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Aleksandr [31]
3 years ago
15

Given the system of equations:

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the system of equations:

2x + 3y = 15

X + 3y = 0

What is x?

2x + 3y = 15

X + 3y = 0         subtract the bottom equation fron the top one

2x - x + 3y - 3y = 15 - 0        see how the 3y - 3y equates to zero

  2x - x  = 15

        x  =  15        Now for  extra credit what is y?  

                                  X + 3y = 0

                                 15 + 3y = 0

                                 15 - 15 + 3y = 0 - 15

                                          3y = -15

                                        3y/3 = -15/3

                                           y  =  -5

-15

-5

0

5

15​

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Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

a = \sqrt{f + 4} - \sqrt{36 - f}

Required

Find f when a  = 4

Substitute 4 for a

4 = \sqrt{f + 4} - \sqrt{36 - f}

Rewrite as:

\sqrt{36 - f} + 4 = \sqrt{f + 4}

Square both sides

(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2

(\sqrt{36 - f} + 4)^2 = f + 4

36 - f + 8\sqrt{36 - f} + 16 = f + 4

Collect Like Terms

8\sqrt{36 - f}= f +f+ 4 - 36 -16

8\sqrt{36 - f}= 2f -48

Divide through by 2

4\sqrt{36 - f}= f -24

Square both sides

16(36-f) = (f - 24)^2

16(36-f) = f^2 - 48f + 576

576-16f = f^2 - 48f + 576

-16f = f^2 - 48f

Collect like terms

f^2 - 48f + 16f = 0

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Factorize

f(f - 32) = 0

f = 0 or f = 32

f can not be 0 because some units must be ordered.

So, f = 32

6 0
3 years ago
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