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Shalnov [3]
3 years ago
13

Consider the line y = x – 4. A line parallel to the graph of the line would have a slope of . A line perpendicular to the graph

of the line would have a slope of .
Mathematics
2 answers:
kotykmax [81]3 years ago
4 2

Answer:

A. 1

B. -1.

Step-by-step explanation:

We have been given an equation of a line y=x-4.

A. We know that slope of parallel lines is always equal,

We can see that slope of our given line is 1, therefore the slope of the line parallel to our given line would be 1.

B. We know that the product of slopes of two perpendicular lines is -1.

Let m represent slope of perpendicular to our given line, then:

m\times 1=-1

m=-1

Therefore the slope of the line perpendicular to our given line would be -1.

PSYCHO15rus [73]3 years ago
5 0

Answer:

2/3  and -3/2

Step-by-step explanation:

Sonia
2 years ago
thank you
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What is the length of a rectangle with width 14in. and area 91in.²​?
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3 years ago
See attachment for the full question
alexandr402 [8]

The inverse of the demand function is; P = 9 - 0.25Q

The profit-maximizing price and quantity are; $8.5 and 2 units.

The maximum profit is; $1

<h3>How to find the inverse of a function?</h3>

A) The demand function we are given is;

Q = 36 - 4P

Making P the subject gives the inverse demand function;

P = (36 - Q)/4

P = 9 - Q/4

P = 9 - 0.25Q

B) The profit-maximization point is the point at which MR = MC.

MR refers to the marginal revenue and MC is the marginal cost.

MC can be calculated as the first derivative of the cost function:

C(Q) = 4 + 4Q + Q²

MC = C'(Q) = 2Q + 4

Total Revenue = Price * Quantity

Total Revenue = (9 - 0.25Q) * Q

Total Revenue = 9Q - 0.25Q²

MR is gotten by differentiating Total Revenue to get;

MR = 9 - 0.5Q

Applying the condition MR = MC, we have;

9 - 0.5Q = 4 - 2Q

Solving for Q gives Q = 2

Thus, profit maximizing quantity is 2.

Thus, profit maximizing price will be;

P(2) = 9 - 0.25(2)

P(2) = $8.5

C) Formula for Maximum Profit is;

Profit = Total Revenue - Total Cost

Total Revenue = 8.5 * 2

Total revenue = $17

Total Cost is;

C(2) = 4 + 4(2) + 2²

C(2) = $16

Thus;

Maximum Profit = 17 - 16 = $1

Read more about Inverse of a function at; brainly.com/question/13948067

#SPJ1

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