Is the function y =|x – 3| a one-to-one function? Justify your answer.

Answers

Answer 1
A one-to-one function must pass both the vertical and horizontal line tests.
The vertical line test shows it’s a function.
The horizontal line test shows it’s one-to-one.

If you look at the graph of this function (the red graph is the function, the green line is the horizontal line test):
it passes the vertical line test (so it’s a function), but it does not pass the horizontal line test.
Therefore it is not one-to-one
Is The Function Y =|x 3| A One-to-one Function? Justify Your Answer.

Related Questions

Let A be the set of whole numbers bigger than 3 and smaller than 10 and B the set of positive whole numbers smaller than
8. Which of the following sets is equal to A U B?

Answers

Answer:

A union B is 4,5,6,7!!!!!!!!........

Find g (x) - f (x).

g (x) = x^2 + 1 and f (x) = 2x + 5

Answers

Answer:

x^2 - 2x - 4

Step-by-step explanation:

g(x) - f(x) = (x^2 + 1) - (2x + 5) = x^2 + 1 - 2x -5 = x^2 -2x +(1-5) = x^2 - 2x - 4

Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.

(Answer quickly)

Answers

The slope is undefined

Answer:

B

Step-by-step explanation:

x = 4 is a vertical line parallel to the y- axis with an undefined slope

Find the smallest value of p such that 525 X p is a perfect square.

Answers

Answer:

p = 21

Step-by-step explanation:

525 × 21 = 11,025

√11,025 = 105

Convert the following number to index form, give your answers to two decimal places:

4 735 000 000

Answers

Answer:

4.735 x 10^9 i believe

Step-by-step explanation:

√10•√6

SHOW HOW YOU GOT YOUR ANSWER​

Answers

√10 · √6 = √(10 · 6) =

= √60 = √(4 · 15) = √(2² · 15) = 2√15

Help Please give Explanation, I will give brainliest please help NO LINKS OR I WILL REPORT YOU

Answers

Answer:

the answer is c none of the above

The sum of 7 times a number and 5 is the same as the difference of the number and 7. Find the number.

Answers

Answer:

pls mark me a brainliest

let x represent the number

7(x) + 5 = 7 - x

so we now group like terms

7x + x = 7 - 5

8x = 2

we now divide through by 8

[tex] \frac{8x}{8} = \frac{2}{8} [/tex]

[tex]x = \frac{1}{4} [/tex]

the final answer for the number is 1/4

Hope this will help

Have a good day

Fourteen subtracted from 2 times a number is 28. Write an equation?

Answers

Step-by-step explanation:

let the unknown number be x

1St step: twice the number is 2(x) =2x

2nd step: 2x -14

3rd step: 2x - 14=28...

Simplify the algebraic expression
(10x2 + 11y) - (3x2 + y)

Answers

[tex]\large \mathfrak{Solution : }[/tex]

On simplification we get :

[tex]10 {x}^{2} + 11y - 3 {x}^{2} - y[/tex]

[tex]7 {x}^{2} + 10y[/tex]

what is -8m + 3x - 2m + 7x and please explain why.

Answers

Answer:-10m+10x

Step-by-step explanation: add -8m plus -2m which gives you -10m and then add 3x plus 7x which gives you 10x so the final answer is -10m+10x.

The animal rescue has 3 cats for
every 8 dogs. If there are 20 more
dogs than cats, how many dogs are
there?
dogs

Answers

Answer:

32

Step-by-step explanation:

8-3=5

20÷5=4 sets

Hence, no. of dogs=4×8

=32

Let cats be x

Dogs be x+20

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{x+20}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto 8x=3(x+20)[/tex]

[tex]\\ \sf\longmapsto 8x=3x+60[/tex]

[tex]\\ \sf\longmapsto 8x-3x=60[/tex]

[tex]\\ \sf\longmapsto 5x=60[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{60}{5}[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

[tex]\\ \sf\longmapsto x+20=12+20=32[/tex]

Jason read 25 books and Raul read 35 books. Real said he read 10 times as many books as Jason. Is he correct

Answers

Answer: NO

Step-by-step explanation:

Because 10 × 25 is 250 not 35

please answer correctly!! ill give you 35 points!!

Answers

Answer:

If you add the answer is 27 but if you multiply the answer is 720.

Step-by-step explanation:

Hope this helps.

Solve for F. m/F = 1/a

Answers

Answer:

F = ma

Step-by-step explanation:

Given

[tex]\frac{m}{F}[/tex] = [tex]\frac{1}{a}[/tex] ( cross- multiply )

F = ma

which is bigger? 0.3 repeating or 0.6

Answers

Answer:

Compare the numbers 3.333/10 and 6/10, and that will allow you to determine which of the numbers is larger.

6 is closer to 10 on the number line than 3.33333. Thus the number that is closer to 10, is larger than the other number which is not.

So in this case it would be 6/10.

what expression is equivalent to (5^4) 2
25^8
5^8
20^2
5^6

Answers

Answer:

5 x 8

Step-by-step explanation:

Answer:

[tex]5^{8}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](5^4)^{2}[/tex] = [tex]5^{4(2)}[/tex] = [tex]5^{8}[/tex]

I NEED HELP PLZ I really need to know the answer because I’m falling rn

Answers

Money is your problem. if you make money today your help is coming

Answer:

EG=104

SEE THE IMAGE FOR SOLUTION

What is the slope and y- intercept

Answers

Answer:

4x,5y

Step-by-step explanation:

you look at it

Which expression is equivalent to (3−22)+5?
All the Second 2s are exponent

5−22

22−5

5−32

​32−5​

Answers

Answer:

3²-5

Step-by-step explanation:

(3-2²)+5=4

3²-5=4

Answer:

D

Step-by-step explanation:

First off, lets simplify (3-2^2)+5 = -1+5 = 4

We will need to  find an expression that will equal to 4

lets try 1, 5-2^2 = 1, 1 =\ 4

Alright, lets try 2, 2^2 -5 = -1, -1=\5

Now lets try 3, 5 - 3^2 = -4, -4=\4

So by process of elimination we can say that D is correct by I will show you why it is correct. 3^2 -5 = 4, 4=4

If you have any questions ask me.

Hope it helped :)

What's the sum of 2∕5 and 2∕4 ? Question 4 options: A) 6∕7 B) 9∕10 C) 8∕20 D) 10∕20

Answers

[tex] \frac{2}{5} + \frac{2}{4} = \frac{2}{5} + \frac{1}{2} = \frac{4}{10} + \frac{5}{10} = \frac{9}{10} [/tex]

Answer: B)

Please answer!!! 25 points! I give brainliest!!!!!!!!!

Answers

Answer:

2x3xX you solve this with 1 linear 2 nonlinear 3 nonlinear 4linear 5linear 6 nonlinear

Step-by-step explanation:

jennifer works at whataburger and earned 168.75 last week. If she worked 22.5 hours, how much does she earn per hour?

Answers

Answer:

7.5

Step-by-step explanation:

168.75 divided by 22.5 = 7.5

$7.50 dollars an hour.

7.50 x 22.5 = 168.75

7.5 168.75/22.5 =7.5 an hour

1.Write this sentence as an equation.Do not solve it.
Two times the difference of three times a number and seven is a number.

7.B'Elanna Torres tries to combine her like terms in 3(2x+4)-2x and got out 16x but Tom Paris thinks she made a mistake.It is your job to explain her mistake and solve the problem correctly.
Mistake: 3(2x+4)-2x=16x

3.The YMCA has a new rectangular pool with a perimeter of 108ft.The deep ends length is d ft.The shallow ends length is 15 ft.MacGyver knows that the width of the entire pool is 3 ft less than the deep ends length and can be represented by d-3.Solve for d.​

Answers

Problem 1

x = some unknown number

3x = three times a number

3x-7 = difference of three times a number and seven

2(3x-7) = two times the difference of three times a number and seven

2(3x-7) = x

The last equation is formed because the expression we built up is equal to the original number in question

Answer:  2(3x-7) = x

===========================================================

Problem 2

Use the distribution rule to get

3(2x+4)-2x

3*2x+3*4-2x

6x+12-2x

From here, we combine like terms. That means we combine the 6x and -2x to get 4x

So 6x+12-2x simplifies to 4x+12 and not 16x

How did she get 16x? Possibly because she mistakenly thought she could add 4x to 12 to get 16x. This only works if the 12 had x attached to it.

In other words, this is valid:  4x+12x = 16x but this is not 4x+12 = 16x

===========================================================

Problem 3

L = length = horizontal dimension = (d+15) ft

W = width = vertical dimension = (d-3) ft

P = perimeter of the rectangle = 108 ft

P = 2(L+W)

108 = 2(d+15+d-3)

108 = 2(2d+12)

108 = 4d+24

4d+24 = 108

4d = 108-24

4d = 84

d = 84/4

d = 21

The deep end is 21 feet long.

This means the overall horizontal length is d+15 = 21+15 = 36 feet and the the vertical width is d-3 = 21-3 = 18 feet

The overall dimensions of the rectangular pool are 36 ft by 18 ft

Answer:  d = 21

8.64 ÷ 2.25 = ______

Answers

Answer: 3.84

Step-by-step explanation:

cause it is use calculator

Answer:

8.64 ÷ 2.25=3.84

Your answer: 3.84

Step-by-step explanation:

I need to know [35 - (8 + 2) x 3]

Answers

Q) [35 - (8 + 2) × 3] = ?

→ 35 - {(8 + 2) × 3}

→ 35 - {10 × 3}

→ 35 - 30

→ 5 is the correct answer.

what is the equation of the line, in slope-intercept form, of a line with a slope of -1/4, which passes through the point (-4,6)

Answers

Answer:

y = (-1/4)x + 5

Step-by-step explanation:

y = mx + b

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

Solve for b first

6 = (-1/4)-4 + b

6 = 1 + b

6 - 1 = b

5 = b

y = (-1/4)x + 5

Answer:

y=-1/4x+5

Step-by-step explanation:

We need b also known as y intercept

slope-intercept form: y=mx+b

plug in x and y points

and we know m or slope is -1/4

(6)= -1/4 (-4) +b

we multiplied -1/4 by -4 which gave us +1

6= 1+b

6-1=b

5=b

Now we know what b is, so

y= -1/4x + 5

Soft drinks are sold in 1.5-liter bottles.
Determine the volume in cubic inches (in^3) of a 1.5-liter bottle.

Answers

The volume in cubic inches (in^3) of a 1.5-liter bottle. is 91.53 cube inches.

What is Volume?

Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means, the amount of three-dimensional space that a closed figure can occupy is measured by its volume.

Given: Volume in liter= 1.5 liter

To covert the volume from liter to inches cube

we know,

1 liter= 61.02 inch cube

So,

1.5 liter= 1.5*61.02

1.5 liter= 91.53 cube inches.

Hence, the volume in cube inches is 91.53 cube inches.

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ2

What is the solution to the system of equations graphed below?
y = x. 3
y=3x+1
y = x+3
y = 3x + 1
A. (0,1)
B. (1.4)
C. (1,3)
D. (0,3)
Help pls

Answers

Answer:

(1,4)

Step-by-step explanation:

Let y (upper eq) = y (lower eq)

x+3 = 3x+1

(transposing similar numbers)

3x-x = 3-1

2x = 2

then x = 1

substituting x in any of the equation, say

y = x+3

y = 1 +3

y = 4

therefore (1,4)

check again the lower equation

y = 3x + 1

y = 3(1) + 1

y = 4

therefore (1,4)

A nurse mixes 40 cc of a 70% saline solution with a 20% saline solution to produce a 36% saline solution. How much of the 20% solution should he use?
00
The amount of 20% saline solution needed is
CC.
B

Answers

We will need 85cc of 20% saline solution for the mixture

Let the amount of 20% saline solution be "a"

If a nurse mixes 40 cc of a 70% saline solution with a 20% saline solution to produce a 36% saline solution, then the finished product will be 40 + a cc which containing 36% saline solution.

The saline content will therefore be expressed as:

(70% of 40)+20% of a = 36% of (40 + a)

0.7*40 + 0.2a = 0.36(40 +a)

28 + 0.2a = 14.4+0.36a

28 - 14.4 = 0.36a - 0.2a

13.6= 0.16a

a = 13.6/0.16

a = 85

This means that we will need 85cc of 20% saline solution for the mixture

Learn more here: https://brainly.com/question/7314699

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