KairieZ346608 KairieZ346608
  • 03-11-2022
  • Mathematics
contestada

which of the following equations represent linear functions? A. x^2+y^2=1 B. x+y=14 C. y=6/x D. y=3(2x+1)

Respuesta :

JimiE563648 JimiE563648
  • 03-11-2022

A linear function has this form:

[tex]y=ax+b[/tex]

Notice that option A cannot be written in this form, because x and y have a square power. If you clear y you'll get:

[tex]y=\sqrt[]{1-x^2}[/tex]

Option B you can write it in the form of a linear equation:

[tex]y=14-x[/tex]

For this option, a = -1 and b = 14

Option C cannot be written in this form:

[tex]y=\frac{6}{x}[/tex]

And option D can be written like that:

[tex]y=6x+3[/tex]

Here, a=6 and b=3.

So, options B and D are linear equations

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