The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?

Answers

Answer 1

Answer:

[tex]P(x) = 3x - 10[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 5x[/tex]

[tex]C(x) = 10 + 2x[/tex]

Required

Determine [tex]P(x) = (R - C)(x)[/tex]

In functions;

[tex](f - g)(x) = f(x) - g(x)[/tex]

So, we have:

[tex]P(x) = (R - C)(x)[/tex]

[tex]P(x) = R(x) - C(x)[/tex]

Substitute values for R(x) and C(x)

[tex]P(x) = 5x - (10 + 2x)[/tex]

Open bracket

[tex]P(x) = 5x - 10 - 2x[/tex]

Collect Like Terms

[tex]P(x) = 5x - 2x- 10[/tex]

[tex]P(x) = 3x - 10[/tex]


Related Questions

A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns​ shown, making the​ one-day sale price of the ski set ​$323. Find the original selling price of the ski set.

Answers

Answer:
The original selling price is $520.632
Explanation:
Consider the initial selling price be $x
After marking down 10%,
Final Selling price = Selling price(1-10%)
Selling price = x – 10% of x = x – 0.1x = 0.9x
After marking 30%
Final Selling price = Selling price(1-10%)
Selling price = 0.9x – 0.3*0.9x = 0.9x – 0.27x = 0.63x
According to the question,
0.63x = 328

Therefore, the original selling price is $520.632

Answer:

The original selling price is $520.632

Explanation:

Consider the initial selling price be $x

After marking down 10%,

Final Selling price  = Selling price(1-10%)

Selling price = x – 10% of x = x – 0.1x = 0.9x

After marking 30%

Final Selling price  = Selling price(1-10%)

Selling price = 0.9x – 0.3*0.9x = 0.9x – 0.27x = 0.63x

According to the question,

0.63x = 328

Therefore, the original selling price is $520.632

Hope It helps!!❤

Help plsssssssss??????

Answers

Answer:

y= -1/3x-3

Step-by-step explanation:

The slope is -1/3 because the equation is rise/run. The rise is 1, and the run, or horizontal length, is 3. Because the line is slanting toward the left, the slope will be negative.

y=mx+b is the equation for a linear line.

y= -1/3x+b (substitute the slope in)

choose any point on the line, for example, (0,-3).

-3= -1/3(0)+b   (0 is the x, and -3 is the y)

b= -3

Your equation will be y= -1/3x-3

9514 1404 393

Answer:

  y = -1/4x -3

Step-by-step explanation:

The slope is found by counting grid squares between grid crossing points. The line crosses grid points at (0, -3) and again at (4, -4). That is, for 4 units to the right, it drops 1 unit, so the slope is ...

  m = rise/run = -1/4

The crossing at (0, -3) tells you the y-intercept is b = -3, so the slope-intercept equation is ...

  y = mx +b

  y = -1/4x -3

please help will make brain list “simplify each expression”

Answers

Answer:

[tex]x^{10}[/tex]

Step-by-step explanation:

[tex]\frac{x^{12} }{x^{2} }[/tex] = [tex]x^{12 - 2}[/tex]

12 - 2 = 10

So,

[tex]x^{10}[/tex] is the correct answer.

Hope this helps! ^^

Help me with this thing thanks anoarefi

Answers

Answer:

1. 8

2. 16

Step-by-step explanation:

8/4=2

64/4=16

Answer:

The answers are

1. x=8

2. x=16

Solve 3(−3−3x)+4=−5.

Answers

Answer:

49

Step-by-step explanation:

you need to multiply all them and get 49

Answer:

0

Step-by-step explanation:

3(-3-3x)+4=-5

3(-3-3x)=-9

-9-9x=-9

-9x=0

0/-9=0

please help me with this its timed first person to give me correct answer gets 25 points

Answers

Answer:

8. 14 for the third question.

9. 18 for the forth question.

Step-by-step explanation:

the third and forth orange equations.

a wish tank that is full of water has sprung a leak, 12% of the water is lost every hour. what % of water is left in the tank after 20 minutes

Answers

96% of the water is still in the tank after 20 minutes.
12% is lost every hour but 20 minutes is 1/3 of an hour so you multiply 12 by 1/3 and you get 4% and at the beginning the water tank is full at 100% so you subtract 100%-4%=96%.

Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.97 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?

Answers

Answer:

eish

Step-by-step explanation:

shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry

PLEASE HELP I HAVE LESS THAN 45 MINUTES! WILL GIVE BRAINLIEST!

Answers

Answer:

5

Step-by-step explanation:

Solve.
12.25 = 2.5 =
4.9
4.5
6.5
0.49

Answers

(If this is the correct symbol)
12.25 divided by 2.5= 4.9

Hope this helps

Have a great day/night

Is this congruent, or not congruent? And is it
SSS
SAS
SSA
AAS
ASA
HL

Answers

Answer:

Step-by-step explanation:

The two triangles are congruent. The diagonal is equal to itself in both triangles.

Triangle XYW = Triangle XYZ  by SSS

HELPPPPPPPP ☝️☝️☝️!!!!!!!

Answers

Answer:

10x=y

Step-by-step explanation:

Please send help ASAP.

Answers

Answer:

d. -4 <= x - 5

Step-by-step explanation:

I think youre asking about question 5.

First replace the x with the -2 in every problem.

Now solve:

a. 6 × -2 < 10

6 times -2 is -12, and -12 is less than -10, so that ones true and not the answer

b. -2 × -2 > -3

-2 times -2 is 4, and 4 is greater than -3, so that ones true and not the answer

c. -2/4 <= 0

-2 divided by 4 is -1/2, and -1/2 is less than 0. so that ones true and not the answer

So obviously the answers d, but we're gonna check anyway

d. -4 <= -2 - 5

-2 minus 5 is -7, and -7 is not less than -4, so its not true and the answer

Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded

Answers

did you get ittttt???

please help me out

Given g(x) = - 4x + 4, find g(3).
Answer:

Answers

Answer:

-8

Step-by-step explanation:

substitute x with 3

-4(3) + 4

simplify (multiply)

-12+4

simplify

-8

Answer:

g(3) =  -8

Step-by-step explanation:

g(3) = -4x + 4 Substitute 3 for X:

g(3) =  -4(3) + 4

-4 * 3 = -12

g(3) = -12+4

g(3) =  -8

2.Solve -75 = -25a.
A.
3
B.
-100
c.
-50

Answers

Answer:

A

Step-by-step explanation:

-75=-25a

Divide both sides by -3:

3=a

a=3

The answer is choice A

2 divided by 5/12= what

Answers

make it so 2 has the same denominator as 15/ 12 and if you do that it’s 24/12 which is equal to 2 and then you subtract 24/12-15/12 which equals 9/12

An object is accelerating at a constant rate from 8.0 m/s to 16.0 m/s in 10.0 seconds. How far in meters does the object travel in 10.0 seconds?

Answers

Step-by-step explanation:

Answer is 120 m

Extremely sorry for delay.

Here is explanation in given attachment

i will give brainlist to who ever gets it right

Answers

Answer:

2(j+2)

Step-by-step explanation:

Since 2 is the GCF, you should take out 2 to make the answer 2(j + 2).

Answer:

that will be 2(j+2) by taking hCf outside

plz mark as brainliest

Help me please. Id appreciate it greatly

Answers

Answer:

1.39

2.4/5

3. 4/5t+39

4. 4

5.4/3

6.4/3g+4

i hope i got this right.

Given that
5
x
:
9
=
8
:
3
Calculate the value of
x
.
THE CORRECT ANSWER WILL BE BRAINLIEST

Answers

Answer:

x=4.8

Step-by-step explanation:

5x:9 = 8:3

It can also be written as

5x/9 = 8/3

Cross multiply

5x*3 = 8*9

15x = 72

Divide both sides by 15

15x/15 = 72/15

x =4.8

98. Find the values of A and B which satisfy
the equations cos (2A + B) = 0.3 and
cos (2A - B) = 0.6 if 0° < 2A + B < 90° and
0° < 2A-B < 90°.​

Answers

Answer: answer is a

Step-by-step explanation:

HElp PLZ DUE RIGHT KNaw

Answers

Answer:

variables :)

Step-by-step explanation:

Answer:

[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]

Find the equation of the circler whose diameter has the end points A( 5,4) and B(7,4)​

Answers

Answer:

(x-a) whole square + (y-b) whole square =r square

you will get answer

Can anyone help me with these two problems.
I’ll mark you as a brainliest.

Answers

Answer:

0,7. 1,15. 2,23. 3,31. 4, 39. 5,47

Answer:

Step-by-step explanation:

Maria

y= 7, 15, 23, 31, 39, 45, 52,

Please help I will give brainly as long as you tell me how to do it
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

Answer:

The answer is Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

If 5-x=3 then what is 3x^2

Answers

Answer:-

• Given:-

5 - x = 3

Solution:-

➪ 5 - x - 3 = 0

➪ 5 - 3 - x = 0

➪ 2 - x = 0

➪ 2 = x

Hence, x = 2

Now,

3x²

➪ 3 × (2)²

➪ 3 × 4

12

Therefore, 3x² will be = 12.

I need help answer as soon as possible.

Answers

number 1 is 5.7 number 2 is 0.5 number 3 is 5.5 and number 4 is 4.5

8-(-4)=
What’s the answer?

Answers

i believe the answer is -4
8-(-4) = 12

it says i need 20 characters to submit ;-;

Can someone help me with this? I'm not good with functions. ​

Answers

Answer: The answer is option C

Step-by-step explanation:

Answer: it is C

Step-by-step explanation:

$16.94 divided by 5 which is how many pounds there is is 3.388 which rounds up to 3.39

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