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Lilit [14]
3 years ago
12

Help answer question. With explanation

Mathematics
1 answer:
umka21 [38]3 years ago
8 0

Answer:

- 2x² - 2x + 82

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) , then

f(x) - g(x)

= 2 - x² - (x² + 2x - 80) ← distribute parenthesis by - 1

= 2 - x² - x² - 2x + 80 ← collect like terms

= - 2x² - 2x + 82

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Given circle O, angle A has a measure of 36° and the radius is 10 cm, find the area of sector BOC.
Fed [463]

Answer:

The area of the sector BOC is A' = 31.4 cm^{2}

Step-by-step explanation:

Radius of the circle = 10 cm = 0.1 m

Angle of sector \theta = 36°

Area of the circle A = \pi r^{2}

A = 3.14 × 0.1^{2} = 0.0314 m^{2}

Now area of the sector BOC is

A' = A (\frac{\theta}{360} )

A' = 0.0314 (\frac{36}{360} )

A' = 0.00314  m^{2} = 31.4 cm^{2}

Therefore the area of the sector BOC is A' = 31.4 cm^{2}

7 0
4 years ago
Which ordered pair is a solution of this equation -x-y = 6
VLD [36.1K]

Answer:

(-4,-2)

Step-by-step explanation:

This is because two negatives make a positive. When adding 4 and 2 is 6 hence thats the answer.

4 0
3 years ago
Read 2 more answers
Suppose that your start a business manufacturing and selling luxury bean bag chairs. It will cost $4000 to get your business sta
emmasim [6.3K]

Suppose that your start a business manufacturing and selling luxury bean bag chairs. It will cost $4000 to get your business started. You also calculate that each luxury bean bag chair will cost you $50 to produce

1. write an equation for the total cost to manufacture n luxury bean bag chairs.  

you decide to sell the luxury bean bag chairs for 62.50 each (revenue is the total money coming in from sales.)  

2. write an equation for the total revenue  made from selling n luxury bean bag chairs.  

3. solve the system of equations algebraically

Answer:

Step-by-step explanation:

From the given question;

1.

Let assume that c1 to be the cost  and n to be the number of bean bags produced.

amount used to start the business = $4000

thus;

The equation for the total cost to manufacture n luxury bean bag chairs is:

c₁ = 50 n + 4000

2.

Let c₂ be the total revenue made from selling ; then since 62.50 revenue is generated from each bag n sold

therefore ;

c₂ = 62.50 n

3.

c₁ = c₂

50 n + 4000 =  62.50 n

4000 = 62.50 n - 50 n

4000 = 12.50 n

n = 4000/12.50

n = 320

We can infer that in order to start making profit from the amount used tot start the business, you must have sold 320 bean bags.

8 0
3 years ago
Put the numbers in order from smallest to largest.
Ad libitum [116K]
16, 16.02, 16.15, 16.819, 16.85
5 0
4 years ago
Read 2 more answers
Divide (18x^3 + 12x – 3x) ÷ 6x^2.
Scilla [17]
18x^3 +9x / 6x^2 = 3x
18x^3 
--------
   0    9x 

so than (18x^3 +9x) divided by 6x^2 will be equal 3x and the remainder is 9x
3 0
4 years ago
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