The revenue from a company’s factory in Scranton, PA is given by 2n2-15n+23, where n represents the number of paper goods produced in the factory. The cost in dollars of producing paper goods is given by n2+3n+23. Write and simplify a polynomial expression for the profit from making and selling n paper goods.

Answers

Answer 1

Answer:

The polynomial expression for the profit from making and selling 'n' paper goods, is;

n × (n - 18)

Step-by-step explanation:

The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;

R = 2·n² - 15·n + 23

C = n² + 3·n + 23

The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;

The profit, P = R - C

By substituting the polynomials representing 'R', and 'C', we have;

P = 2·n² - 15·n + 23 - (n² + 3·n + 23)

∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23

P = n² - 18·n = n·(n - 18)

P = n·(n - 18)

The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).


Related Questions

i don't understand. please help​

Answers

Answer: 5m

Step-by-step explanation:

The Initial water level means that level amount when the time equal to 0hrs, which is 5m.

The initial water meter means that level amount when the time equals 0hrs which equals 5m

4r + 9s + r+ r+ r+ r+r

Answers

Answer:

9  +  9

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Joses his yearly wages were $50 more than marks, so he earned 16,815.43. Yet he said his taxes are the same as marks. Is he right? How can you tell?

Answers

Answer:

No

Step-by-step explanation:

This depends on many other things but in a basic tax bracket, both Joses and Mark both fall under the 12% tax bracket. This is for individuals who make a yearly salary between $9,876 to $40,125, in which the taxes would be 12% of the yearly salary. Since this is percent based, their taxes would not be the same, they would be close but Mark would still end up paying a little bit more since he made more money.

Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil?

Answers

Answer:

2.5 liters of gas is used with per liter of oil

Step-by-step explanation:

Max is missing oil and gas for his moped.

Amount of gas used = 3.75 liters

Amount of oil required = 1.5 liters

Ratio in which gas and oil are mixed = [tex]\frac{3.75}{1.5}[/tex]

                                                             = [tex]\frac{2.5}{1}[/tex]

That means if he uses 1 liter of oil then the gas required for the mixture = 2.5 liters

Therefore, 2.5 liters of gas is used per liter of oil.

Use the triangle shown to answer the questions that follow.
15 m
X
32
a) Using the 32° as the reference angle, label the hypotenuse (h), adjacent (a) and opposite (0).
b) Which trig function (cos, sin, or tan) could be used to solve for x?
c) Solve for x.

Answers

Answer/Step-by-step explanation:

a. Given that 32° is the reference angle, thus:

Hypotenuse is the side opposite to the right angle

Opposite side is opposite to the defence angle = x

Adjacent side is adjacent to defence angle = 15 m

b. Recall SOHCAHTOA.

We know the length of the adjacent side. We are asked to find x, which is the opposite side. So, we are dealing with Opposite side and Adjacent side.

The trigonometric function we will use to find x would be TOA:

That is,

Tan θ = Opp/Adj

c. Applying TOA:

Tan θ = Opp/Adj

θ = 32°

Opp = x

Adj = 15 m

Plug in the values

Tan 32 = x/15

15 × Tan 32 = x

9.37304028 = x

x = 9.4 (nearest tenth)

the Median.)
Find quartile 2 using the data below:
23, 45, 52, 28, 42, 87, 56, 32, 48, 55, 24, 63, 68, 76, 67

Answers

Answer:

52

Step-by-step explanation:

if you put the numbers in order from least to greatest you'll see that 52 is in the middle

The circumference of a circle is 106.76 yards. What is the circle's radius?

Answers

Answer:

The answer is 16.99

Answer:

It's 17!

Step-by-step explanation:

Can someone please help me figure this out, thanks!

Answers

Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle

For the linear function(straight line) y = 7x - 3,ar function(straight line) y = 7x - 3,

a) What is the slope of the given function?



b) Is the function increasing or decreasing?



c) What is the y-intercept(0, b) of the given function?

Answers

Answer:

a) slope is 7

b) slope is positive, so Increasing

c) y-intercept is -3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Only values that satisfy y > 3x + 1 are solutions.

Only values that satisfy y < 3x – 3 are solutions.

Values that satisfy either y > 3x + 1 or y < 3x – 3  are solutions.

There are no solutions.                                                               Edge 2022

Finish the table using
the equation.


Anyone help please ! ?

Answers

Answer:

y = 0.5,  1,  1.5,  2

Step-by-step explanation:

x is twice as much as y, so when you multiply the input for y by 2, it should get the value of x. Example: if y is 1, then x is 2, because 1*2 = 2

hope this helped!

What is the surface area of this right rectangular prism with dimensions of 8 inches by 4 inches by 14 inches?

Answers

Answer:

400 inches

Step-by-step explanation:

Area of all sides and add them

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

-9p+3

plz mark me as brainliest

8 z
6
OD
UN
4 3
N
1 2 3 4 5 6 7 8 9
x
Which two equations represent the situation?
o y=jx and y=x-4
o =
O y=3+ and y = X+4
O y = 3x and y = x+4
O y = 3x and y = x-4

Answers

Answer:

Step-by-step explanation:


What is the theoretical probability of rolling a 3 on a die?

Answers

Answer:

1/6 or 16.67% chance

Step-by-step explanation:

Assuming its a normal six sided dice. You would have a 16.67% chance of getting a 3.

Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks was 20, and the mean was 21. Which list could show the number of miles Korey ran each of the five weeks?

Answers

Options:

A. 18, 20, 20, 22, 25

B. 20, 20, 20, 25, 25

C. 16, 19, 21, 22, 22

D. 20, 20, 21, 22, 22

Answer:

A. 18, 20, 20, 22, 25

Step-by-step explanation:

Required

Which list has a mean of 21 and median of 20

Each of the list have 5 numbers and they've all been sorted.

The median is the number at the 3rd position (i.e. the middle number)

So, list C and D are out because they do not have a median of 20.

Next, calculate the mean of lists A and B

[tex]\bar x = \frac{\sum x}{n}[/tex]

A. 18, 20, 20, 22, 25

[tex]\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}[/tex]

[tex]\bar x = \frac{105}{5}[/tex]

[tex]\bar x = 21[/tex]

B. 20, 20, 20, 25, 25

 [tex]\bar x = \frac{20 + 20 + 20 + 25 + 25}{5}[/tex]

[tex]\bar x = \frac{110}{5}[/tex]

[tex]\bar x = 22[/tex]

Only list A has a median value of 20 and a mean value of 21

if m < c = 147 , determine m < e

a) 147
b) 57
c) 33
d) 180


Answers

Answer:

c) 33

Step-by-step explanation:

We can calculate supplementary angles by subtracting the given angle from 180°. To find the other angle (in your case, ∠e), use the ∠y = 180° – ∠x where ∠x is the given angle.

Answer:

c)33

Step-by-step explanation:

PLEASE HELP due in a few hours!!

Answers

Answer:

75 meters²

Step-by-step explanation:

4 cm= 5 m

12 cm= 15 m

15×5=75

Area of Patio=75 m²

HELPPP (will mark brainliest)
Vera wants to prove that any rectangle is also a parallelogram.
B
A
D
Select the appropriate rephrased statement for Vera's proof.
Choose 1 answer:

Answers

Answer:

B

Step-by-step explanation:

I did it on khan academy

Sarah is building a birdhouse the nails she uses are 1 inch long the wood board is 1 foot long how many times smaller is the nails compared to the wood ​

Answers

The nail is 12 times smaller than the wood board

a whole number that is a factor of two or more numbers is called a

Answers

Answer: Common factor

common factor. a whole number that is a factor of two or more nonzero whole numbers

Step-by-step explanation:

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: common \: factor \: }}}}}[/tex]

a whole number that is a factor of two or more numbers is called a common factor.

Write the following answers in the form ' x/y or p%'

Answer

Answers

It’s bro 5!59 13 so time to you to get F

This is a 3rd grade math question. I don't know how to explain it to a 9yr old

Answers

this is 3rd grade math? jesus..

Answer:

that poor 3rd grader O.O that is hard

Step-by-step explanation:

online

hi please help i’ll give brainliest

Answers

Answer:

between Jupiter and mars

Answer:

Choice A

Step-by-step explanation:

The Asteroid Belt in our Solar System is in-between the planets Jupiter and Mars.

The asteroid belt is a torus-shaped region in the Solar System, located roughly between the orbits of the planets Jupiter and Mars, that is occupied by a great many solid, irregularly shaped bodies, of many sizes but much smaller than planets, called asteroids or minor planets.

Victoria ate 4\16 of a small pizza for lunch. How is this fraction written as a decimal?​

Answers

Answer:

0.25

Step-by-step explanation:

4/16 --> 1/4 and 1/4 = 0.25

I need help with this 2 questions can someone help me pls I need it !!!!!

Answers

Answer:

8. center: (-7,5)

radius: 9

Step-by-step explanation:

8. to find the center, you need to get the equation in the form of (x-h)^2+(y-k)^2=r^2

you can do this by completing the square:

x^2+y^2+14x-10y-7=0

x^2+14x+49+y^2-10y+25=7+49+25

(x+7)^2+(y-5)^2=81

so, the center is (-7,5) and the radius is 9

Evaluate the expression when b=4 and x=-2 .

b-4x

Answers

Answer:

12

Step-by-step explanation:

b-4x

Plug in 4 as b and -2 as x

= (4)-4(-2)

Multiply 4 and 2

= 4-(-8)

Two negatives make a positive

= 4+8

= 12

I hope this helps!

Yes, the answer above me is correct.

Sergio ate 3.5 cookies. Each cookie contained 5.7 grams of sugar. How many grams of sugar did Sergio eat?

Answers

He ate 9.45g of sugar

3.5 x 2.7 = 9.45

Answer:

19.95

Step-by-step explanation:

5.7 times 3 = 17.1

5.7 ÷ 2 = 2.85

17.1 + 2.85 = 19.95

Jace went shopping for a new video game. The listed price of the video game was $41,
but the price with tax came to $44.28. Find the percent sales tax.

Answers

Answer:

It would be 8% .

Good luck ^^

1. GASOLINE The table gives the cost of a gallon of gasoline at two stations. How much more does gasoline cost at Gas For Less than at Cut-Rate? Cut-Rate 2.x + 3.5 Gas for less V12​

Answers

Answer:

GASOLINE The table gives the cost of a

gallon of gasoline at two stations.

How much more does gasoline cost at

Gas For Less than at Cut-Rate?

Step-by-step explanation:

On Wednesday It reined 2 1/2 inches this was of on inch more than how much it rained the week before. What was the rainfall amount the week before ?

Answers

2.5-1.0=1.5
so 1.5 inches the week before
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