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klasskru [66]
3 years ago
15

Expand (n+5)^2 by rewriting the expression a multiplication of n 5 by itself and using the FOIL

Mathematics
1 answer:
damaskus [11]3 years ago
8 0
(n+5) ^{2} = (n+5)(n+5)

Now we use FOIL to rewrite the expression.

FOIL is:
First
Outer
Inner
Last

That's the order we will be distributing the variables in the parentheses.

n^{2} + 5n +5n +25

Combine like terms:
n^{2}+10n+25

That's your final answer.

Hope that helps.

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Answer:

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Step-by-step explanation:

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How much longer is a 12cm pencil than a 1 dm pen
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Please help me ... Tim has developed a money saving strategy that use the formula S=450+100r give a possible interpretation of T
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3 years ago
Expand and combine like terms.<br> (3c^4-5c^6)^2
lora16 [44]

Answer:

9c^{8} -30c^{10} + 25c^{12}

Step-by-step explanation:

We can use formula (a-b)² = a² -2ab + b².

In our example a = 3c^4 and b = 5c^6

(3c^{4} - 5c^{6})^{2} = [3c^{4} ]^{2} - 2*3c^{4} *5c^{6} + [5c^{6}]^{2}=\\=9c^{8} -30c^{10} + 25c^{12}

4 0
3 years ago
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
4 years ago
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