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FrozenT [24]
3 years ago
15

What are the solution of the following system X-y=-4 / 4x-4y=-16

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

Solve equation [1] for the variable  y  

 [1]    y = -x - 4

Plug this in for variable  y  in equation [2]

  [2]    4x - 4•(-x -4) = 16

  [2]    8x = 0

Solve equation [2] for the variable  x  

   [2]    8x = 0  

  [2]    x = 0  

By now we know this much :  

   x = 0

   y = -x-4

Use the  x  value to solve for  y  

   y = -(-0/32766)-4 = -4  

Solution :

{x,y} = {0/32766,-4}

{x,y} = {0,-4}

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If f(x) = x2 + x - 8, find f(-3).
dalvyx [7]

Answer:

-17

Step-by-step explanation:

it's telling you to replace x with -3.

You have to replace all the x's with -3.

(-3)2 + (-3) - 8 = -17

5 0
2 years ago
Write the equation of a possible rational
kondor19780726 [428]

Answer:

The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)

Step-by-step explanation:

A rational equation is a equation where

\frac{p(x)}{q(x)}

where both are polynomials and q(x) can't equal zero.

1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

(x - 2)

in our denomiator.

So right now we have

\frac{p(x)}{(x - 2)}

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.

We can model -2.5 as

(2x + 5)

So we have as of right now.

\frac{(2x + 5)}{(x - 2)(2x + 5)}

Now let see if this passes throught point (6,-3).

\frac{(2x + 5)}{(x - 2)(2x + 5)}  = y

\frac{(17)}{68}  =  \frac{1}{4}

So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.

If we have a variable r, in the numerator that will make this applicable, we would get

\frac{(2x + 5)r}{(2x + 5)(x - 2)}  =  - 3

Plug in 6 for the x values.

\frac{17r}{4(17)}  =  - 3

\frac{r}{4}  =  - 3

r =  - 12

So our rational equation will be

\frac{ - 12(2x + 5)}{(2x + 5)(x - 2)}

or

\frac{ - 24x - 60}{2 {x}^{2}  + x - 10}

We can prove this by graphing

5 0
2 years ago
What is the slope of the line passing through points A and B?
masya89 [10]

Answer: 2/4 simplified to 1/2

Step-by-step explanation:

7 0
3 years ago
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salantis [7]
Yes the answer is 30.
3 0
3 years ago
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Out of 431 applicants for a job, 142 have over 5 years of experience and 103 have over 5 years of experience and have a graduate
Savatey [412]

Answer:

  • 0.2390

Step-by-step explanation:

<u>Given</u>

  • Total applicants = 431
  • Applicants with graduate degree and over 5 years of experience = 103

Probability = favorable outcomes/total outcomes

<u>Required probability </u>

  • 103/431 = 0.2390 rounded to 4 decimal places
3 0
3 years ago
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