What is the domain and range for the following function? f(x)=|x-2|+3

What Is The Domain And Range For The Following Function? F(x)=|x-2|+3

Answers

Answer 1

Domain: All real numbers. Inequality Notation: -infinity<x<infinity, Interval notation: (-infinity,infinity).

_______

Range: All real numbers greater than or equal to 3. Inequality notation: x ≥ 3, Interval Notation: [3,infinity).


Related Questions

The formula for profit is
P = R - C.
a. Solve the formula for R.
b. Use the new formula to find the value of R given that
P = $350 and C = $520.

Answers

Answer:

a) R=P+C

b) $870

Step-by-step explanation:

a)

since P=R-C we can do the following to solve the equation for R:

P=R-C

P+C=R-C+C (add C to both sides to get R by itself)

P+C=R

b) P=350  C=520

since R=P+C,

R=350+520

R=870

Answer:

Use the new formula to find the value of R given that


A 20 gallon tank is full. How many gallons are in the tank?

Answers

Answer:

20???

Step-by-step explanation:

20 gallons because it is full and the most that can be filled up is 20 gallons

A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

The unit price are:

$0.285 for the 10.5 ounce package

$0.272 for the 29.3 ounce package.

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Step-by-step explanation:

From the question:

A 10.5-ounce package costs $2.99.

The unit price = 1 ounce.

10.5 ounce = $2.99

1 ounce = x

10.5 ounce × x = 1 ounce × $2.99

x = 1 ounce × $2.99/10.5 ounce

x = $0.2847619048

The unit price = $0.2847619048

Approximately = $0.285

A 29.3-ounce package costs $7.98.

The unit price = 1 ounce.

29.3 ounce = $7.98

1 ounce = x

29.3 ounce × x = 1 ounce × $7.98

x = 1 ounce × $7.98/29.3 ounce

x = $0.2723549488

The unit price = $0.2723549488

Approximately = $0.272

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Answer: i did this test

Step-by-step explanation:

Complete the square to re-write the quadratic function in vertex form:
y = x2+ 10x - 2

Answers

Answer:

            [tex]\bold{y=(x+5)^2-27}[/tex]

Step-by-step explanation:

                                      [tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]

Which angles are vertical angles?

Answers

Answer:

<DCA and <BCF

Step-by-step explanation:

The vertically opposite angles are the angles <DCA and <BCF. These angles are always equal.

When two lines cross, two angles that are vertical two one another are equal. They are know as vertically opposite angles. When two straight lines cross each other, four angles are produced. The two vertically opposite have the same values.

An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458

Answers

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

Lines Project Journal
need help for number 3​

Answers

Answer:

Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.

Example:

Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).

First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.

We have: |-2-(-7)| = |5| = 5.

Then repeat with the y-coordinates.

We have: |8-(-5)| = |13| = 13.

NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.

Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:

[tex]5^{2}[/tex]  +  [tex]13^{2}[/tex]  = 25  +  169  =  194

Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:

[tex]\sqrt(194)[/tex]  =  13.93

By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.

The general formula for distance between two points is the following:  [tex]\sqrt{x^2+y^{2}[/tex]  , where x and y are the change in x and y between the two points.

Find the area of the rectangle contained within the following four lines

x =1, x = -2 , y= -3, y=2



How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION

Answers

Answer:

should be 15 hope I helped you out.

Step-by-step explanation:

Answer:

15 sq unit

Step-by-step explanation:

Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.

the length of the said rectangle will be l = 1 + (-2)

and the breath b = 2 + (-3)

Area= lxb = 15 sq.unit

help me please, it’s urgent. i know how to solve this but how does the equation go?

Answers

Answer:

Equation:

10x-5= 4x+25

And x=5

0.52 X 2.1 =
Help i don’t understand

Answers

Answer:

1.092

Step-by-step explanation:

Describe the transformation
A) reflection across the y-axis
B) reflection across the x-axis
C) translation 4 units to the right
D) reflection across the line y=x

Answers

Option A is correct answer, reflection across y axis

Answer:

A

Step-by-step explanation:

Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When he filled the tank, he recorded the mileage as 24,033 miles. It cost him $83.38 to fill his completely empty gas tank. Then If gas cost $3.79 per gallon, how many gallons of gas can his tank hold? Then When he got to their destination there was exactly ¼ that amount of gas left in the tank. The new mileage on the truck was 24,297 miles. Determine the gas mileage, in miles per gallon, for the trip. How many gallons were used? How many miles were driven? How many miles per gallon did his truck get?

Answers

Step-by-step explanation:

Given data

initial mileage=24,033 miles.

cost to fill tank=$83.38

cost per gallon= $3.79

1. capacity of tank=83.38/3.79=22 gallons

remianing gas= 1/4*22= 5.5gal

gas used= 22-5.5= 16.5gal

new mileage= 24,297 miles.

mile covered= 24,297 miles.-24,033 miles.

=264miles

miles per gallon is =264/16.5

=16miles per gallon

Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
322 - 5w2

Answers

Answer:

282

Step-by-step explanation:

322- 5(4)2

322-40

282

Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?

Answers

Answer:

18.3

Step-by-step explanation:

384.3 divided by 21

(x - 3)? > -3(x + 2) for x = 3

Answers

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

PLEASE HELP ME GIVING 50 POINTS!!! A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?

Answers

Answer:

75x+160<760

Step-by-step explanation:

uhh it should be that if it´s not i´m sorry

Answer:

75x+160>760

Step-by-step explanation:

A 24-ounce bag of name brand of cereal is $1.19. How much is it per ounce? Round to the nearest cent.

Answers

Answer:

It would be around 5 cents an ounce

Step-by-step explanation:

0.04958333333 would be the answer but you have to round to the nearest cent so the correct and proper answer would be .05 cents per ounce

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!

send help pleaseeeeeee

Answers

Answer:

The answer is d 1:2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

they are similar because AB/DE=BC/EF=CA/FD = 10/20 =6/12 = 7/14 = 1/2

(SSS) the ratio ABC to DEF is 1:2

dose anybody know this? could you provide the step by step

Answers

17 people because if they spend $300 the equation 300=5p+215, then subtract 215 on both sides then it would be 85=5p and then you divide 5 by 85 and you have 17 (sorry if i’m wrong!)

Solve for x. 0 = 2x² + 3x + 5

Answers

Answer: No real solutions.

Step-by-step explanation:

Round 7,954 to the place named.

Answers

Answer:

8.0

Step-by-step explanation:

Answer:

8.0, 7.95, 8.0

Step-by-step explanation:

I don't know how I'm supposed to explain this but um. Yeah those are the answers

-2 = ( 4 + z ) / -2
I need help answer fast

Answers

Z=0 hope this helpsssss

From Jacksonville to Washington is 711 miles. By bus it takes 3 hours more to travel to Washington than it takes by train. The train from Jacksonville to Washington travels at 79 mph, while the bus travels at 59.25 mph. Find the time it takes to travel to Washington by train, and by bus.

Answers

Answer:

Train =9 hours

Bus =12 hours

Step-by-step explanation:

Find attached the solution

Let the time taken by train be x

So the time taken by bus = 3+x

Speed of train =79 mph

Speed of bus = 59.25mph

Which triangle correctly shows that the side opposite the larger angle is the larger side? A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees. A triangle has side lengths of 5, 5, 5 and angle measures of 60 degrees, 60 degrees, 60 degrees. A triangle has side lengths 5, 13, 12 and angle measures of 90 degrees, 67 degrees, 23 degrees.

Answers

Answer:

C) is your choice

Step-by-step explanation:

Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? (1 point)

x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right

Answers

Answer:

A number line with a closed circle on 6 and shaded to the right.

Step-by-step explanation:

Answer:a number line with a closed circle on 6 and shading to the right

Step-by-step explanation:I think I’m right! Good luck

Evaluate the expression 4.02 + 3y for x = 5 and y =6

Answers

4.02 + 18 = 22.02
Hope this helps:)

Viserys deposited $10000 in to an account that pays a simple interest rate of 5%. How long will it take for his money to double ?

Answers

Answer:

Somebody once told me the world is gonna roll me

I ain't the sharpest tool in the shed

She was looking kind of dumb with her finger and her thumb

In the shape of an "L" on her forehead

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Verse 2]

It's a cool place, and they say it gets colder

You're bundled up now, wait 'til you get older

But the meteor men beg to differ

Judging by the hole in the satellite picture

The ice we skate is getting pretty thin

The water's getting warm so you might as well swim

My world's on fire, how 'bout yours?

That's the way I like it and I'll never get bored

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

All that glitters is gold

Only shooting stars break the mold

[Interlude]

Go for the moon

Go for the moon

Go for the moon

Go for the moon

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars

[Verse 3]

Somebody once asked, “could I spare some change for gas?

I need to get myself away from this place"

I said, "Yep, what a concept

I could use a little fuel myself and we could all use a little change"

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go (Go!)

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Outro]

And all that glitters is gold

Only shooting stars break the mold

Step-by-step explanation:

Answer:

4,000%

Step-by-step explanation:

You can solve this problem by using a proportion.

So to start the proportion draw one line then put an equal sign and draw another line.

Then start filling out the proprtion. in proprtions  your is and of can make it easier to solve the problem

is $10,000_________= ______________

of 5%                                     100%    

First multiply $10,000 dollars by 100%, you get 200,000%

Then divide 200,000% by 5% and you get 4,000%

A company that makes hair care products had 6,000 people try a new shampoo of the 6.000
people, 12 had a mild allergic reaction. What percent of the people had a mild allergic reaction


Answers

Using the percentage concept, it is found that 0.2% of the people had a mild allergic reaction.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 12 out of 6000 people had a reaction, hence:

[tex]P = \frac{12}{6000} \times 100\% = 0.2\%[/tex]

0.2% of the people had a mild allergic reaction.

More can be learned about the percentage concept at https://brainly.com/question/10491646

What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?



Enter your answer, as a decimal, in the box.

Answers

Answer:

-3.75 and oof i got it wrong i put 3.75

Step-by-step explanation:

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