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

Use the distributive property to rewrite each expression. -5(3-h)

Answers

Answer:

−15+5h

Step-by-step explanation:

Answer:

-15 + 5h

Step-by-step explanation:

-5( 3 - h)

(-5*3) (-5*-h)

-15 + 5h

Hope this helps!

If the sin 60 degrees is 3/2, then the cos ______ degrees = ______.

Answers

Answer: If the sin 60 degrees is 3/2, then the cost is 22 degrees and equals a bunch of like 88 degrees

Step-by-step explanation:

what is 2/3 ÷ 3/4 I really need help​

Answers

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

what is the rate of change ?
y=-5x-3​

Answers

Answer:

the rate of change is -5.

Step-by-step explanation:

y = -5x - 3

-5 = rate of change

-3 = x intercept

Answer

The rate of change is -5

Step by step explanation

Y=5x-3

-5=rate of change

-3=x intercept

Help pls it math !!!!

Answers

Answer:

C. CD and DH

D. EH and GH

F. AD and DH

H. AB and BC

K. FG and EF

Step-by-step explanation:

hope this helps

what is the third side ? due in 2 days

Answers

Answer:

the third side could be 8 or 2

Step-by-step explanation:

Answer:

6 < x < 14;   answer = 8

Step-by-step explanation:

triangle inequality theorem: sum of any two sides must be greater than the third side

4 + 10 > x         x < 14

10 + x > 4         x > 6

A value is decrease by 92% for a new value of 13.12 find the original value

Answers

Step-by-step explanation:

Decreased by 92% = 8% of original

8% of original value = New value = 13.12

100% of original value = 13.12 * (100/8) = 164.

The original value is 164.

Emma needs 2 pounds of ground meat to make a meatloaf. She goes to Brodies and finds one package of meatloaf with 2.56 pounds and another package with 2.09 pounds. She uses rounding to the nearest whole. Which package should she choose to get closer to 2 pounds? Explain.

Answers

Answer:

package with 2.09 pounds

Step-by-step explanation:

When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.

to round 2.56 to the nearest whole number equals 3.

While to round 2.09 to the nearest whole number equals 2.

Because Emma needs 2 pounds, she would go with 2.09 pounds

This question hard solve fast lots of points

Answers

Answer:

2<a<5

Step-by-step explanation:

Before leaving for his book club meeting, Larry reads the last chapter in his book. The chapter is 15 pages long and contains 1,500 words. He reads the 15 pages in 10 minutes. How many words per minute does he read?

Answers

Answer: 150 wpm

Step-by-step explanation:

if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.

1500/10 = 150

Pls help and SHOW WORKINGS....due ASAP

Answers

Answer:

(B). 50°

Step-by-step explanation:

(5x + 55)° = (2x + 100)°

5x + 55 = 2x + 100

5x - 2x = 100 - 55

3x = 45

x = 15

5(15) + 55 = 130°

m∠2 = 180° - 130° = 50°

X= 15 because it just does

Write the equation of a line parallel to the line y = 2x that passes through 0,4

Answers

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

A rope was tied up so that it was only 7 inches long. When the rope is untied, it is 4 times as long. How many inches long is the rope when it is untied?

Answers

Answer:

28 inches long

Step-by-step explanation:

just multiply 7 and 4

If the rope is 6 inches long when tied than you would do 7 times 4 and get 28 inches or 2 ft and 4 inches

10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit

Answers

Your answer is y = 1/2x + 5

Find x and y so the quadrilateral is a parallelogram.

Answers

Answer:

Summary:

The value of x = 7 The value of y = 4

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other.

As

The parallelogram PQRS is given, so

RT = TP

Given

RT = xTP = 5x-28

plug in RT = x and TP = 5x-28 in the equation RT = TP

RT = TP

x = 5x-28

switch the sides

5x-28 = x

adding 28 in both sides

5x-28+28 = x+28

simplify

5x = x+28

subtract x from both sides

5x-x = x+28-x

4x = 28

divide boh sides by 4

4x ÷ 4 = 28  ÷ 4

simplify

x = 7

Therefore, we conclude that the value of x is: x = 7

Similarly,  

QT = TS

Given

QT = 5yTS = 2y+12

plug in QT = 5y and TS = 2y+12 in the equation QT = TS

QT = TS  

5y = 2y+12

subtract 2y from both sides

5y - 2y = 2y+12-2y

simplify

3y = 12

divide both sides by 3

3y ÷ 3 = 12 ÷ 3

simplify

y = 4

Therefore, we conclude that the value of y is: y = 7

Summary:

The value of x = 7 The value of y = 4

Do this for a lot of points and brainly!!! Asap

Answers

Answer:

(-4,1)

Step-by-step explanation:

you can choose any point on the line

What is One-third of Four-fifths?

One-fifteenth
Three-fifteenths
Four-fifteenths
Seven-fifteenths

Answers

seven-fifteenths is your answer

Please hurry!

What is the rate of change of the function shown on the graph? Round to the nearest tenth.

A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50​

Answers

Answer:

B

Step-by-step explanation:

10 POINTS!!!!

do the question in the image

Answers

Answer:

4x+3=27

Step-by-step explanation:

So there are 4 x so the first part of the 3quation should be 4x then you have 3 so you add three. Your equation should now be 4x+3, and then the sum of all that should equal 27. So therefore the equation is 4x+3=27

6/7 + 6/14
it says your answer should be a whole​ number, fraction, or mixed​ number

Answers

Answer:

1 2/7

Step-by-step explanation:

i did the math :) ................

Jamie is helping out in the school library. He needs to figure out how many shelves the library staff should order for a new reading corner. There are 378 books for the reading corner. Each shelf holds 50 books. The librarian wants to put all the books on shelves. How many shelves should the library order?

Answers

Answer:

8 shelves

Step-by-step explanation:

First do 378 divided by 50 then you when you get your answer (with remaining numbers) you add one more book case so 378 divided by 50 is 7 then you have a remainder 28 so add another shelf which is now 8 shelves!

Pls help me. It due ASAP...

Answers

Answer:

b

Step-by-step explanation:

Simplify -3x^2-5x^2(4x^3-x^2)2

Answers

Let's simplify step-by-step.

−3x2−5x2(4x3−x2)(2)

Distribute:

=−3x2+−40x5+10x4

Answer:

=−40x5+10x4−3x2

Jeremy is plotting a line with a slope of 3. He starts by plotting the point (-4,-3). He then plots a second point on the line 6 units to the right, and k units up. His value of k must be a. 9 b. 18 c. 2 d. 24

Answers

Answer:

27

Step-by-step explanation:

Slope = 3

(-4, - 3) (6, k)

(y2 - y1) /(x2 - x1) = 3

(k + 3) / (6 + 4) = 3

(k +3) / 10 = 3

k + 3 = 30

k = 30 - 3

k = 27

Please solve!! :)
-3 lx+4l= -6

Answers

Answer:

x = -2, -6

Step-by-step explanation:

I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)

help me plz will mark brainliest (final project btw)

Answers

Answer:

Angle 1: 68

Angle 2: 136

Angle 3: 46

Use a graphing calculator or other technology to answer the question.

Which quadratic regression equation best fits the data set?




yˆ=1.87x2+5.16x+10.54

yˆ=1.87x2+5.16x

yˆ=1.87x2−5.16x+10.54

yˆ=−1.87x2+5.16x
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7

Answers

9514 1404 393

Answer:

   (c)  y = 1.87x^2 -5.16x +10.54

Step-by-step explanation:

The attached graphing calculator output shows the best choice is the third one.

__

Additional comment

The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.

Answer:

yˆ=1.87x^2−5.16x+10.54 is correct for all future users

Step-by-step explanation:

hi can someone please help me

Answers

Answer:

Volume = 1436.8 cm³

Step-by-step explanation:

Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = radius of the sphere

For a sphere which has the radius = 7 cm

Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]

                                     = 1436.76

                                     ≈ 1436.8 cm³

Therefore, volume of the sphere is 1436.8 cm³.

The turtle pond measures 40 square feet. 1 turtle requires approximately 2 square feet of space. Using this information, determine the maximum population size of the turtles in the pond.

Answers

Answer:

20 turtles

Step-by-step explanation:

40 divide 2 = 20

PLEASE help me with this!​

Answers

The answer is d.

The easiest way is to find a point within the shaded region and test out the equation.
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