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Maru [420]
4 years ago
11

Choose all that apply :)

Mathematics
1 answer:
Veronika [31]4 years ago
7 0

Answer:

1  Multiply the first equation by -1 then add the equations together

3. Multiply the second equation by -1 then add the equations together

4. Multiply the first equation by -2 then add the equations together

5. Multiply the first equation by 2 the second by -1 then add the equations together

Step-by-step explanation:

x+y = 7

2x+y = 5


1  Multiply the first equation by -1 then add the equations together

-x+-y = -7

2x+y = 5

---------------

x    =-2   then solve for y


2.  Multiply the second equation by -1 first equation by -1 then add the equations together

-x+-y = -7

-2x-y = -5

---------------

-3x -2y = -12

Still have both variables


3. Multiply the second equation by -1 then add the equations together

x+y = 7

-2x-y =- 5

----------------------

-x = 2


4. Multiply the first equation by -2 then add the equations together

-2x+-2y = -14

2x+y = 5

--------------

    -y = -9


5. Multiply the first equation by 2 the second by -1 then add the equations together

2x+2y = 14

-2x-y = -5

--------------

y = 9

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5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).
Anon25 [30]

Answer:

The following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
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Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

f(x)=mx+b

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) y^2=\:5x\:+2

y^2=\:5x\:+2  is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) 2x\:+\:4\:=\:3x\:-\:8

2x\:+\:4\:=\:3x\:-\:8

x=12

This is a linear equation is an equation of a straight line, written in one variable.  The only power of the variable is 1

3) y = 3x - 2

y = 3x - 2 is a linear function because it is of the form f(x)=mx+b and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) y\:+\:x^2\:=\:12

y\:+\:x^2\:=\:12 is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) y\:=\:x^2\:+\:2x

y\:=\:x^2\:+\:2x is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) 1

1 is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree 0 or is the 0 polynomial.

7) 3x\:+\:-y\:=\:24

3x\:+\:-y\:=\:24 is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a  summary, the following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
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Answer:

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Step-by-step explanation:

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