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Elan Coil [88]
2 years ago
5

What is the solution to the system of equations below? y = negative one-fourth x + 2 and 3 y = negative three-fourths x minus 6

no solution infinitely many solutions (–16, 6) (–16, –2)
Mathematics
2 answers:
ValentinkaMS [17]2 years ago
8 0

Answer:

A: no solution

Step-by-step explanation:

I got it right on Edge

Arlecino [84]2 years ago
6 0

Answer:

no solution

Step-by-step explanation:

Suppose the system equations are:

y = (-1/4)x + 2   (1)

3y = (-3/4)x – 6    (2)

If we multiply equation (1) by 3:

3y = (-3/4)x + 6      (1)

3y = (-3/4)x – 6       (2)

then subtract it from equation (2):

0y = 0x – 12

0 = -12

This is not possible, therefore, the system equation has no solution

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X+1=y+1

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7 0
2 years ago
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
Anni [7]

Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

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Answer:

The equation would be:

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In the attachment!!!

<em>Hope this helps!!!</em>

<em>Sofia</em>

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Step-by-step explanation:

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