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2 years ago

Giúp em nhanh ạ (x+2)(x−2)−(x−3)(x+5)=0

Mathematics

1 answer:

Ivenika [448]2 years ago

4 0

Answer:

x=11/2

Step-by-step explanation:

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A Air Freshener Used 3 3/4 milliliters perfume wanted to make 3 air freshners how many milliliters of perfume woud she use

larisa [96]

1 and a fourth because 3 3/4 devided by three equals 1 1/4

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2 years ago

What is 20,484,163 in expanded form

LuckyWell [14K]

20,000,000+400,000+80,000+4,000+100+60+3

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2 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

3 years ago

Find the 63rd term of the arithmetic sequence -1, 5, 11, ...−1,5,11,...

Ugo [173]

Answer:

$a_6_3=371$

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference

we have

$-1,5,11,...$

Let

$a_1=-1\\a_2=5\\a_3=11$

$a_2-a_1=5-(-1)=5+1=6$

$a_3-a_2=11-5=6$

The common difference is $d=6$

We can write an Arithmetic Sequence as a rule

$a_n=a_1+d(n-1)$

where

a_n is the nth term

d is the common difference

a_1 is the first term

n is the number of terms

Find the 63rd term of the arithmetic sequence

we have

$n=63\\d=6\\a_1=-1$

substitute

$a_6_3=-1+6(63-1)$

$a_6_3=-1+6(62)$

$a_6_3=-1+372$

$a_6_3=371$

6 0

3 years ago

What is the first step in solving the equation x2 - 25 = 0?

Finger [1]

Answer:

first step - make x² the subject of the formula

x² = 25

second step :

find the square root of both sides

√x² = √25

x = 5

Step-by-step explanation:

5 0

2 years ago