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attashe74 [19]
3 years ago
9

One solution, infinitely many solutions, or no solution for #13?

Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

For this system of equations there is infinitely many solutions.  

Step-by-step explanation:

Given the equations:  -4x + 4y = 32 and 3x + 24 = 3y, we need to first get them both in standard form (Ax + By = C) in order to complete the method of elimination to solve.  The first equatoin is already in standard form, however, in order to convert the second equation, we will need to use inverse operations to move the '3x' to the other side of the equation by subtraction of this term from both sides:  3x - 3x + 24 = 3y - 3x or 24 = -3x + 3y.  Rearranging the equation gives us:  -3x + 3y = 24.  In order to use elimination to solve, we must first multiply the first equation be a factor of 3 and the second equation by a factor of -4 in order to have opposite coefficients:

3[ -4x + 4y = 32] = -12x + 12y = 96

-4{-3x + 3y = 24] = 12x - 12y = -96

You can see that if we add these too equations together, we get 0 = 0, which indicates that they are both the same line, making our answer infinitely many solutions.  

alexgriva [62]3 years ago
6 0

Answer:

all work is ahown/pictured

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A shirt originally cost $42.54, but it is on sale for $29.78. What is the percentage decrease of the price of the shirt? If nece
Genrish500 [490]

Answer:

The difference is 30%

Step-by-step explanation:

To find the percent decrease, start by finding the difference in costs.

42.54 - 29.78 = 12.76

Now divide that amount by the original cost.

12.76/42.54 = 30%

4 0
3 years ago
Write the equation for g (x)
belka [17]

Answer:

g(x) = (-1/25)x + (203/25)

Step-by-step explanation:

The general equation for a line is slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).

To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".

g(x) = mx + b                                    <----- General equation

g(x) = (-1/25)x + b                             <----- Plug (-1/25) in "m"

8 = (-1/25)(3) + b                               <----- Plug in "x" and "y" from point

8 = (-3/25) + b                                  <----- Multiply (1/25) and 3

200/25 = (-3/25) + b                       <----- Covert 8 to a fraction

203/25 = b                                      <----- Add (3/25) to both sides

Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).

g(x) = (-1/25)x + (203/25)

4 0
2 years ago
Please help need help bad
Shkiper50 [21]
Hello! The first thing you want to do is add 4 to both sides, which gives you: 7over9x - 4 + 4 = 24 + 4. Then Simplify: 7over9x = 28. Then you just multiply both sides by the number 9! 9 times 7over9 = 28 times 9. Simplfy again! 7xover7 = 252over7. Simply that fraction, and you get x=36. 

~I hope this helped!

I am, yours most sincerely,
Joshua A. Bunn
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How to Write 3,028,002 In Expanded Form
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The answer for x should be X= -9
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