kathouston59
kathouston59 kathouston59
  • 15-09-2021
  • Mathematics
contestada

Determine whether the following equation defines y as a function of x:
xy + 5y =4
Yes
No

PLEASE HELP NO LINKS

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 27-09-2021

A relation or equation may or may not represent a function.

The equation defines y as a function of x

The equation given as:

[tex]xy + 5y = 4[/tex]

Factor out y

[tex]y(x + 5) = 4\\\\\\[/tex]

Divide both sides by [tex]x + 5[/tex]

[tex]y = \frac{4}{x + 5}[/tex]

Because y can be made the subject of formula of [tex]xy + 5y = 4[/tex], then it means that: y is a function of x.

Hence, the correct statement is (a) Yes

Read more about functions and relations at:

https://brainly.com/question/6241820

Answer Link

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