The function y = 5.75 + 2.5(x - 2) can be used to determine cost in dollars to rent a house of x square feet. What is the rate of change of the cost in dollars with respect to the number of square feet?

Answers

Answer 1

The rate of change is given by the coefficient of x in the cost function. Hence, the rate of change of cost in the function is 2.5

Given the cost function :

y = 5.75 + 2.5(x - 2)

Expanding the function and expressing in slope intercept form:

y = 5.75 + 2.5x - 5

y = 2.5x + 2.75

Therefore, the slope of the function is 2.5 ; which ubsthe rate of change of the cost function.

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Related Questions

Which of the following is the correct expansion of (x + 3)(x + 4)?

Answers

Answer:

(x + 3)(x + 4)

x(x+4)+3(x+4)

[tex] {x}^{2} + 4x + 3x + 12[/tex]

[tex] {x}^{2} + 7x + 12[/tex]

Answer:

It's x2 + 7x + 12 by added the two X at the start then added 3 + 4 to get 7 then 3×4 to get 12

7. A fundraising group charges $0.25 per cookie and has a daily expense of $18. Which of the
following describes the steps that need to be taken, in order to calculate the daily profit,
when selling 49 cookies? Please just tell me how to answer it not the answer

Answers

Answer:

Look below

Step-by-step explanation:

To answer the question, you have to find out how much 49 sold cookies amounts to, so multiply 49 by however much it is per cookie.

Then, subtract the daily expense, $18, by the number you got from the total amount earned from the cookies sold, and that number would show the daily profit earned by selling 49 cookies.

Hope this helps :)

11. Find the slope of a line which passes through the points (3,4) and (8,-1).
a. -1
b. 1
c. ⅗
d. 5/3​

Answers

Answer:

A

Step-by-step explanation:

Slope = (change in y)/ (change in x)

          = (-1 - 4)/ (8 - 3)

          = -5/5

          = -1

Members of a softball team raised $1319.25 to go to a tournament. They rented a bus
for $776.50 and budgeted $41.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament. Giving 100 points please help

Answers

Answer:

13 players

Step-by-step explanation:

Money Raised=RentedBus+Meals

1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)

Subtract 776.50 from both sides:   542.75=41.75x

Divide both sides by 41.75:   13=x

Remember that x is for the number of players so there'll be 13 players going to the tournament.

Answer:

1319.25=776.50+41.75p

13 players

Step-by-step explanation:

Find the volume of the composite solid.

Answers

Answer:

volume

________

7 ft 8 ft 7.5 ft 7 ft

Calculator
What are the coordinates of the midpoint of CD where C(2,
6) and D(4, 10)?
O (3, 2)
0 (2, 3)
0 (3, – 8)
0 (-1, 2)
1
2
OCT
20
tv

Answers

Answer:

O (3, 2)

Step-by-step explanation:

use the vectors method

(2+4)/2. (-6+10)/2

(3, 2)

what is the value of p(x)=4x+15 ?

Answers

Answer:

The answer is 10x

Step-by-step explanation:

Please help me 4⅗ ÷ ⅕ =

Answers

Answer:

23

Step-by-step explanation:

just used a calculator

23

Let’s start by making the mixed number an improper fraction. To do this you multiply the whole number by the denominator and add the numerator.

4 x 5 + 3 = 23

No we have 23/5 divided by 1/5

We have common denominators but you don’t need them for multiplying and dividing fractions. To discuss fractions you just go across, but there’s a thing. You have to flip the second fraction then you can multiply instead of divide.

So

23/5 x 5/1

23 x 5 = 115

5 x 1 = 5

115/5

This can be simplified to 23 because 5 divided by 115 is 23.

Hope this helps

"The quotient of five less than a number and 6, is -4."

Answers

Answer:

The number is 20

Step-by-step explanation:

x represents the missing number

The equation would be:

[tex]\frac{x-5}{6} =-4[/tex]

Then isolate the variable and solve,

First multiply both sides by 6...

[tex]x-5=-25[/tex]

Add 5 to both sides.

x=20

The value of A is -6. The difference between A and C is 6. Type all possible values of C.

Answers

Answer:

-12, 0

Step-by-step explanation:

A= -6

If A-C = 6 then, A-6=C

-6-6 =C

C= -12

or C-A =6

C=A+6

C= -6+6

C=0

What’s the LCM of 9 and 6

Answers

Answer:18

Step-by-step explanation:

6 : 6,12,18

9: 9,18

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

LCM (9,6): 18

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Multiples of 6: }6,12,\textbf{18},24\\\\\text{Multiples of 9: } 9,\textbf{18}, 27, 36\\\\\\\text{Since 18 is the first common multiple that appears, it is the LCM.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

solve the inequality. graph your solution
6(y+1)>6

Answers

Step-by-step explanation:

[tex]6(y + 1) > 6 \\ 6y + 6 > 6 \\ 6y > 0 \\ y > 0[/tex]

A class of 40 students took a test 20 students had an average score of 65. the other students had an average score of 52. what is the average score of the whole class?

At a health club, 28% of the members are men, the rest are women. If the average man is 33 years old, and the average woman is 38 years old, what is the average age of all the members?​

Answers

Answer:

One: 58.5

Two 36.6

Step-by-step explanation:

One

20 students * 65 = 1300 This is the total score of all 20 students. They may not all get 65, but 1300 is what their average total is.

20 students * 52 = 1040

The total score of all 40 students was 1300 + 1040 = 2340

The average for the entire class was 2340 / 40 = 58.5

Two

This question is done almost the same way.

Supposes the total number of members is 100. That means that 28 of them are men

28 * 33 = 924     This is the total age for the men

100 - 28 = 72        Out of 100, 72 of the people there are women.

72 * 38 = 2736

The total number of years of all of the members is

924 + 2736 = 3660      

The average age of all members is 3660/100 = 36.6

Why did I pick 100 as the total membership? It is because a percentage is number out of 100. Am I allowed to invent things like that? Sure. I'm just using the definition of a percentage.

The average will make it come out the same.

Bobby is in an office manager at a weekly newspaper. He earns $22.50 per hour. How many hours per week does Bobby work if he earns $522 per week? Show Work please.

Answers

Divide total pay by hourly rate:

522 / 22.50 = 23.2 hours

Answer: 23.2 hours

Plz help me

Determine whether the following sets form subspaces of R^3:

(a) {(x1,x2,x3)^T |x1+x3=1}

(b) {(x1,x2,x3)^T |x1=x2=x3}

Answers

Answer:

a.

Step-by-step explanation:

hope it's helpful

brainliest me pls

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.​

Answers

Question:

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.

Solution:Let the age of Tiffany be x years.Then, the age of Emily = 4x years.After 10 years, the age of Tiffany will be (x+10) years.After 10 years, the age of Emily will be (4x+10) years.Therefore, by the problem

[tex]4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5[/tex]

So, Tiffany's present age = 5 years.Emily's present age = (4×5) years = 20 years.Answer:

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

What is the value of W?

Answers

951 4 1404 393

Answer:

  w = 17

Step-by-step explanation:

Altitude SU of isosceles triangle RST bisects base RT. This means ...

  UR = UT

  5w = w+68

  4w = 68 . . . . . subtract w

  w = 17 . . . . . . divide by 4


Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 30 mph faster than the other. In 2.5 hours, the trains are 205 miles apart. Find the speed of each train


Answers

9514 1404 393

Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

  2s = 52 . . . . . . . . . . subtract 30

  s = 26 . . . . . . . . . divide by 2

  s +30 = 56 . . . the speed of the other train

The speeds of the two trains are 56 mph and 26 mph.

solve pls brainliest

Answers

Answer:

7.5 < 7.5061 < 7.56 < 9.213

Step-by-step explanation:

A survey was given to 321 people asking whether people like dogs and/or cats.
136 said they like dogs
187 said they like cats
41 said they don't like cats or dogs.
How many said they liked both cats and dogs?
232
people liked both cats and dogs.
Submit Question

Answers

Answer:

o lawd somebody get Steve Harvey

Step-by-step explanation:

A company makes pens. They sell each pen for $9. Their revenue is represented by R = 9 x. The cost to make the pens is $3 each with a one time start up cost of $6500. Their cost is represented by C = 3 x + 6500. a) Find the profit, P, (P = R - C) when the company sells 1000 pens. 15500 0-500 O 9000 0-3500 0-9000​

Answers

Answer:

-$500

Step-by-step explanation:

C = 3(1000) + 6500

C = 3000 + 6500

C = 9500

R = 9(1000)

R = 9000

P = 9000 - 9500

P = -500

(02.05 MC)
Graph g(x), where f(x) = 4x - 2 and g(x) = f(x + 1).

Answers

[tex]\\ \sf\longmapsto f(x+1)[/tex]

[tex]\\ \sf\longmapsto 4(x+1)-2[/tex]

[tex]\\ \sf\longmapsto 4x+4-2[/tex]

[tex]\\ \sf\longmapsto 4x+2[/tex]

g(x)=4x+2

Solve for x.



5x−2(x+1)=1/4 ​



Enter your answer as a fraction in simplest form in the box.

x =

Answers

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

How do I write a percent as a fraction in simplest form? Please explain step by step to get marked

Answers

Step-by-step explanation:

Divide the percentage by 100. E.g 74%=64/100

Then simplify the newly made fraction,

Find the common factors,

E.g 64/100

Both can be divided by 2

32\50

Repeat simplifying step...

16\25

Till there are no more common factors

and that's the final answer...

Hope you understand, if not leave a comment and I'm ready to help, please mark BRAINLIEST.

Please help guys this is hard for my 3rd grader Brain

Answers

Answer:

Add/multiply the exponents first.

Step-by-step explanation:

Given matrices A and B shown below, find (−4)A+(−9)B.

Answers

see the answer in the attached picture.

Are constants like terms

Answers

Step-by-step explanation:

yes , all constant are like terms.

HELP ME SOLVE THIS PLSS

Answers

no solution,

48x+43=47x+43

     -43         -43

48x=47x

if x= 1

48 is not equal to 1

B

Answer:

B

Step-by-step explanation:

It's impossible to let these 2 equation have same answer!

please help !!! thank you :)

Answers

Answer:

12

Step-by-step explanation:

2 ( - 2x + 6 )

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

= - 4x + 12

ASAP Lots of points!! 100 points!! Which expression is equivalent to 2^4 ⋅ 2^−7?
(Remember 2 to the power of 4 x 2 to the power of -7 = 0.125)
1 over 2 to the power 11
1 over 2 to the power 3
2 to the power of 3
2 to the power of 11
you can cancel out 2^11 and 2^3

Answers

Answer:

the answer for this is:

subtract 7 from 4 to get -3

you then have 2^-3

remove the negative exponent by rewriting as 1/(2^3)

Step-by-step explanation:

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