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

Write the equation of the line that passes through the points (-4, 7) and (-6, -4).

Answers

Answer:

y = 11/2x + 29

Step-by-step explanation:

the slope goes up 11 and over 2 and the line crosses the y-axis at 29 so thats the y-intercept

Give three examples of equations where the solution will be unique that is only one solution is possible.

Answers

Answer:

5x = 3x

4+8t-y=y-t+8

98/r=34t

Step-by-step explanation:

I give Brainlliest! 15 pionts!
Write the decimal as a percent.

0.768 =

Answers

Answer:

76.8%

Step-by-step explanation:

All you have to do is multiply the decimal by 100.

Answer:

76.8%

Step-by-step explanation:

I just did a thing and got the answer -v-

What is the surface area of a cylinder with a radius of 6 cm and a height of 3 cm?
A.108cm
B.72cm
C.54cm
D.36 cm?

Answers

Step-by-step explanation:

2πr^2h

2*22/7*6*6*3

2*22/7*36*3

2*22/7*108

If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3

Answers

Answer:

y=-f(x)-3

Step-by-step explanation:

when f is negative it is reflected over the x-axis and -3 means to translate 3 units down

y = -f(x) – 3 describes the graphed function.

When f is negative it is reflected over the x-axis.

-3 means to translate 3 units down.

How do you identify a function?

By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.

What are examples of graph functions?

Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.

Learn more about graph functions here: https://brainly.com/question/4025726

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The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

Answers

hmmm i’m gonna say you’re mostly likely not gonna like that pizza because it is the least picked pizza.

Answer:

   

Step-by-step explanation:

   

Please help! I am so bad at math!

Answers

Answer:

PR=12

Step-by-step explanation:

2x+6=3x-6

6=x-6

12=x

Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double
the additive inverse of the other.
«+
C​

Answers

Given:

[tex]x^2+kx-98=0[/tex]

One of the two roots of the given equation is double  the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are [tex]\alpha[/tex] and [tex]\beta[/tex].

According to the question,

[tex]\beta=2(-\alpha)[/tex]        (Additive inverse of [tex]\alpha[/tex] is [tex]-\alpha[/tex])

[tex]\beta=-2\alpha[/tex]

If [tex]\alpha[/tex] and [tex]\beta[/tex] are roots of the quadratic equation [tex]ax^2+bx+c=0,[/tex] then

[tex]\alpha+\beta=-\dfrac{b}{a}[/tex]

[tex]\alpha\beta=\dfrac{c}{a}[/tex]

We have,

[tex]x^2+kx-98=0[/tex]

Here, a =1, b=k and c=-98.

[tex]\alpha+\beta=-\dfrac{k}{1}[/tex]

[tex]\alpha-2\alpha=-k[/tex]           [tex][\because \beta=-2\alpha][/tex]

[tex]-\alpha=-k[/tex]

[tex]\alpha=k[/tex]           ...(i)

Now,

[tex]\alpha\beta=\dfrac{c}{a}[/tex]

[tex]\alpha(-2\alpha)=\dfrac{-98}{1}[/tex]          [tex][\because \beta=-2\alpha][/tex]

[tex]-2\alpha^2=-98[/tex]

Divide both sides by -2.

[tex]\alpha^2=49[/tex]

Taking square root on both sides.

[tex]\alpha=\pm \sqrt{49}[/tex]

[tex]\alpha=\pm 7[/tex]

Using (i), we get

[tex]k=\pm 7[/tex]

Therefore, the value of k is either -1 or 1.

Which expression is equivalent to 2x^2 - 2x + 7?

Answers

Answer:

(o,7) vertical intercept

minimum (1/2 , 13/2)

A jar has twenty-three coins consisting of dimes and nickels. The total amount of money is $1.90. How many dimes and nickels are there?

Answers

Answer:

8 nickels=.40

15 dimes=1.50

The number of dimes is 15 and the number of nickels is 8.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.

Let d be the number of dimes and n be the number of nickels. Then the equation is given as,

d + n = 23                           ...1

0.1d + 0.05n = 1.90            ...2

From equations 1 and 2, then we have

0.1(23 - n) + 0.05n = 1.90

2.3 - 0.1n + 0.05n = 1.9

0.05n = 0.4

n = 8

Then the number of dimes is given as,

d + 8 = 23

d = 23 - 8

d = 15

The number of dimes is 15 and the number of nickels is 8.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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How far will a race car going 120 miles per hour travel in 3 hours

Answers

Answer:

360 miles

Step-by-step explanation:

to find the distance, multiply speed and time

120*3= 360

Can I have brainliest plz

Donna wants to calculate the height of a tree. She finds the length of the tree's shadow is 25 meters and the angle of elevation from the ground to the top of the tree is 30°. Find the height of the tree to the nearest whole number.

Answers

Answer:55

Step-by-step explanation:

help please I will give brainiest​

Answers

It should be D

If not I’m sorry

can yall do the work of the answer 95 to this

Answers

9514 1404 393

Answer:

  ? = 95°

Step-by-step explanation:

Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.

  arc QR + arc RS + ? = 360°

  190° +75° +? = 360°

  ? = 360° -265° . . . . . . subtract 265° from both sides

  ? = 95°

select the equation that represents the function given in the table below:

Please help!

Answers

Answer:

im to lazy to do an equation

Step-by-step explanation:

help me plssssssssssssssssssss

Answers

Answer:

D

Step-by-step explanation:

It says she has a maximum, that means she cannot go pass the amount ($50)

It costs $7 to get in so you have to take that from what she has ($50)

so you need to have the opposite which would be to add on the left to spend

Find the slope between the points: (3,4) and (-1,-2)

Answers

Answer:

3/2 hope this helps hqhahjajja

A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650

Answers

Answer:

a.

65,000

Step-by-step explanation:

There are 65000 possibilities of 4 character-password

What is a password?

A password is a security code that is used for verifying identities

The password has 4 characters.

The password must begin and end with a letter.

So the selections are:

First = 26

Last = 25

The other selections are:

Second = 10 digits

Third = 10 digits

So, the number of password is:

Password = 26 * 10 * 10 * 25

Evaluate

Password = 65000

Hence, there are 65000 possibilities of 4 character-password

Read more about arrangements at:

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What is the value of s ?
Please help
No guessing

Answers

Answer:

s = 17

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

where a = 8

           b = 15

           c = s (which is unknown)

plugin values into the formula:

a² + b² = c²

8² + 15² = s²

s = √(64 + 225)

s = √289

s = 17

Given the table, what is the linear equation?



x y

1 7

2 10

3 13

4 16

Answers

Answer:

yes

Step-by-step explanation:

X + 3y

I think this is true. I haven’t done this in a few years.

Write down the equation of a line whose slope is -7 and crosses the y-axis at 7. Express in slope-intercept form.

Answers

Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

y= slope x+ y intercept

The equation of the line having the slope -7 and y-intercept  is 7 is: y = -7x + 7

What is the equation of line?

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

We are given that the slope m is -7,

and the line crosses the y-axis at 7.

so the value of c = 7

Therefore, we can substitute these values into the slope-intercept form to get:

y = -7x + 7

So the equation of the line is y = -7x + 7.

To know more about Line check:

https://brainly.com/question/17188072

#SPJ3

50 points.


Record the simplified expression

Answers

Answer:

-4x+5

Step-by-step explanation:

-(4x-2) change sign of each in parenthesis so they are now -4+2

now you have -4x+2+3 add like terms

now you have -4x+5

Distribute

[tex]\sf \longmapsto−4x+2+3[/tex]

Combine like terms

[tex]\sf \longmapsto−4x+2+3[/tex]

[tex]\sf \longmapsto(−4x)+(2+3)[/tex]

[tex]\sf \longmapsto−4x+5[/tex]

7y-(9+4y)= -3
y=?
Rest in peace 999

Answers

Answer:

y = 2

Step-by-step explanation:

Given

7y - (9 + 4y) = - 3 ← distribute parenthesis by - 1

7y - 9 - 4y = - 3 , that is

3y - 9 = - 3 ( add 9 to both sides )

3y = 6 ( divide both sides by 3 )

y = 2

Answer:

you are not a brainly bot

Step-by-step explanation:

what is 2/3x + 1/4x= 6 ??????

Answers

Use Cymath to find your answer

Answer:

x=72/11

Step-by-step explanation:

A cookie recipe uses
cup of sugar for 2 dozen cookies. How many cookies can be made with 1 cup of sugar?
O A. 36
OB. 12
O C. 48
D. 24
PLSSS HURRY

Answers

D 21 a dozen is twelve so 2 dozens to a cup would be 21

Please help meeeeee!!!!​

Answers

Answer:

x = 30

Step-by-step explanation:

As we know, the angles inside of a triangle added together all equal 180°, so you would combine 3x + 2x + x = 180°. And then from there you can solve.

3x + 2x + x = 180°

[Combine like terms] 6x = 180°

[Divide 6 from both sides of the equal sign] x = 30°

Hope this helps!!

Plz help me with this

Answers

Answer:

The first choice

Step-by-step explanation:

It says that its decreasing so the slope is negative.

It also starts of with 565 so that's the y intercept

someone please help!! 60 points!!

Answers

Answer:

It C am sure it correct....

Answer:

I think the answer would be C.

The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer

PLEASE HELP

Answers

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 km

In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

Core Algebra
Englis
Solving for an Unknown Using the Distributive Property
180(n-2)
The equation a = represents the angle measuresya, in a regular n-sided polygon. When the equation is
solved for n, n is equal to a fraction with a denominator of a - 180. What is the numerator of the fraction?

Answers

Answer:

-360

Step-by-step explanation:

I got it right

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