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pshichka [43]
4 years ago
9

If f(x) = 2x 2 square- x, find f(-3). 15 21 39

Mathematics
1 answer:
Norma-Jean [14]4 years ago
7 0
F(x)=2x^2-x
f(-3)=2(-3)^2-(-3)
f(-3)=2(9)+3
f(-3)=18+3
f(-3)=21
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What is the repulsive force between two pith balls that are 13.0 cm apart and have equal charges of −24.0 nC?
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Answer:

The repulsive force is 3.067\times10^{-4}N.

Step-by-step explanation:

Consider the provided information.

The coulomb's law to calculate the repulsive force: F=\frac{kQ_1Q_2}{r^2}

Where the value of k is 9.00×10⁹ Nm²/C²

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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

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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.

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Answer:

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21. x = 11, y = 12

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2x+9=4y-9\\ \\3x-5=2y+8

Solve this system of two equations:

\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.

Multiply the second equation by 2 and subtract it from the first equation:

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Substitute it into the first equation:

2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10

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