Pete’s Painting Company will charge a one-time fee of $60 for labor and $20 for each room painted. Carla’s Creative Colors will charge $40 a room but only $20 to hire workers. Write a function rule for Pete’s Painting Company in function notation. Write a function rule for Carla’s Creative Colors in function notation.

Answers

Answer 1

Answer:

Pete's: [tex]f(x) = 20x + 60[/tex]

Carla's: [tex]f(x) = 40x + 20[/tex]

Step-by-step explanation:

Let's assume that [tex]x[/tex] is the amount of rooms painted, and [tex]f(x)[/tex]

For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.

They also charge 20$ per room, meaning that we will multiply 20 by [tex]x[/tex], the amount of rooms painted.

This gets us the function [tex]f(x) = 20x + 60[/tex]

For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.

They also charge $40 a room, meaning we will multiply 40 by [tex]x[/tex], the amount of rooms painted.

So the function is  [tex]f(x) = 40x + 20[/tex].

Hope this helped!


Related Questions

3. Factor x2 + 5x + 6.

Answers

Answer:

( x+3) (x+2)

Step-by-step explanation:

x^2 + 5x + 6.

What two numbers multiply to 6 and add to 5

(3*2) = 6

3+2 = 5

( x+3) (x+2)

Answer:

[tex]\left(x+2\right)\left(x+3\right)[/tex]

Step-by-step explanation:

[tex]x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)[/tex]

. A basketball coach is interested in measuring a player’s vertical jumping ability. While standing
and reaching up, the player’s hand reaches the 4-in. mark on the scale. When jumping, the player
can reach the 19-in. mark. What is the player’s vertical jumping ability?

Answers

Answer:

The player's vertical jump ability is 15 inches

Step-by-step explanation:

The mark on the scale which the player's hand can reach while standing = 4-in which is the standing reach

The mark on the scale the player's hand can reach when jumping = 19-in

Therefore, the player's vertical jumping ability is given as the difference between the height the players hand can reach when jumping and the height which the player's hand can when standing,

Which gives;

The player's vertical jump ability = 19 inches - 4 inches = 15 inches

The player's vertical jump ability = 15 inches.

Find the proportion of the missing number 7/a = 2/4

Answers

Answer:

Step-by-step explanation:

7/a = 2/4

2a = 28

a = 14

The label on Emma's muffin said that one serving provided 6 grams of fat, which is 10% of the recommended daily amount. What is the total recommended daily amount of fat?

Answers

0.6 because 6 divided by 10% is 0.6

A bicyclist travels at a constant speed of 18 miles per hour for a total of 27minutes. Choose the function, the domain and the range according to the situation.

Answers

Answer:

domain is (xo ≤ x ≤ 0.45 )

range is  (xo ≤ y ≤ 8.1 )

Step-by-step explanation:

given data

constant speed = 18 miles per hour

total time = 27 minutes = 0.45 hour

solution

we consider here  Domain number of hours   = x and Range distance traveled  = y

we apply here distanace formula that is

Distance = speed × time    .........................1

put here value

Distance = 18 × 0.45 = 8.1 miles

and no of hours x = 0 to 0.45 hours

so here

So domain is (xo ≤ x ≤ 0.45 )

and

Distance is 0 to 8.1 miles

So range is  (xo ≤ y ≤ 8.1 )

A basketball concession stand sells soda for $1.50, a bag of popcorn for $.50, and a candy bar for $1.25. At one game, 17 fewer candy bars were sold than bags of popcorn. That same night, the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altogether. If the concession stand made $130 that night, how many of each item were sold?

Answers

Answer:

87 I am getting points yayyyy

How to solve
- 2b
-- 5(b-6)

Answers

(b + 2) • (b - 1) • (b - 3)

Answer:

-2b

-5b+30

Step-by-step explanation:

-2b

-5×b= -5b

-5×-6= (+)30

cancels out the negative because a negative times a negative is a positive

Middle schoolers help!!!!!!!Witch expresion has the same value has the model bellow!

Answers

Answer:

Its the second one 4-(-8)

Solve for the roots in simplest
form using the quadratic formula:
4x2 + 5 = 12x

Answers

X=13/12

1. Calculate

2.Swap the sides

3. Divide both sides

Write an equation to describe the relationship between x and y.

Answers

Answer:

y = 4.5x

Step-by-step explanation:

Given:

x= 2 ⇒ y=9x=5 ⇒ y=22.5x=8 ⇒ y=36

We can see that:

9/2 = 22.5/5 = 36/8 = 4.5

Therefore the relationship between x and y is:

y = 4.5x

Answer:

y=4.5x

Step-by-step explanation:

I luv ur profile picture! (:

Answer two questions about Equations A and B:
A. 5x=20
B. X=4
1) How can we get Equation B from Equation A?
Choose 1 answer:
Multiply/divide both sides by the same non-zero constant
Multiply/divide both sides by the same variable expression
Add/subtract the same quantity to/from both sides
Add/subtract a quantity to/from only one side

Answers

You would divide both sides by the same non-zero constant

Multiply/divide both sides by the same non-zero constant. Therefore, option A is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, A) 5x=20 and B) x=4.

Here, 5x=20

Divide both sides by the same non-zero constant 5, we get

5x/5 =20/5

x=4

Therefore, option A is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

How could you add -13 + 10?

Answers

Same signs add different signs subtract the bigger # you’ll use its sign hope it helped

I need Help plz...!!!!

Answers

Answer:

B.21.3 is the correct answer

Step-by-step explanation:

1/2*x+1/4*x=16

x/2+x/4=16

2x+x/4=16

3x/4=16

3x=16*4

3x=64

x=21.3

Hope it is helpful for you

if it is follow me and

mark me as a brainest

Answer:

Answer: Option B.

Step-by-step explanation:

Hey there!!

Let's simply solve it.

Given,

[tex] \frac{1}{2} x + \frac{1}{4} x = 16[/tex]

Now, take LCM.

[tex] \frac{2x + x}{4} = 16[/tex]

Multiply 16 by 4.

[tex]3x = 16 \times 4[/tex]

or, 3x = 64.

Divide 64 by 3.

[tex]x = \frac{64}{3} [/tex]

x= 21.33

Therefore, your answer is option B.

Hope it helps...

please answer B and C i will mark u brainiest

Answers

Answer:

B: the translation can be represented as (x,y) (x-2,y-2)

C: figure c was translated from quad 2 to quad 4

hope that helps.

Match up each scenario with the equation that models the word problem.
Jeff is 3 years less than Tony's age.
y = x-3
Skate rental charges an additional $3.
y = 3x
Marie buys balloons for a party that
are $3.00 each
y = x + 3
Please helpp

Answers

Answer:

Marie is y=3x

Jeff is y=x-3

Skate is y=x+3

Step-by-step explanation:

Answer: y=37

Step-by-step explanation:

3072.9

If f (x) = -2x-3 and g (x) =x^2+5x find g (2) -f(3)

Answers

g(2)=2^2 +5(2)=14
f(3)=-2(3)-3=-9

g(2)-f(3)=14-(-9)=14+9=23

What is 2x+x+7x+4y-2y

Answers

10x+2y, this is the simplified version

Answer:

2x +x +7x +4y -2y= 3x +7x +2y=10x +2y= 2×(5x +y)

En el Número 258.324, el 25 son de miles. ¿Es Verdadero o Falso?¿Por que?

Answers

Answer:

Ok amigo, entonces es falso porque los miles son 5 ahora, la parte 25 está en la marca de diez mil más inteligente, por favorStep-by-step explanation:

Find the width and height of a newer 65" television screen with an aspect
ratio of 16:9.

Answers

Answer:

see below

Step-by-step explanation:

65 inches is the diameter  of the screen

We have a right triangle for a tv with the side length of 16x and 9x

Using the Pythagorean theorem

a^2 +b^2 = c^2

(16x)^2 + (9x)^2 = 65^2

256x^2+ 81x^2 = 4225

Combine like terms

337x^2 = 4225

Divide each side by 337

x^2 =4225/37

Take the square root of each side

x =65sqrt(337)/337

x =3.54077562

The width is 16 times this

width =56.65240991

height is 9 times this

height = 31.86698058

help w this / asap! ​

Answers

Answer:

The answer should be p >= 7

PLEASE HELP I HAVE 30 POINTS Part A: If (6^2)^x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Answer:

Part A: 0

Part B: All real numbers

Step-by-step explanation:

Part A:

We have:

[tex](6^2)^x=1[/tex]

First, let's evaluate the square:

[tex]36^x=1[/tex]

Now, what to the xth power will equal 1?

Remember the fact that anything (except for 0) to the zeroth power is 1.

Therefore, our x is 0:

[tex]36^0=1[/tex]

Part B:

We have:

[tex](6^0)^x=1[/tex]

Like mentioned previously, anything to the zeroth power is 1. Thus:

[tex]1^x=1[/tex]

Now, 1 is a special base because 1 to any (real) power is still going to be 1. For example:

[tex]1^0=1,1^1=1,1^{999},\text{ and } 1^{\pi}=1[/tex]

Therefore, our values of x is all real numbers.

And we're done!

Is 4.85912 rational number

Answers

Yes, it is a rational number. It is a rational number because you can write it as a fraction.

an adult panda will eat at least 20 pounds of bamboo every day. What an inequality that expresses this situation. ​

Answers

Answer:

is greater than or equal to 20

NEED HELP ASAP PLEASE ON ALL OF THEM !!!!

Answers

SNKRS watch Poseidon last by laughably Lance

Write an algebraic expression for each word phrase.

6 less than the quotient when x is divided by 4

twice the quantity y plus 8

the product of 12 and m increased by 7



Answers

Answer:

6> X · X ÷ 4²·y+8 - 12m+7

Step-by-step explanation:

a plane intersects a sphere 5cm away from the center of the sphere. the cross section is a circle whose diameter is 12 cm. determine the radius of the sphere PLEASE ANSWER

Answers

26cm i hope that’s correct

What is equivalent to -36 -8

Answers

Answer:

B

Step-by-step explanation:

It's not A because the 8 is positive.

It's not C because the 36 is positive.

And it's not D because both numbers are positive.

Is 7.87400787401 a rational or irrational number?

Answers

It’s an Irrational number

terry earn $35.75 for working for 5 hours. how much did terry earn per hour

Answers

Answer:

Step-by-step explanation

Divide 35.75 and 5 and you get 7.15 an hour .

Plz help! Ive been stuck on this for hours!!!!

Answers

Answer:

h[tex]\geq[/tex]8

Step-by-step explanation:

h-(-2)[tex]\geq[/tex]10=h+2[tex]\geq[/tex]10

subtract 2 on both sides to get h[tex]\geq[/tex]8

h must be greater than ir equal to 8
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