what is the range of the function below in set builder notation? y=|x-3|

Answers

Answer 1

Answer:  [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

What Is The Range Of The Function Below In Set Builder Notation? Y=|x-3|

Related Questions

Explain what mistake is made in the following false statement: 3(x+4)(x+7)=(3x+12)(3x+21)

Answers

Answer: The 3x+21

Step-by-step explanation:

3(x=4) = (3x+12) The (3x+12) is being multiplied by (x+7) and the 3 should only be distributed to (x+4) which meant the the equation when simplified should have become (3x=12)(x+7).

what is the answers to
8x-2-5x+7= ​

Answers

Answer: 3x +5

Step-by-step explanation:

Group the variables first 8x-5x is 3x. Then look at the numbers -2+7 is 5.

You can't combine letters and numbers so it's as far as you can go.

Which of these points is farthest from the origin?
A. (0,8)
B.(2, 11)
c.(-6,-8)
D. (-12,0)

Answers

Answer:

d:-12,0

Step-by-step explanation:

Can someone please do these questions or try to find the answers to them​

Answers

Answer:if you look up the name of your work sheet into google and type in answer key after it will show up w the answer key

Step-by-step explanation:

Faith lost 2 1/2 pounds in 10 days. If
Faith lost the same amount of pounds each
day, how much weight did Faith lose per
day?
Please help me

Answers

Answer:

1/4 pound

Step-by-step explanation:

2 1/2 divided by 10

=

1/4

or

5/2 divided by 10

=

1/4

Answer: 1/4 lbs

Step-by-step explanation:

To find weight lost each day, you have to divide total weight lost 2 1/2 lbs by total number of days 10.

(2 1/2) / 10 = 5/2 * 1/0 = 1/4 lbs lost each day

pleaseeeeeeee help me

Answers

Answer:

by my best guess, x = -5 (negative five)

Step-by-step explanation:

What is 180(n-2)=s when solving for N​

Answers

Answer:

n = s/180 +2

Step-by-step explanation:

180(n-2)=s

Distribute

180n - 360 =s

Add 360 to each side

180n -360+360 = s+360

180n = s+360

Divide each side by 180

180n/180 = s/180 + 360/180

n = s/180 +2

2|3x - 2|= 14 how would you solve this absolute value equation?

Answers

Answer: 2. |3x-2|= 14

|3x-2|=2.7/2

|3x-2|=7

x∈ {3,-5/3

Step-by-step explanation: \frac{5}{3}

Answer:

x = 3x = - 5/3

Step-by-step explanation:

2|3x - 2|= 14|3x - 2|= 7

1) 3x - 2 ≥ 0 ⇒ 3x ≥ 2 ⇒ x ≥ 2/3

3x - 2 = 73x = 9x = 3  is valid root as 3 ≥ 2/3

2) 3x - 2 < 0 ⇒ 3x < 2 ⇒ x < 2/3

- (3x - 2) = 73x - 2 = -73x = -5x = -5/3  is valid root as -5/3 < 2/3

Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 miles?

Answers

Answer:

0.632

Step-by-step explanation:

divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe

Can someone help plz

Answers

Answer: x=-7

Step-by-step explanation:

1) The angles of a triangle are equal to 180

2) Add your angles together and set them equal to 180 like this:

x+59+x+51+84=180

3) Combine like terms:

2x+ 194 =180

4) Subtract 195 from both sides:

2x+ 194 =180

    - 194   -194

2x = -14

5) Divide by 2 on both sides

2x= -14

/2     /2

x= -7

A number is rounded to the nearest tenth and hundredth. What is the number that was rounded? (2 points)
Number Rounded to Nearest Tenth Rounded to Nearest Hundredth
0.6
0.58
a
0.574
b
0.579
С
0.585
O d
0.681

Answers

Answer: The answer is B i just did this test

Step-by-step explanation:

The only number on the list that matches the rounding requirement is 0.579. Hence, the correct option is B.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We can consider what the offered numbers are when they are rounded to hundredths:

 0.574 ⇒ 0.57

 0.579 ⇒ 0.58 . . . matches the requirement

 0.585 ⇒ 0.59

 0.681 ⇒ 0.68

The only number on the list that matches the rounding requirement is 0.579.

Hence, the correct option is B.

Learn more about rounding numbers  here:

https://brainly.com/question/1285054

#SPJ2

Yesterday, Tiffany's Doughnut Shop sold 1 1/2 times as many chocolate doughnuts as glazed doughnuts. If they sold 0.7 of a tray of glazed doughnuts, how many total doughnut trays did they sell?

Answers

Answer:

learn it

Step-by-step explanation:

Which function describes the table of values?

Answers

Answer:

C. f(x)=3x-1

eg. f(2)=3(2)-1 = 5

Solve for X: -7 06 6 6- 0-6

Answers

Answer:

-6<x<9 is the right option.

Find the distance between the points (0,-8) and (8,-3). The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The distance in radical expression form is d=[tex]\sqrt{89}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(8-0)^2+(-3-(-8))^2}\\d=\sqrt{(8)^2+(5)^2}\\d=\sqrt{(64)+(25)}\\d=\sqrt{89}\\[/tex]

Perform the indicated row operations



Answers

Answer:

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Step-by-step explanation:

Given matrix is,

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

Operations performed,

-10R₂ → R₂

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

3R₃ → R₃

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Answer:

the multiple choice is A

Step-by-step explanation:

can someone help me with this please

Answers

Answer:

I think the answer is E.

Step-by-step explanation:

-3 -4= -7 and that's less than nine.

if x was 3 it would be -7 + 3 = -4 which is still less than nine

if x was -11 it would be -7 -11 = -18 which is also lower than nine

if x was -3 it would be -7 -3 = -10 that's less than nine as well

Answer:

I only

Step-by-step explanation:

I) 3

9 > -3 - 4(3)

9 > -3 - 12

9 > -15

9 is great than -15 so the value of 3 works.

II). -11

9 > -3 - 4(-11)

9 > -3 +44

9 > 41

9 is actually less than 41 so the value of -11 does not work

III). -3

9 > -3 - 4(-3)

9 > -3 + 12

9 > 9

9 is equal to 9, not greater than so the value of 3 does not work

(7x+2y)^2-25y^2 factorise this pls.
pls help me!! Any body there!!​

Answers

Answer:

(7x + 5y) (7x - 5y)

QUESTION 8 A motorboat leaves a harbor and travels at an average speed of 6 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 12 mph toward the same island In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

Answers

Answer:

2 hours

Step-by-step explanation:

Distance = rate × time

That is,

d=rt

Let

t = time (hours) cabin cruiser traveled

t + 2 = time (hours) motorboat traveled

motorboat = 6 mph

Cabin cruiser =12 mph

Motorboat distance

d=rt

d = 6(t + 2)

Cabin cruiser distance

d=rt

d = 12(t)

Equates the two distance

6(t + 2) = 12t

Open bracket

6t + 12 = 12t

12 = 12t - 6t

12 = 6t

Divide both sides by 6

t = 12 / 6

= 2

t = 2 hours

The cabin cruiser will be alongside the motorboat in 2 hours

a
Example: s Mr. Thompson works a basic week of 40 hours and his basic rate is $18 per hour
Calculate his basic wage for the week

Answers

Answer:

$720 in one week

Step-by-step explanation:

40 * 18

$720

Best of Luck!

Answer:

$720

Step-by-step explanation:

The equation set up for this problem is 40x18 because for every one hour Mr. Thompson works, he earns $18.

What is the value oíz in the equation 3x - y = 13, when y=272
05
45

Answers

Ummmm .. I think this should answer your question I think

helpp whats the answer

5x=15

Answers

Answer:

[tex]\boxed{\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x=15[/tex]

and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.

[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=\frac{15}{5}[/tex]

[tex]x=3[/tex]

Let's check our solution. Plug 3 in for x and solve.

[tex]5x=15[/tex]

[tex]5(3)=15[/tex]                      

[tex]15=15[/tex]

This checks out, so we know our solution is correct.

The solution to 5x=15 is x=3.

Using a portion of her savings as a down payment, Sarah bought a new car in order to commute to her new job, reducing her savings account to only $2220. From her expendible income of $2440, essential expenses (fixed) are $1010 per month, essential expenses (flexible) are $500 per month, and nonessential expenses are $430 per month. Sarah has decided to reduce her nonessential expenses for 9 months to only $230 per month, in order to build her savings back up to $5820. Then she will return her nonessential expense budget to the original $430 per month. Choose the reason or reasons why Sarah would spend less money every month temporarily in order to have this fund. I. She realizes the importance of having an emergency fund. II. She wants to build up her retirement account. III.She understands that reducing expenses can increase savings. a. I b. II and III c. I and III d. II

Answers

Answer:

C. I and III

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Rylie paid $12 for two cans of racquetballs as shown in the tape diagram, where the green bars represent the amount she spent, and the blue bars represent the number of cans she bought. She needs to purchase three cans of racquetballs. How much will she pay?

Answers

The answer Is 18 dollars

Answer:

18$

Step-by-step explanation:

If Rylie paid 12$ for two cans, then divide twelve by two then you'll get 6$ so 6$ is one can so multiply six by three and you will get 18$ for three cans.

sorry if I'm wrong I'm trying to help.

How do you solve a problem involving squeeze theorem?

Answers

Answer:

Step-by-step explanation:

if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.

Review the following equation. Redo the work for the equation. What is the
value of x?
2(x + 1) = x - 4(x-2)
2x 2 = x-4(x-2)
2x2 = x - 4x - 8
2x - 2 =-3x - 8
-6 = -5x
-6/5 = x

What is the answer?:
x= 6/5
x= 5/7
x= 7/5
x= -3/5

Answers

Answer:
x = 6/5

Step by step explanation:

2x + 2 = x - 4x + 8

2x + 2 = -3x + 8

2x + 3x = 8 - 2

5x/5 = 6/5

x = 6/5

-(x + 4) – 3x + 8 = 4(x – 3)

Answers

Answer:

x = 2

Step-by-step explanation:

instructions above :)

I need help solving 8g+10=35+3g. Please help!!

Answers

Answer:

g = 5

Step-by-step explanation:

Step 1: Write out equation

8g + 10 = 35 + 3g

Step 2: Subtract 3g on both sides

5g + 10 = 35

Step 3: Subtract 10 on both sides

5g = 25

Step 4: Divide both sides by 5

g = 5

someone PLEASE PLEASE HELP!! I need this in one hour!! (20 POINTS)

PLEASE SOMEONE HELP

Answers

Answer:

X=22  (Should make the rest of the problem easy to solve)

Step-by-step explanation:

22x2 + 1 = 45

22 + 5 = 27

45 + 27 = 72 (The perimiter)

[tex]\large\text{Hello there! :)}[/tex]

[tex]\text{Formula for the perimeter: P = 6x + 12}\\\\\text{Dimensions: l = 21, w = 15}\\\\\text{Verification below.}[/tex]

[tex]-=-=-==-=-=-=-=-=-=-=-[/tex]

[tex]\text{Begin by writing an equation for the perimeter of the rectangle.}\\\\\text{Formula: P = 2l + 2w}\\\\P = 2(2x + 1) + 2(x + 5)\\\\P = 4x + 2 + 2x + 10\\\\\text{Combine like terms:}\\\\\boxed{P = 6x + 12}\\\\\text{Solve for the dimensions:}\\\\72 = 6x + 12\\\\\text{Subtract 12 from both sides:}\\\\60 = 6x\\\\\text{Divide both sides by 6:}\\\\x = 10\\\\\text{Substitute in 10 for x in the equations for each side length:}\\\\l = 2x + 1\\\\l = 2(10) + 1\\\\\boxed{l = 20 + 1 = 21units}[/tex]

[tex]w = (10) + 5\\\\\boxed{w = 15 units}[/tex]

[tex]\text{Use the formula for the area of a rectangle to verify. A = l * w:}\\\\\boxed{A = 15 * 21 = 315 units^{2} }[/tex]

i need to know the answer as soon as possible.

Answers

0.35p

Because the price also indicates percentage

Answer:

p - 0.35, so C.

It's not A because that's the regular price times the percentage off.

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