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Citrus2011 [14]
3 years ago
6

Is f(×)=×^2 a function

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

It is a funtion. A quadratic function to be precise.

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What is the quotient (125-8x^3) divided by (25+10x+4x^2)
Alenkinab [10]

Answer:

-2x + 5

Step-by-step explanation:

When you set this problem up:

\frac{125-8x^{3} }{25+10x+4x^{2} }

It's easy to see that you can't really divide them due to their differing variables. So, we need to factor the numerator to give us equivalent variables:

factor: -8x^{3} +125 = -(2x-5)(4x^2 +10x+25)

WAIT! Look at the longer factor:

4x^2+10x+25

It is equivalent to our denominator! Now, that has made the job incredibly easier. Simply cancel out the like terms in the problem and we have our answer:

(-2x + 5)

6 0
4 years ago
5) The perimeter of the given square is 56cm. Construct an equation and hnd
Shtirlitz [24]

Answer:

side = 14 cm

Step-by-step explanation:

Let 'x' be the side of the square.

Perimeter = 4 * side

                = 4*x

                = 4x

4x = 56

Solution:

4x = 56

Divide both sides by 4

x = 56/4

x = 14 cm

3 0
3 years ago
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
Suppose you have a credit card debt of $4,000. Last month the bank charged you $40 interest on the debt. The solution to the equ
attashe74 [19]

Answer:

12%

Step-by-step explanation:

<u>As per the given formula:</u>

  • 40= 4000/12r
  • r = 40*12/4000
  • r = 0.12
  • 0.12*100% = 12%

Interest rate is 12%

7 0
3 years ago
I need help with my math homework so If f(n)=5n+8 <br> F(4)=?
kati45 [8]

Answer:28

Step-by-step explanation: in this case n=4, so you would plug in 4 into the equation: 5(4)+8 which equals 8

3 0
3 years ago
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