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

Solve the following system.
5x - 5y + 8z = 6
x + 2y + z = 12
3y - z = 10

Answers

The answer is (2,4,2)

Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Yeah my math class is coocoo, and im stuck on this. Im slow. Help me :(

Answers

Answer:

y=4x+4

Step-by-step explanation:

i was learning this not too long ago so i hope this helps y=mx+b     aka slope is 4 and then for b you put the y intercept aka 4  and then the x and y factors you csn leave blank cause you dont have them

An equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.

The coordinates from the line on the graph is (-3, 4) and (3, 2).

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Now, slope =(2-4)/(3+3)

= -2/6

= -1/3

Substitute m=-1/3 and (x, y)=(-3, 4) in y=mx+c, we get

4=-1/3 (-3)+c

⇒ c=3

The slope of a line perpendicular to given line is m1=-1/m2

So, slope =3

An equation of the line that passes through (-1,4)

Now, 4=3(-1)+c

c=7

Put m=3 and c=7 in y=mx+c, we get

y=3x+7

Therefore, an equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Question Three
What is the value of in the figure?
61
4 Ft
(5x)
(10x - 10)
6 ft
A
2
B
6.4
С
8
D 9.5

Answers

I believe the answer is A

Pleaseeee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

KL = 50

Step-by-step explanation:

∆JML is similar to ∆JNL. it follows that:

[tex] \frac{JM}{JN} = \frac{JL}{JK} [\tex]

JM = 4 + 20 = 24

JN = 4

JL = 10 + KL

JK = 10

Plug in the values

[tex] \frac{24}{4} = \frac{10 + KL}{10} [\tex]

[tex] 6 = \frac{10 + KL}{10} [\tex]

Multiply both sides by 10

[tex] 6*10 = \frac{10 + KL}{10}*10 [\tex]

[tex] 60 = 10 + KL [\tex]

Subtract 10 from each side

[tex] 60 - 10 = KL [\tex]

[tex] 50 = KL [\tex]

KL = 50

4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%

Answers

Answer:

what are you asking though

this is so confusing ngl​

Answers

Answer:

The ornament is 1, the light is 4, the grinch is 12, the hat is 16, and the dog reindeer thing is 48

Rose, I am very sorry 4 not replying to all ur text. im sorry for wat happen to ur mom.

Answers

Answer:

I feel so bad, would you mind telling me what happened to her mother..?

      ~isimpfortnpu

I am so sorry to and I don’t even know u rose :(

Patricia bought three dresses that each cost the same amount and a pair of jeans that cost $45 the items she brought cost a total of $150 before tax was added

Answers

Answer:$35 for each dress

Step-by-step explanation:

150-45=105

105/3=35

$35 each dress

Please help me :(
Describe how to create an equivalent equation from an equation that has fractions or decimals. Explain how to decide what numbers to use to multiply. Also, explain any other important things to remember when using this process.

Answers

Answer:

i hope this helps :)

Step-by-step explanation:

So, with an equation with decimals, we can use the same method we used to clear fractions—multiply both sides of the equation by the least common denominator. Look at the decimals and think of the equivalent fractions. Notice, the LCD is 100. By multiplying by the LCD, we will clear the decimals from the equation.

Answer: If the equation have fractions in it, then find the LCM of all the denominators.Then multiply both side of the equation by that LCM.

If the equation has decimal, then count the maximum number of places after decimal. Then multiply by "1 and then that many zeros".

Steps: If the equation have fractions in it, then find the LCM of all the denominators.Then multiply both side of the equation by that LCM.

For example:

[tex]\frac{2}{3}x-\frac{5}{4}=\frac{1}{2}[/tex]

Here denominators are 3,4 and 2. So the LCM of them is = 12

Multiply both sides by 12.

[tex]12(\frac{2}{3}x-\frac{5}{4})=12(\frac{1}{2})\\8x-15=6[/tex]

If the equation has decimal, then count the maximum number of places after decimal. Then multiply by "1 and then that many zeros".

For example:  0.324x - 0.92 = 0.526

Here maximum number of places after decimal is = 3.

So we will multiply both sides by 1000.

1000(0.324x - 0.92) = 1000(0.526)

324x - 920 = 526

Learn more: https://brainly.com/question/9492789


Which of the following expressions results in a positive number?
5. ( - 1)
-30(-8)
-6 (2)
Sect one:

Answers

Answer:

-30(-8)

Step-by-step explanation:

A negative times a negative always equals a positive.

-30(-8)
This give you an answer of 240

Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.

Answers

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

i can't do this, can someone explain​

Answers

Answer:

i think its m=4 too

Step-by-step explanation:

mhhhh

PLEASE HELP!!!
In order to get a good workout on your treadmill, you figure you have to run 528 feet in one minute. What are the possible numbers of miles you have to run in 20 minutes to exceed this rate? (Hint: 1 mile = 5280 feet)
________________________________________
PLEASE PROVIDE AN EXPLANATION, thank you!
Also, the math should include an inequality. Please show how the answer was gotten with an INEQUALITY. It will help, thank you!

Answers

chbgbunbvhthdvybv h h h hdbybc. hubcap n

George invested $3,600 in an account for 3 years. After 3 years he had earned $540 in interest. What is the simple interest rate on his account?

Answers

Step-by-step explanation:

here's the answers...........

H
SSS
SAS
ASA
AAS
HL
cannot determine

Answers

Answer:

last answer

Step-by-step explanation:

I"LL GIVE BRAINIEST !!!!

Sam is going to participate in a fundraiser for the soccer team. They will sell hot dogs at $2 each. Initially it costs $26 to buy the hot dogs and buns.

1. What equation represents, y, the total amount of money they will make if they sell x hot dogs?

2. If the soccer team wants to make at least $100, how many hot dogs will they have to sell?

Answers

Answer:

1-  y= x × 50, $100= $2 × 50

2- The team will need to sell about 50 hot dogs because one is $2 and 2 multiplied by 50 is 100.

Step-by-step explanation:

hope this helps good luck

please help me with this please

Answers

Answer:

the answer is 14 so I need jdjdjrjrjrekeiwodbf jcjcix

Answer:

the answer would be 14

Step-by-step explanation:

The table is going by 4's

Solve the equation sin^2x=3Cos^2X.

I would love to graduate...so thanks in advance!

Answers

Answer:

240°

Step-by-step explanation:

[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]

Solve for x
(X+1)(x+5)=(x+3)(x-1)

Answers

Answer:

x = -2

Step-by-step explanation:

x^2 + 6x + 5 = x^2 + 2x - 3

x^2 + 6x = x^2 + 2x - 8

4x = -8

x = -2

Create an expression that would represent the area of a triangle.

Answers

Answer:

a = 1/2 (15 *5)

Step-by-step explanation:

a = 1/2 (b * h)

     1/2 (15 *5)

Answer:

1/2 (15x5)

Step-by-step explanation:

Area = 1/2bh

PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?

A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1

Answers

Answer:

its A) f(x)= 2[tex]x^{2}[/tex]+x-1

Step-by-step explanation:

Answer: A sounds correct

Step-by-step explanation:

What the answer is for this question

Answers

Answer:

im pretty sure its 24

Step-by-step explanation:

because 12+12=24

plz i have 24 hrs to answer this... Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X? 1,200 - 15x > 25x

1,200 + 15x > 1,200 + 25x

1,200 - 15x < 25x

1,200 + 15x < 25x

Answers

Answer: Choice C.    1200 - 15x < 25x

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

Explanation:

Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.

Consider after 1 minute we have x = 1, so,

1200-15x = 1200-15*1 = 1200-15 = 11185

Then after 2 minutes we have x = 2, which means,

1200-15x = 1200-15*2 = 1200-30 = 11170

is the amount left over in gallons.

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

In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y

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

So we found these two expressions

1200-15x25x

to represent the amount of water (in gallons) for Pool X and Pool Y respectively.

We want to know when Pool Y will have more water. So we get to this final answer

1200 - 15x < 25x

It is in the form A < B, where A  is the amount of water in Pool X and B is the amount of water in Pool Y.

Answer:

C

Step-by-step explanation:

cause i got it right

Divide 350rs in 3:4 ratio


plzzz fast​

Answers

Answer:
150 : 200

Explanation:
3 + 4 = 7
350 / 7 = 50
50 x 3 = 150
50 x 4 = 200

PLEASE HELPP AND SHOW WORK​

Answers

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}[/tex]

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}[/tex]

And AB = AD + DB

             = 2(AD) [Since, AD = DB]

By substituting these values,

[tex]\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}[/tex]

2 = [tex]\frac{34}{x-8}[/tex]

x - 8 = [tex]\frac{34}{2}[/tex]

x - 8 = 17

x = 17 + 8

x = 25

Lucius and Angelina's teacher gave them a system of linear equations to solve. They each took a few steps that led to the systems shown in the table below.

Answers

Answer:

both

Step-by-step explanation:

Luc and Ang both just didn't simply one of there equations, otherwise it is equal

PLEASE HELP ME THIS IS DUE TODAYYY

Answers

Answer:

Check the answers in the tables below

Step-by-step explanation:

First I will explain the steps done in each column

Column 1: Multiply 2 numbers

Column 2: Split the terms inside the bracket in such a way that adding or subtracting those numbers we get the same number.

Column 3: Using distributive property a(b+c) = (ab)+(ac)

Column 4: Solving the expression by adding or subtracting  the terms

1)

Given: Data in Column 2 100(0.04+0.06)

Column 1     Column 2               Column 3                  Column 4         Value

100(0.1)       100(0.04+0.06)     100.0.04+100.0.06          4+6                   10

2)

Given: Data in column 3 [tex]8.\frac{1}{2}+ 8.\frac{1}{4}[/tex]

Column 1     Column 2               Column 3             Column 4         Value

[tex]8(\frac{3}{4})[/tex]                 [tex]8(\frac{1}{2}+\frac{1}{4})[/tex]                   [tex]8.\frac{1}{2}+ 8.\frac{1}{4}[/tex]                    4+2               8                    

3)

Given: Data in Column 4 9+12

Column 1     Column 2               Column 3                  Column 4         Value

3(7)                    3(3+4)                    3(3)+3(4)                   9+12                  21

4)

Given: Data in Column 4 24-16

Column 1     Column 2               Column 3                  Column 4         Value

4(2)                  4(6-4)                      4.6-4.4                      24-16                8

Find the percent of increase from 15 lbs. to 31 lbs. Round to the nearest tenth if necessary.

Answers

It is a 101.67 percent increase hope this helps

I WILL GIVE BRAINLY

Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)


PLSSSSS SHOW YOUR WORK PLSSS

Answers

Answer:

D

Step-by-step explanation:

We will let d represent the amount of dimes Angela has.

Angel has 5 fewer quarters than twice the number of dimes.

Twice the number of dimes will be 2d.

Then, 5 fewer will yield 2d-5.

Therefore, the amount of quarters Angela has is 2d-5.

Then, the total amount of coins (dimes and quarters) together, will be:

[tex]d+(2d-5)[/tex]

The first part is the amount of dimes.

And the second part is, as we determined, the amount of quarters.

Therefore, our answer is D.

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

Answers

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation:

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