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Reil [10]
3 years ago
15

Y=3x+6 need to be written in standard form

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

3x + 6 = y

Step-by-step explanation:

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Here are the first five terms of an arithmetic sequence. 2 6 10 14 18 Is 86 a term in the sequence? You must give a reason for y
AnnyKZ [126]

Answer:

86 is a term in the sequence

Step-by-step explanation:

2; 6; 10; 14; 18;.....

T1=1*4-2=2

T2=2*4-2=6

T3=3*4-2=10

T4=4*4-2=14

T5=5*4-2=18

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Tn=n*4-2

n*4-2=86

n*4=88

n=88/4

n=22

86 is T22  in  the sequence.

5 0
3 years ago
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(f o g) (x) =<br><br>f(x) =x^2 - 2x , g(x) = x + 8<br><br>x^2 ( x squared) ​
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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

3 0
1 year ago
What is the surface area of a rectangular prism that has a length of 12 mm, a width of 15 mm, and a height of 16 mm?
Shkiper50 [21]
Answer:1.224×10-3m²


Mark me brainliest
5 0
2 years ago
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