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
Answers
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).
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Related Questions
Type the correct answer in the box. Round your answer to the nearest whole number.If the current trend of registration continues, there will be approximately [ ]participants registered 10 days after registration opens.This above is part B. I need help with filling in the blank. Will give 15 points for help. Please help it's for plato. And I'm add an attachment for Part A and the work I have for part A.
Usan enlarged a rectangle with a height of 4 cm and length of 11 cm on her computer. the length of the new rectangle is 16.5 cm. find the height of the new rectangle.
Given the sequence: 4.5, 5.75, 7, 8.25, Find the common difference
How would you write 2,405 using a power of ten
Answers
Final answer:
In a series of 50 coin tosses, a coin needs to land heads 30 times to have an experimental probability 20% greater than the theoretical probability.
Explanation:
The subject of focus here is the allusion to the theory of probability, particularly in relation to a fair coin flip. The theoretical probability of obtaining either heads or tails in a coin flip is 0.5. However, the student is interested in having an experimental probability 20% greater than the theoretical probability.
We can first calculate the theoretical counts of expected heads per 50 tosses, which is (0.5 * 50) = 25. This result represents the notion that if a coin is thrown 50 times, on average, will land heads 25 times based on the theoretical probability.
To achieve an experimental probability 20% greater than the theoretical probability, we need to find a count of heads that corresponds to a probability that is 20% more than 0.5 (the theoretical probability). This new probability is therefore 0.6 and the corresponding count of heads required would be (0.6 * 50) = 30. Hence, in 50 tosses, the coin would need to show heads 30 times to have an experimental probability 20% greater than the theoretical probability of getting heads.
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Answers
Answer:
The closer a data's point residual is to 0 the better the fit.
please help i’m so confused
Answers
Answer:
-1
Step-by-step explanation:
-isolate everything with x on one side and without x on the other side
-remember if you pass the equal sign change the sign of that term
13x+8x+9x = -22-8
-combine like terms
30x = -30
-divide both sides by 30
x= -1
Answer:
x = -1
Step-by-step explanation:
simplfy to 21x + 8 = -9x -22
add 9x to get 30x + 8 = -22
then subtract 8 to get 30x =-30
divide by 30 and you get x = -1
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
Answers
Answer: A'(-2, -3), B'(-4, 0), C'(-6, -10)
Step-by-step explanation:
To rotate a point (x, y) counterclockwise by 90 degrees about the origin, we can use the following formulas:
x' = -y
y' = x
Let's apply these formulas to each vertex of triangle ABC:
For point A(-3, 2):
x' = -2
y' = -3
So, the coordinates of A' are (-2, -3).
For point B(0, 4):
x' = -4
y' = 0
So, the coordinates of B' are (-4, 0).
For point C(-10, 6):
x' = -6
y' = -10
So, the coordinates of C' are (-6, -10).
Therefore, after a 90° counterclockwise rotation about the origin, the coordinates of the image triangle A'B'C' are A'(-2, -3), B'(-4, 0), and C'(-6, -10).
I hope this helps :)
x-4y=-10
x+y=5
Answers
Answer:
if x+y=5, then x=5-y
so x-4y=-10
5-y-4y=-10
5-5y=-10
-5y=-15
y=3
x=5-y
x=5-3
x=2
x=2; y=3
A. n>7
B.4
C.8 1/3
D7
Answers
Answer:the answer will be 4. and 6.33
Step-by-step explanation:
i did the study island and thats what i got!
if this doest help so sorry.
Final answer:
The correct values of n that make the inequality 28 > 4n a true statement are n>7 and n=7.
Explanation:
The inequality 28 > 4n represents the statement that twenty-eight is more than four times another number. To find the values of n that could make this statement true, we need to solve the inequality. Dividing both sides by 4, we get 7 > n. This means that n can take on any value less than 7, excluding 7 itself. Therefore, the correct values of n are A. n>7 and D. 7.
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