The profits of two different manufacturing plants can be modeled as shown. Where x is the number of units produced at each plant.

Plant 1 : P1 (x) = -0.03x^2 + 25x - 1500

Plant 2 : P2 (x) = -0.02x^2 + 21x - 1700

Find polynomials representing the difference in profits between the companies. Find P1(x) - P2 (x) and P1 (x). Compare the two differences and draw conclusions. Show work and make a equation

The Profits Of Two Different Manufacturing Plants Can Be Modeled As Shown. Where X Is The Number Of Units

Answers

Answer 1
the answer to this is 600
Answer 2

P1(x) - P2(x) = -0.01x² + 4x + 200

This shows that P1(x) profit is less than P2(x).

P2(x) - P1x = 0.01x² - 4x - 200

This shows that P2(x) profit is more than P1(x).

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

Plant 1:

P1 (x) = -0.03x² + 25x - 1500

Plant 2:

P2 (x) = -0.02x² + 21x - 1700

P1(x) - P2(x):

= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)

= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700

= -0.01x² + 4x + 200

For any x value, we will get a negative value.

This means,

P1(x) profit is less than P2(x).

P2(x) - P1x:

= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)

= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500

= 0.01x² - 4x - 200

For any x value, we will get a positive value.

This means,

P2(x) profit is more than P1(x).

Thus,

P1(x) - P2(x) shows that P1(x) profit is less than P2(x).

P2(x) - P1x shows that P2(x) profit is more than P1(x).

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ2


Related Questions

A roller coaster goes down 0 feet and then up 55 feet.

Answers

Answer:

was that the full question? i cant seem to understand what your asking

Step-by-step explanation:

what do you need help with ??

Help please I need help

Answers

Answer:

12=4 3          4=2 2

Step-by-step explanation:

Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)

5 times the sum of 3 and 4, then subtract 4

5 times 3 plus 4 minus 4

5 more than the sum of 3 and 4, and then subtract 4

5 times 3 plus the difference of 3 and 4

Answers

Answer:

5 times the sum of 3 and 4, then subtract 4

Answer:

5  times the sum of 3 and 4, then subtract 4

Step-by-step explanation:

Hope this helps

3(x-5)=9 i don't know what to do

Answers

Answer:

x=8

Step-by-step explanation:

3(x-5)=9

3x-15=9

3x-15+15=9+15

3x=24

x=8

Answer:

x=8

Step-by-step explanation:

3(x-5) = 9

(3(x-5))/3 = 9/3

x-5 = 3

x-5+5 = 3+5

x=8

I need the answer for this please help me find X and Y

Answers

Answer:

x = 12

y = 60

Step-by-step explanation:

Remark

What you are given is a parallelogram. These figures have opposite sides equal and parallel. Parallelograms also have angles opposite each other equal. Put into simpler language

Equations

y = 60                 Opposite angles are equal

x + 3 = 15            Opposite sides are equal.

Solution

y = 60 (see the remark)

x + 3 = 15            Subtract 3 from both sides

x = 15 - 3

x = 12

What is the following product

Answers

Answer:

6 (square root )432 (option 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

⁶√(432)

what is the geometric mean between 7 and 12

Answers

Answer:

Geometric Mean = 9.17

Step-by-step explanation:

Here,

a = 7

b = 12

Geometric mean = root(ab)

= root( 7 x 12)

= root(84)

= 9.17

9.5 is the geometric mean of any 2 numbers.

need help
problem/question in image below ​

Answers

Answer:

Option A would be the correct answer

I don't have an explanation to type but you can trust me :)

Please mark as brainliest for further answers :)

Anyone know this cause my sister been lost for a day on this. I know it's nice t that hard to most of y'all but it's hard for her. ( will give big brain if I can)

Answers

Answer: The book tax is $1.10 and the video game is $3.40 so i'll let you figure this out

tell your sister that the nae nae frog has blessed her with the answer

HELP ME PLEASE I need it

Answers

The answer should be
f=1/5 x^2 + -2/5x

Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?

A $28.80
B $2,880.00
C $508.80
D $768.00

Answers

Answer:

c

Step-by-step explanation:

what are systems of equations and inequalities definitions?

Answers

Answer:

A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.

Step-by-step explanation:

Hope this helps. :D

Help please I’m being timed!!

Answers

Answer:d

Step-by-step explanation:

Evaluate the expression below
(1/7)³

Answers

Answer:

1/49

Step-by-step explanation:

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

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: {7}^{ - 3}}}}}}} [/tex]

Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?​

Answers

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

ILL WILL BRAINLIEST YOU IF YOU GET IT RIGHT

PLEASE HELP ME FIND THE DISTANCE OF THE DIAGONAL

Answers

Step-by-step explanation:

Let x be the diagonal distance,

by pythagoras' theorem,

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the diagonal

a and b are the 2nd and 3rd longest side, interchangeable.

given a = 50m, b = 25m,

[tex] {c}^{2} = {50}^{2} + {25}^{2} \\ {c}^{2} = 2500 + 625 \\ {c}^{2} = 3125 \\ c = \sqrt{3125} \\ = 55.9m \: (nearest \: tenth)[/tex]

kk where my brainliest

Step-by-step explanation:

Explanation: You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

63
Which expression is not equivalent to
66
A
62
B
1
216
1
D

Answers

Answer:1216

Step-by-step explanation:

It’s to big and if this helps plz but a brainly :)

Kelly has $100 she received for her birthday She saves $10 each week from doing chores Which function can be used to find t the amount of money Kelly will have saved

Answers

Answer:

$620 every year

Step-by-step explanation:

Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.

Camden put $25,000 in an investment 10 years ago. The investment increased in value by 5.6% per year. What is the value of the investment now?

Answers

Answer:

$26,000

Step-by-step explanation:

5.6% of $25,000

=$1400

$1400+$25,000= $26,000

Find the solution: Mrs. Simms is planning a garden. IT will be 27 feet long and 18 feet wide. What will be the area of the garden?​

Answers

Answer:

486 feet squared

Step-by-step explanation:

What is the following product

Answers

Answer:

the answer is 7x^2-12x square root of 14 +72 (option 2)

Step-by-step explanation:

The volume of the rectangular prism is ________ cm3

Answers

Answer:

volume of rectangular prism =l×w×h

volume of rectangular prism =4cm×2cm×7cm

volume of rectangular prism =56cm³

Answer:

The volume of the rectangular prism is [tex]56cm^3[/tex]

Step-by-step explanation:

To find the volume of a rectangular prism, you need to multiply the length, width, and height of the rectangular prism altogether. In this case, the length is 4cm, the width is 2cm, and the height is 7cm. So the volume of the rectangular prism would be [tex]7*2*4[/tex] = [tex]7 * 8[/tex] = [tex]56cm^3[/tex].

can someone please help me.

Answers

Answer:

y=70° x=11

Step-by-step explanation:

.............ur welcome...........

What is the distance between the points (-5, 9) and (4, 9) on the coordinate plane? 9 9 1 1 10 10 90

Answers

Answer:

9 units

Step-by-step explanation:

Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]

To find: distance between points [tex](-5,9),\,(4,9)[/tex]

Solution:

According to the distance formula,

Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]

Therefore,

Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]

                                                               [tex]=\sqrt{(9)^2}[/tex]

                                                               [tex]=9[/tex] units

******WORTH 85 POINTS******WILL MARK BRAINLIEST*****PLEASE ANSWER ALL QUESTIONS****
A catering company is setting up tables for a big event that will host 360 people. When they set up the tables they need 2 forks for each

child and 5 forks for each adult. The company ordered a total of 1470 forks. Set up a system of equations involving the number of adults,

a, and the number of children, c, and solve to find out how many of each attended the event.



A) Create an equation to represent the breakdown of people attending this event (children and adults).

B) Create an equation to model the number of forks used at this event.

C) Solve the system you created and write down the number of Children and Adults that attended.

Answers

180 c

70 a

360 divided by 2 = 180 c

360 divided by 5 = 70 a

HELP PLEASE Quadratic Equations Math Nation

Answers

Answer:

its 5/6

Step-by-step explanation:

we just group things around and we have this

36 m^2 - 60 m = -25

Alternate forms:

12 m (3 m - 5) = -25

36 m^2 - 60 m + 25 = 0

Solution:

m = 5/6

Put these numbers in order from least to greatest.

Answers

i believe the order you have it in is correct

can i get some help please i would really appreciate it ;)

Answers

A. They go on forever

What is the surface area of the cone? (Use 3.14 for π.)



339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2

Answers

Answer:

tambil anseeciot

Step-by-step explanation:

How could an Environmental Science and Protection Technician and an Environmental Engineering Technician be compared?

The careers are basically the same because both focus on protecting the environment.

Both focus on protecting the environment, but an Environmental Science and Protection Technician uses equipment to reduce the impact of issues while an Environmental Engineering Technician performs tests to identify issues.

Both focus on protecting the environment, but an Environmental Science and Protection Technician performs tests to identify issues while an Environmental Engineering Technician uses equipment to reduce the impact of issues.

The careers are different and belong to different career pathways within Manufacturing.

Answers

Answer:

the third one is correct. based on recent studies that i have read based on this topic. it should be right.

brainliest?

Step-by-step explanation:

3

Step-by-step explanation

edg

Other Questions
0. Folded boxes a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 5 ft by 8 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Squares with sides of length x are cut out of each corner of a square piece of cardboard with sides of length /. Find the volume of the largest open box that can be formed in this way. Which of the following is most likely to happen if a cell is not able to divide? (5 points) a The cell will create two identical daughter cells. b The cell will absorb oxygen during photosynthesis. c The cell will not be replaced when it is damaged. d The cell will not release carbon dioxide during respiration.Which of the following is most likely to happen if a cell is not able to divide? (5 points) a The cell will create two identical daughter cells. b The cell will absorb oxygen during photosynthesis. c The cell will not be replaced when it is damaged. d The cell will not release carbon dioxide during respiration. Which of the following has had the most negative effect on Earth's ecosystems?A. establishment of air pollution standards.B. increase in human populationC. recycling glass, plastic, and metalsD. use of natural predators to control pest insects. Which of the following best describes who must accompany the learner for legal use of a Learners license? I need help with this, thank you The answer to this question At which point on the roller coaster will the car have the greatest amount of Kinetic energy? Arm straight pull it across your body what muscle are you stretching Help me with my history Im stuck in this question. Please someone help me HELP PLEASE!! No websites allowed please, complete 1,2,3, and 4.NO WEBSITES! OR YOU ARE REPORTED thank you When both lactose and glucose are available to E. coli, which part of the lac operon regulation assures that glucose will be metabolized first? When both lactose and glucose are available to E. coli, which part of the lac operon regulation assures that glucose will be metabolized first? Permease allows lactose to enter the cell when lactose enters the cell. The repressor binds to the operator in the absence of lactose. The repressor cannot bind to the operator in the presence of lactose. RNA polymerase transcribes the lac operon to make a single RNA molecule. CAP binds to cAMP and then to the promoter only in the presence of low glucose. Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system. Please help! Carey Company had sales in 2016 of $1,560,000 on 60,000 units. Variable costs totaled $900,000, and fixed costs totaled $500,000. A new raw material is available that will decrease the variable costs per unit by 20% (or $3). However, to process the new raw material, fixed operating costs will increase by $100,000. Management feels that one-half of the decline in the variable costs per unit should be passed on to customers in the form of a sales price reduction. The marketing department expects that this sales price reduction will result in a 5% increase in the number of units sold. (a) Prepare a projected CVP income statement for 2017, assuming the changes have not been made, and (b) assuming that changes are made as described. ye I dont so any of yall got the answer? escribe en tu cuaderno, la estructura del pasado simple en las formas , afirmativa, negativa e interrogativaayudennnnnnnn Help me please. Im having trouble. NO SCAM LINKS. Which phrases from Martin Luther King Jr.s "I Have a Dream speech contain strong emotional connotations? Select 3 options. in a sense sweltering with the heat of oppression an oasis of freedom vicious racists there is something At a frozen yogurt shop, youpay $1.50 for the cup and$0.50 per ounce. If the totalcost of a cup of yogurt is$4.00, how many ounces ofyogurt did you buy? decide if the two statements are logically equivalent statements, negations or neither