1. The cost of having a carpet installed is $25.00 for the delivery plus $1.50 per square yard of carpet. Write a function that models the cost of having a carpet installed.

Answers

Answer 1

Answer:

C(x) = 25 + 1.5x

Step-by-step explanation:

A function is a mathematical equation that describes how two variables are related. To write a function that models the cost of having a carpet installed, we can use the information provided in the problem.

The cost of having a carpet installed is:

C(x) = 25 + 1.5x

Where C(x) represents the total cost of the carpet installation and x represents the number of square yards of carpet.

25 is a fixed cost for delivery , and $1.5 is cost per sq yard.

So, C(x) = 25 + 1.5x this function is representing the cost of having a carpet installed in x sq yard.


Related Questions

What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
y = -5x
y = 2x - 5
y = -5x + 2

Answers

Answer:

y= -5x+2 is the equation.

Answer:

y= -5x + 2

Step-by-step explanation:

y = mx + b(we will put the points of "x" and "y" into this formula)

2= -5 (0) +b( as "x" is "0" and is multiplied by "-5" it will become "0" giving us the value of "b")

2=b(finally we will substitute this answer in the formula we've written)

therefore the answer will be:

y= -5x + 2

Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishan was 3 times as old as Christopher

Answers

Answer:

Let Ishaan's age be x. Then, Christopher's age is x-20. These are their current ages.

14 years ago,

x-14 = 3(x-20-14) (we need to subtract 14 from both of their ages')

x - 14 = 3(x - 34)

x - 14 = 3x - 102

2x = 88

x = 44

Ishaan is 44 years old now.

Answer:

Christopher is 44 and ishaan is 24

Step-by-step explanation:

So im guessing this question is asking how old they are now

if christopher is 20 years older he will always be 20 years older

so we need to find how old he was 14 years ago

he was 1/3rd the age meaning that 20 is 2/3s so that means that ishaan was 10 years old

then add 14 years and he is 24

solve for x: 17/x+10 = 16/x
x=____​

Answers

Answer:

X = -1/10

Step-by-step explanation:

[tex] \frac{17}{x} - \frac{16}{x} = - 10 \\ \frac{1}{x} = - 10 \\ 1 = - 10x \\ x = \frac{1}{ - 10} [/tex]

Please help!!!

What is the missing value and why?

Answers

Answer:

11

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!

Answers

Answer:

a = 30

b = 15

c = 3

d = 30

e = 10

f = 20

Step-by-step explanation:

60 deg and a + 30 are alt int <S and congruent

a + 30 = 60

a = 30

a + 30 and a + 2b are corresponding angles and congruent

a + 2b = a + 30

2b = 30

b = 15

a + 2b and 5b - 5c are vertical angles and congruent

5b - 5c = a + 2b

5(15) - 5c = 30 + 2(15)

75 - 5c = 30 + 30

75 - 5c = 60

-5c = -15

c = 3

a + 2b and 10c + d are corresponding angles and congruent

10c + d = a + 2b

10(3) + d = 30 + 2(15)

d + 30 = 60

d = 30

5b - 5c and 2d + 6e are supplementary and add to 180

5b - 5c + 2d + 6e = 180

5(15) - 5(3) + 2(30) + 6e = 180

75 - 15 + 60 + 6e = 180

6e + 120 = 180

6e = 60

e = 10

2d + 6e and 4f + 4e are alt int angles and congruent.

4f + 4e = 2d + 6e

4f + 4(10) + 2(30) + 6(10)

4f + 40 = 60 + 60

4f + 40 = 120

4f = 80

f = 20

Do the points A(-2,1), B(-2,4), C(3, 4), D(3, 1) form a square?

Answers

Answer: i don't think they do

Step-by-step explanation: tell me if i wrong

No they form a rectangle because the sides are 3 and 5.
A squares has 4 equal sides. A rectangle has 2 opposite sides equal.

Please help I do not understand it,Cos A=

Answers

40/9 alalalalalalalalalalaallaallalalaalal
9/41 it’s adjacent over hypotenuse

help........................................................................

Answers

Step-by-step explanation:

what is Fahrenheit use celsius bruuuhhhh

Answer:

C. The temperature decreased by 6.75 degrees F

Step-by-step explanation:

please help me! where are the black dots located?!

Answers

the bottom square: -6,-5

the top square: -2,1

(-2,1) and (-6,-5) are where they’re located

How would you solve this question?

Answers

Answer:

K

Step-by-step explanation:

techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477

Find the slope of the line parallel to the line through the given points (4,-2),(-1,8)

Answers

slope = -10/5 = -2


Hope this helps!!

Answer:

-2

Step-by-step explanation:

Parallel lines have the same slope, so find the slope of this line

Use rise over run, (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)

(8 + 2) / (-1 - 4)

10 / -5

= -2

So, the slope of the line is -2

What is this number in standard form?
(5×100)+(6×1/10)+(7×1/100)

Enter your answer in the box. (1/10 and 1/100 are fractions)

Answers

Answer:

500.61

Step-by-step explanation:

5 multiplied by 100 = 500

1/10 = 0.1, So 6 multiplied by 0.1 = 0.6

1/100 = 0.01, So 1 multiplied by 1 = 0.01

500 + 0.6 + 0.01 = 500.61

[tex](5 \times 100) + (6 \times \frac{1}{10} ) + (7 \times \frac{1}{100} )[/tex]

[tex]5 \times 100 = 500[/tex]

[tex] \frac{6}{1} \times \frac{1}{10} = \frac{6}{10} = 0.60[/tex]

[tex] \frac{7}{1} \times \frac{1}{100} = \frac{7}{100} = 0.07[/tex]

[tex]500 + 0.60 + 0.07 = 500.67[/tex]

Which one is it???????

Answers

Answer:

up 6

mayby

.........

Answer:

Left 6 is the answer

Step-by-step explanation:

You must move it in the left to be able to solve it

There are 27 boys and 38 girls in the Bounders athletics club.
a. write the ratio of boys to girls in the form 1:n

Answers

Answer:

27:38 no more simplfying

Step-by-step explanation:

The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million​

Answers

Answer:

Answer:

Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x

Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)

Step-by-step explanation:

Question 1

Budget surplus in 2010 =

Budget surplus in 2011 =

Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010

Question 2

2011 yearly tax revenue, x = $450,000

Budget surplus in 2011 =

Budget surplus in 2011 ≅ $

Step-by-step explanation:

Identify any solutions to the system shown here.
2x + 3y 26
3x +2y 56

Answers

Answer:

Add more points  (0.5, 2), (-2,4)

Step-by-step explanation:

−14 − 8x = −2(−3x + 7)

Answers

Answer:

-8x=6x+14-14

-8x-6x=0

-14x=0

X=0/14

X=0

?????

Answer:

X= 0 or Zero

Step-by-step explanation:

Steps To solve this problem... (8 steps)

1) Rearrange terms:

−14 − 8x = −2(−3x + 7)

−8x − 14 = −2(−3x + 7)

2) Distribute:

−8x − 14 = −2−(3x + 7)

−8x − 14 = 6x - 14

3) Add  14 to both sides of the equation:

−8x − 14 = 6x - 14

−8x − 14 + 14 = 6x - 14 + 14

4) Simplify (Add the numbers):

-8x = 6x

5) Subtract  6x from both sides of the equation:

-8x = 6x

-8x - 6x = 6x - 6x

6) Simplify (Combine like terms):

-14x = 0

7) Divide both sides of the equation by the same term:

-14x = 0

-14x/-14 = 0/-14

8) Simplify  (Cancel terms that are in both the numerator and denominator):

X= 0/-14

Hope this Helped! :)

umm what is this?????​

Answers

Answer: The correct answer is 1/2 ÷ 1/11.

Step-by-step explanation:

Answer:

1/2 ÷ 1/11 :)

Step-by-step explanation:

11/2= 5.5 and so does 1/2 ÷ 1/11

None of the other answers equal to the same amount.

1/2 ÷ 3/14= 2.3

1/2 + 1/10= 5

8/11 + 1/2= 1.45

Hope this helps! <3

3.) 4(m + 5) + 42, (m = -2)​

Answers

The answer would be 54 since m=-2

Step one: 4(-2+5)+42
Step two: (-8+20)+42=54

Answer:

54

Step-by-step explanation:

The variable m equals -2, so what you would do is plug it into the equation.

4(-2+5)+42

Next you would distribute the 4 into -2 & 5.

(-8+20) + 42

Add what's in the parenthesis.

12 + 42

Once you add that you will be left with your answer which is 54.

Hope this helped!

show graph of f(-x+2)

Answers

this is the graph but it’s a bit cropped

I’m confused about this problem

Answers

Cosx=180/114

X= cos inverse 180/114

You know how to do cos inverse on the calculator??or should i tell you?

x= arctan (114/180)

=32.34744..

rounded to the nearest tenth =32.3

Step-by-step explanation:

what is this type of question called and how can i solve it?

Answers

Answer:

Total number of year pass [n] = 22 year (Approx)

Step-by-step explanation:

Given:

Beginning price of cottage [P] = $25,000

Price reduce every year [r] = 10% = 0.1

Final price [A] = $2,500

Find:

Total number of year pass [n]

Computation:

A = P[1-r]ⁿ

2,500 = 25,000[1-0.1]ⁿ

0.1 = [0.9]ⁿ

Total number of year pass [n] = 22 year (Approx)

Please Help!

Which Triangles are similar and why?

Answers

Both because they are all the same triangle

-(2g - 4)
I don’t what the answer is

Answers

Answer:

−2+4

Step-by-step explanation:

Answer:

-2g+4

Step-by-step explanation:

you have to distriute the negitive

-2g+4

so that is your answer

i hope this helps   :)

please help giving all my points

Answers

Answer:

Step-by-step explanation:

1. Subtraction

2.multiplication

Answer:

number 2. is Subtraction Property of equality and number 3 is multiplication property of equality.

Step-by-step explanation:

if the x variant of 24 was 8 how to I solve?

Answers

Answer:

you substitue 8 for x then you sovle it like a normal equations

Step-by-step explanation:

thanks for points :D

Answer:

8 times 3

Step-by-step explanation:

since 8 times 3 = 24

The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of

75 people to attend in order to reserve buses. If one-third of the 8th-grade class plus 17 parent

chaperones have signed up and this is enough to satisfy the requirement, how many students must

be in the 8th-grade class?




Pls answer with an equation

Answers

Answer:

There needs to be 174 Students in the 8th grade class.

Step-by-step explanation:

173(1/3) is 58

58+17=75

Jen rode her bike 15of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?

Answers

Answer:

2.4MPH

Step-by-step explanation:

Use the principle of rate x time:

(1/5)*5=1

1 mile per 25 minutes= 2.4 mph

MARK AS BRAINLIEST

What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?

Answers

Answer

y = 3/2x -8

Step-by-step explanation:

The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.

Each week, the price of oranges at the farmer's market increases by 20%. The price of oranges this week is 2.50 What was the price last week

Answers

The price last week was $2.08

Answer:4.50

Step-by-step explanation:

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