Olivia is making model cars to go on shelves in her room. The number of wheels she uses is a function of how many cars she makes: if she makes 1 car, she uses 4 wheels; if she makes 2 cars, she uses 8 wheels; if she makes 3 cars, she uses 12 wheels; and so on. She has exactly 28 wheels she can use to make cars. What is the domain and range for the function?

Answers

Answer 1

Answer:

Domain = 1 to 7

Range = 4 to 28

Step-by-step explanation:

Given that:

Number of wheels used is a function of number of cars manufactured.

Number of wheels present = 28

1 car uses 4 wheels

2 cars use 8 wheels.

3 car uses 12 wheels

and so on.

Let the function be of the form:

[tex]y =f(x)[/tex]

Domain of the function is the value of [tex]x[/tex] that can be given as valid input to the function.

Range of the function is the value of [tex]y[/tex] that can be output of the function.

Let [tex]x[/tex] be the number of cars manufactured.

Then value of [tex]y[/tex] is nothing but [tex]x[/tex] times 4.

[tex]y=4x[/tex]

We are given that maximum value of [tex]y[/tex] can be 28.

[tex]28 = 4x\\\Rightarrow x =7[/tex]

Therefore, maximum value of input can be 7.

Minimum number of wheels can be 4 to make a minimum of 1 car.

Therefore domain is 4 to 28 and range is 1 to 7.


Related Questions

1. A Baltimore passenger train traveled 80 miles in 1.5 hours. What was the average speed of the train? 50mph​

Answers

Answer:

53.33 miles per hour

please help me, this isn't a test or quiz I just need some help.

Answers

the right is answer is B) alternate exterior

Which choice is equivalent to the quotient shown here when x > 0?​

Answers

The answer should be D.
The square root of two.

The simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, operators, and functions that can be evaluated to produce a numerical value or another mathematical object such as a polynomial, equation, or inequality.

We can simplify the given expression by factoring out the greatest perfect square factor under each square root symbol. For the first term, √18x³, we can factor out √9x², which is 3x√2. For the second term, √9x, we can factor out √9, which is 3. Thus, we have:

√18x³ + √9x = √(9x²⋅2x) + √(9⋅x) = 3x√2 + 3√x

We can then factor out 3 from both terms:

√18x³ + √9x = 3(x√2 + √x)

Therefore, the simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.

To know more about an expression follow

https://brainly.com/question/29896771

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How many of the first million positive integers share no common factors greater than 1 with 2020

Answers

9514 1404 393

Answer:

  396,040

Step-by-step explanation:

Factors of 2020 are 2, 5, 101.

There are 1,000,000 / 1010 = 990 multiples of 2 and 5 and 101.

There are 1,000,000 / 505 -990 = 990 multiples of 5 and 101 only.

There are 1,000,000 / 202 -990 = 3,960 multiples of 2 and 101 only.

There are 1,000,000 / 10 - 990 = 99,010 multiples of 2 and 5 only.

There are 1,000,000 / 101 -990 -990 -3960 = 3,960 multiples of 101 only.

There are 1,000,000 / 5 -990 -990 -99,010 = 99,010 multiples of 5 only.

There are 1,000,000 / 2 -990 -3960 -99,010 = 396,040 multiples of 2 only.

So, the total number of multiples of any factor of 2020 is ...

  990 +990 +3960 +99,010 +3960 +99010 +396040 = 603960

Then the number of integers in the first million that do not share any common factors greater than 1 with 2020 is ...

  1,000,000 -603,960 = 396,040

i need help 10 points

Answers

Answer:

B

Step-by-step explanation:

x intercepts is (- 1/2,0)

y intercepts is (0,2)

Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!

Answers

Answer:

A or the first one

Step-by-step explanation:

Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly

what is the given amount converted to the given units 144 ft; inches​

Answers

Final Answer: [tex]1728[/tex] inches

Steps/Reasons/Explanation:

Question: What is the given amount converted to the given units 144 ft; inches?

Formula to convert feet to inches: Multiply the length value by 12.

Steps: Multiply 144 by 12

[tex]144[/tex] × [tex]12[/tex] = [tex]1728[/tex] inches

~I hope I helped you :)~

The answer is 1748 .....

torresn06 where are you i need your help....


567*875

Answers

Answer:

The answer is 496125.

Step-by-step explanation:

Simply multiply the two numbers together to get 567*875 = 496125.

Hope this helped!

Answer:496,125

Step-by-step explanation:

please help me answer this ASAP if u view it then u'll see the question properly
[tex] \frac{1 + \sqrt{3} }{ \sqrt{12} } [/tex]
i will give brainliest answer if it the correct answers ​

Answers

Answer:

1/6 sqrt(3) + 1/2

Step-by-step explanation:

(1 + sqrt(3))

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

sqrt(12)

Multiply the top and bottom by sqrt(12)

(1 + sqrt(3)) * sqrt(12)

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

sqrt(12)*sqrt(12)

sqrt(12) + sqrt(3) * sqrt(12)

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

12

Simplify

sqrt(4)sqrt(3) + 6

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

12

2 sqrt(3) +6

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

12

1/6 sqrt(3) + 1/2

What is the solution to this equation? 7x + 3 = 10x - 5.4 Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.​

Answers

Answer:

Step-by-step explanation:

7x + 3 = 10x - 5.4

Bringing like terms on one side

3 + 5.4 = 10x - 7x

8.4 = 3x

8.4/3 = x

2.8 = x

Will give the brainiest!!
The graph below shows a line segment XY:

HERE ARE THE MULTIPLE CHOICE ANSWERS: What is the slope of the line segment XY?

−2
− 1 over 2
1 over 2
2

Answers

-2. The slope of a function is measured by rise over run. The rise from one point to another is 2 but the run goes towards the left 1 meaning it is negative. 2/-1=-2

Please help me I have no idea what I am doing.

Answers

c

Step-by-step explanation:

c because if you times 8 into a that equals 10, b =6-3

Demons answer this for me.

Answers

Answer:

Step-by-step explanation:

if you have negative numbers of x (this means negative meters) then the equation transform them into negative yards.

then replace y by 40yd in the equation like

40 = 1.09x

x = 40/1.09 = 36.7 meters

so in a 40yd race, there are 36.7 meters.

Write an equation of the line that passes through the points (0, –5) and (4, 7).

Answers

y = 3 x - 5. it said my answer has to be at least 20 characters long soo.. .

Students in Mr. Lewis's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?

Answers

Answer:

Ramon will read 70 each night.

Step-by-step explanation:

25% of 280

REMEMBER: "Of" means to multiply

25% x 280

Convert the percent into a decimal

0.25 x 280 = 70

So Ramon will read 70 pages each night.

Hope this helps!!

What is the value of N in the expression below

Answers

Step-by-step explanation:

please mark me as brainliest thank you

please help!:)
simplify the complex fraction -9/10 1 3/5​

Answers

Answer:

It equals -1 11/25

Step-by-step explanation:

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

Answers

Answer:

Definition of Vertical Angles state that vertically opposite angles are equal; 1=2( vertically opposite angles are equal)

Thank you. Hop I was of help.

Can someone please help me
Which value is equivalent to the expression 3^(-3)? *
A.1/27
B.1/9
C.-9
D.-27

Answers

Answer:

A. 1/27

Step-by-step explanation:

A small submarine travels at a speed of 2.4 km per hour. How far will the submarine travel in 0.25 hours

Answers

Answer:

a

TRUST ME

Step-by-step explanation:

PLEASE MAKE ME BRANLIEST

Answer:

[tex]\boxed {\boxed {\sf A. \ 0.60 \ km}}[/tex]

Step-by-step explanation:

Distance (how far the submarine travelled) can be found by multiplying the speed by the time.

[tex]d=s*t[/tex]

The speed is 2.4 kilometers per hour.

The time is 0.25 hours.

[tex]s= 2.4 \ km/hr \\t= 0.25 \ hr[/tex]

Substitute the values into the formula.

[tex]d= 2.4 \ km/hr * 0.25 \ hr[/tex]

Multiply. Note that the hours (hr) will cancel each other out.

[tex]d= 0.6 \ km/hr *hr[/tex]

[tex]d= 0.6 \ km[/tex]

The submarine travelled 0.6 kilometers in 0.25 hours.

to convert the ratio of 3:5 to 5:6, which number should be added on both?​

Answers

The number that should be added on both is 7.

What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9​

Answers

Hope this might help u

Answer:

D) 0.9

Step-by-step explanation:

The common ratio of a sequence is the amount you multiply a term by to get the next one. To find this number divide the second term by the first term, so 36/40. This will give you 0.9, to check your answer take the first term and multiply it by the common ratio a few times; you should get the exact sequence listed in the question.

Find the missing side length. Round to the nearest TENTHS place if
necessary

Answers

Answer:

2 is your answer

Step-by-step explanation:

Juan hires an electrician.
Juan pays a one-time fee of $30.
Juan also pays $45 for each hour the electrician works.
Write a function that can be used to find the total charge, c, Juan will pay when the electrician works,h, works

Answers

Answer:

c = 45h + 30

Step-by-step explanation

Hi! You know that you are trying to find the value of c, so you are going to set that as what would be your y value.

Now you know that you have to pay $30 as a fee no matter what, so you need to make sure that there is $30 attached to the equation without it being multiplied by anything.

Next, you know that it is $45 per hour, so you are going to multiply 45*h, where h is the number of hours the electrician works.

Hope this helps!

3(x+1)-2x=-6
Slove this

Answers

Answer:

x = -9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(x + 1) - 2x = -6

Step 2: Solve for x

Distribute 3:                    3x + 3 - 2x = -6Combine like terms:       x + 3 = -6Isolate x:                          x = -9

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(-9 + 1) - 2(-9) = -6Add:                                     3(-8) - 2(-9) = -6Multiply:                               -24 + 18 = -6Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = -9 is the solution to the equation.

I need help it khan 4q+3+2q-1​

Answers

Answer: 6q +  2

Step-by-step explanation:

Simon leaves home at 10:30am. He has return home before 6:15pm. He has to travel to work, which takes 45 minutes; he is working a four hour shift. He wants to meet some friends after work. His journey to his friends is 10 minutes and his return journey home is 42 minutes. What is the maximum amount of time he can spend with his friends?

Answers

Answer:

2 hours and 18 minutes

Step-by-step explanation:

A truck driver is trying to decide between two jobs offers. Driving company A offers pay for $600 per week, plus $0.15 per mile driven. Driving company B offers $700 per week, plus $0.10 per mile driven. The truck diver wants to know how many miles would they need to drive in a week to be making the same amount between the 2 companies.

Answers

Answer:

$1,202

Step-by-step explanation:

There ya go

A patient requires a 30% decrease in the dosage of his meds. His current dose is 340 mg. What will his dosage be after the decrease?

Answers

Answer:

238 mg

Step-by-step explanation:

340 x 0.30 = 102

340 - 102 = 238

- x3 + 4x2 – 3x + 12 when x = -2​

Answers

Answer: 42

Explanation:

Image below

It would be 8 because

-(-2)*3+4*-2*2-3*(-2)+12=8

Hope this helps

If I’m wrong then I’m so sorry
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