Mathematics College

b) If the marginal revenue function for output x is given by MR = C, where a, b, c, m and n are constant. mn (ax+b)² Prove that the demand function is p mn b(ax+b) C.
​

Answers

Answer 1

The demand function is given by the expression -

D{x} = mn(a²x + 2b + b²)

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the revenue function as follows -

f(x) = mn (ax + b)²

The revenue function is simply [x] multiplied by the demand function.

R{x} = x (D{x})

The revenue function is -

f(x) = mn (ax + b)²

So, the demand function can be written as -

mn(ax + b)² = x (D{x})

D{x} = {mn(ax + b)²}/x

D{x} = {mn(a²x² + b² + 2abx)}/x

D{x} = {a²x²mn + mnb² + 2bmnx}/x

D{x} = a²xmn + 2bmn + mnb²

D{x} = mn(a²x + 2b + b²)

Therefore, the demand function is given by the expression -

D{x} = mn(a²x + 2b + b²).

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

8

Step-by-step explanation:

Find the compound interest on an investment of $8,000 at 6% compounded semiannually for 3 months.
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It’s a I think. I hope you get it right /)

If the second of three consecutive integers is subtracted from 135, the result is the sum of the first and third. What are the integers?

Answers

Answer:

44, 45, and 46

Step-by-step explanation:

135-(x+1)=x+(x+2)

135-(x+1)=2x+2

135=3x+3

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x=44

So the first number is 44

Then just add 1 and 2 to get 45 and 46 as the second and third number.

help i will give brainliest

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9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The figure is a rhombus when the sides are the same length.

  21 -x = 2x +9

  12 = 3x . . . . . . . . add x-9 to both sides

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NEEDED ASAP PLEASE. 22-32 will give brqinliest no trolls

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HELP DUE SUPER SOON!!
A university has 32,040 students. In a random sample of 270 students, 18 speak three or more languages
Predict the number of students at the university who speak three or more languages.
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Answers

Answer:

2022 students

Step-by-step explanation:

Since 18 out of 270 students speak three or more languages, a prediction would be 30,330 x 18/270 = 2,022 students

Annie had 24 more paper clips than Paul.Paul had 20% fewer paper clips than Annie. How many paper clips do they have altogether help

Answers

Answer:

43.20

Step-by-step explanation:

100%=24

1%=24÷100=0.24

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180%=0.24×180=43.20

i need help with this

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Answer:

b≈41.95

Step-by-step explanation:

can someone help pls?

Answers

try googling it thats what I would do. I think it would be 1/6 tho

Asap need help fast pls!!!!!!

Answers

Answer:

i think its 20 too, tho good luck

Step-by-step explanation:

The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?​

Answers

The answer would be: 250 girls

Answer:

250 girls

Step-by-step explanation:

Boys = Girls

250 = Girls

please help me(i'm not smart so i don't get this at all T-T)

Answers

Answer:

Step-by-step explanation:

6x4=24+1=25 75/25=3 .

oh and btw go back to high school

12 pieces ! ( > < )

for future reference, this will be a lot easier to do than using points !! so simple :))

use your calculator to divide the large number by the small number !! that should give your answer

and remember if a fraction is out of four think of it like quarters or 25 cents :3

so 75 divided by 6.25 is 12 !!

good job !!! ♡♡

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

c

Step-by-step explanation:

Answer:

B and C

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Answer:

The correct one is 6 is 3 times as many as two.

Step-by-step explanation:

Please guys helppp ;( F(x)=mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

Answers

Answer:

I think the answer is m= -1/3 b=7/3

Explanation:

so first, you need to make equations using the info that the question gave.

f(-2)= m(-2)+b f(4)= m(4)+b

= -2m+b =4m+b

f(-2)= 3 f(4)= 1

-2m+b= 3 4m+b=1 -(2)

b= 3+2m -(1)

substitute (1) into (2) : 4m+(3+2m)=1

4m+2m+3=1

6m=1-3

6m= -2

m= -2/6

m= -1/3

Substitute m= -1/3 into (2)

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-4/3 +b =1

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Therefore, m= -1/3 b=7/3

and that's how you do it

Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.
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Suppose that 93% of approximately 1000 total dogs sold by a shelter are up-to-date on their shots. Administration plans to take an SRS of 40 dogs sold by the shelter to see what proportion of the dogs sampled are up-to-date on their shots. What are the mean and standard deviation of the sampling distribution of the proportion of dogs who are up-to-date on their shots? Choose 1 answer:

Answers

Answer: μp^​​​​ = 0.93

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Step-by-step explanation:

ian charges $15 per hour to landscape. if ian hired for more then six hours, he will reduce the cost by $1.50 per hour. write an expression to show the total cost of hiring ian for h hours if he landscapes for more then six hours?

Answers

Answer:

87

Step-by-step explanation:

87 because 15 times 6 equals 90 but take away the 1.50 from eah hou and you get 87

Can someone help me solve?




A. 72
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D.9​

Answers

Answer:

C: 144

Step-by-step explanation:

3 in. × 3 in. = 9

9 in. × 16 in. = 144 in.

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Answers

9514 1404 393

Answer:

  (a)  28

Step-by-step explanation:

Kruskal's algorithm has  you identify the shortest edge at each stage, including in the tree any identified edge that does not form a cycle. Here, we can start with AB, then add DF, EH, HG, BG, AC, CD and that covers the entire graph.

Starting at E, the node list is EHGBACDF. The cost is ...

  3 +4 +5 +1 +6 +7 +2 = 28

__

In the attached, the minimum-cost spanning tree is highlighted in red.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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By adding 4 toppings, the price jumped up 6$ from the 2 toppings. So we can assume that ever 2 toppings it costs 6$. Divide 6 by 2 and you get 3$ per topping.
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