking five dollars out every x day so then plus 30 because since its slope intercept form y=mx+b and be is the y intercept then that should be your answer.

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

y=2x-1

Step-by-step explanation;

First step you have to do is get you desmos graphing calculator

input the equation- 1/2x+4 when you put it you get your line

from there you have to find one of the equations from the answer choices which one is parallel from there input your four answer choices on your graphing calculator then look which of the equations is parallel to the equation -1/2x+4 when you do that you get y=2x-1

Hope this helps :)

Determine if the pair of lines are parallel perpendicular or intersecting

Answers

Answer:

1. y= 2/3x + 4, and y = 2/3x - 1 are parallel

2. y = 1/3x - 3  and y = 2x + 5 are perpendicular

3. y =2/5x +4 and y = 0.2x - 1 are intersecting

4. y = -x + 13 and y = x-14 are perpendicular

Step-by-step explanation:

The equation of lines are solved and parallel lines are

a) y = 2/3x + 4 , y = ( 2/3 )x - 1

Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5

Intersecting lines

a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

y = 2/3x + 4 , y = ( 2/3 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 2/3

So , the slopes of the two lines are same and they are parallel lines

And , y = -( 1/2 )x - 3 , y = 2x + 5

The slopes are negative reciprocals of each other , so they are perpendicular lines

Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

Hence , the equation of line is solved

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

222222222222+567954444=???

Answers

Answer:

222790176666

Step-by-step explanation:

`=¢✓¢¥✓¢[¥[wbwhdhnwjde

Answer: this took quite a w h i l e but.........

Step-by-step explanation:

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

22,790,176,666

Please help me I need an answer fast

Answers

roughly 37.5 but 37.3 should work

Somebody help me.. Make sure it's right.

Answers

I am the one who commented on your question "Who's good at Math", I am the locrival one to be specific but for me, the answer would be the first choice which is the "f(x)=400+15(x-40)". The first choice is my answer because if you compute it the equivalent is 13.3, it is also my answer because for all the choices, it is the only one positive.

Brainliest? Thanks!

find the values of x and y

Answers

Answer:

61=x cortical opposite angle

61=y corresponding angle

Answer:

61=x and 61=y

Step-by-step explanation:

I think that bout right

can someone please help me with this whole page asap !!!

Answers

what answers do u need

A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal

Answers

Answer:

213,645.6cm³

Step-by-step explanation:

Area of a cylinder is expressed as;

V = πr²h

r is the radius = 2cm

h is the height = 70cm

Get the volume of one rod;

V = πr²h

V = (3.14)(2)²(70)

V = (3.14)(4)(70)

V = 879.2cm³

one steel = 879.2cm³

243 rods = x

Cross multiply;

x = 879.2 * 243

x = 213,645.6

The company will need 213,645.6cm³ volume of steel to make 243 rods

Work out the value of x! Will award brainiest

Answers

Answer:

X=67.5

Step-by-step explanation:

90+X +3x =360

4x=360-90

X=270/4=67.5

#16
Leonard is baking cookies for the
band fundraiser. He knows that he
can sell each cookie for $1.25. His
mom has also donated $25.
Altogether he expects that between
selling his cookies and the money
from his mom the band will receive
$67.50. How many cookies
did he bring to the fundraiser?

Answers

Answer:

He brought 34 cookies to the fundraiser.

Step-by-step explanation:

1.25x + 25 = 67.50

1.25x = 67.50 - 25

1.25x = 42.50

x = 42.50/1.25

x = 34

Answer:

34 cookies in total.

Step-by-step explanation:

Well if he is selling cookies for $1.25 each and has a starter of 25$, we can already mark off 25$ from $67.50. Now it's just simple division, so 42.50/1.25 is 34 cookies being sold.

Raju took 5/6 h to complete his mathematics homework. He took 1/5 h less to complete his english homework. how many hours did raju take to complete his english homework? what was the total time spent by raju on his homework?

Answers

Answer:

English homework = 19/30h or 38 minutes

Total time spent = 22/15h or 88 minutes

Step-by-step explanation:

Mathematics homework = 5/6h

= 5/6 × 60

= 300/6

= 50 minutes

He took 1/5 h less to complete his english homework.

English = 5/6h - 1/5h

= 25h-6h/30

= 19/30h

= 19/30 × 60

= 1,140/30

= 38 minutes

English homework = 19/30h or 38 minutes

Total time spent on his homework = mathematics homework + English homework

= 5/6h + 19/30h

= 25h+19h/30

= 44/30h

= 22/15h

= 22/15 × 60

= 1,320 / 15

= 88 minutes

Identify the transformation, and its congruence transformation?

Answers

Answer:

Reflection

Step-by-step explanation:

You only flip the triangle it doesn't rotate or slide so its Reflection

2 (k-5) + 3k = k+6
so what does k=

Answers

Answer:

Step-by-step explanation:

2(k-5)+3k=k+6k=

We move all terms to the left:

2(k-5)+3k-(k+6k)=0

We add all the numbers together, and all the variables

2(k-5)+3k-(+7k)=0

We add all the numbers together, and all the variables

3k+2(k-5)-(+7k)=0

We multiply parentheses

3k+2k-(+7k)-10=0

We get rid of parentheses

3k+2k-7k-10=0

We add all the numbers together, and all the variables

-2k-10=0

We move all terms containing k to the left, all other terms to the right

-2k=10

k=10/-2

k=-5

Not sure sorry but wish I could help

What term is another word for x intercept

Answers

i think it’s an x axis

I NEED HELP ASAP!!! PLEASE SOMEONE HELP ME DONT SKIP!!!

Answers

Answer:

A. E = 20H

B. $380

Step-by-step explanation:

E = 20(19) since she worked 19 hrs. This equals 380

The Dubois family has $5000 set aside for an upcoming vacation in the family plans to spend 1/4 of this amount on gasoline for the drive and motel rooms along the way and 1/2 of the remainder on meals how much does the Dubois family spend on meal

Answers

Answer:

$1875

Step-by-step explanation:

Money available with Dubois family = $5000

Money to be spent on gasoline and motel room = [tex]\frac{1}{4}[/tex] of the total amount

Therefore,

Money to be spent on gasoline and motel room = [tex]\frac{1}{4} \times 5000 = \$1250[/tex]

Remaining amount of money = Total amount - Money spent on gasoline and motel room  

Remaining amount of money = $5000 - $1250 = $3750

As per question statement:

Half of the remaining money is to be spent on meals.

i.e. Money to be spent on meals = [tex]\frac{1}{2}\times \$3750 = \bold{\$1875}[/tex]

Therefore, the answer is:

$1875

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