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2 years ago

What is the simplified form of the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3?

Mathematics

1 answer:

olganol [36]2 years ago

8 0

$\dfrac{x+6}{3}-\dfrac{x+2}{3}=\\\dfrac{x+6-x-2}{3}=\\
\dfrac{4}{3}$

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If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

3 years ago

If y=6 When x=10,find x when y=18

erik [133]

X=22 because if y=6 and x=10 so 6+4=10 so 18+4=22

5 0

3 years ago

-4x = -28<br> I need an answer...

Strike441 [17]

Answer:

x = 7

Step-by-step explanation:

-4x/-4 = -28/-4

x = 7

7 0

2 years ago

At a farmers market, Apples are priced at 4lbs for 10$ Raigen needs 8 pounds to make Apple pie. Which equation can be used to fi

Rasek [7]

Answer:

The equation S / 8 = 2.5

3 0

3 years ago

Which inequality represents all values of x for which the product below is defined?

Vedmedyk [2.9K]

Step 1 ) Separate the 4 and x.

$\displaystyle\sqrt{4x} * \sqrt{x+2}$

↓

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

Step 2 ) Simplify the square root of 4.

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

↓

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Step 3 ) Simplify.

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

↓

$\displaystyle\ 2 \sqrt{x(x+2)}$

This is now in its simplest form, so the final answer is...

$\displaystyle\ 2 \sqrt{x(x+2)}$

or it could be...

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Either one is correct. Only difference is one is in simplest form and one isn't.

•

- Marlon Nunez

7 0

3 years ago

Read 2 more answers