Question

select all correct answers

Answer 1

Answer:

1, 2, 4

Step-by-step explanation:

Consider all options:

1. $3x+9y=54$

Express y:

$9y=54-3x\\ \\y=6-\dfrac{1}{3}x$

This is the equation in the form

$y=mx+b,$

so this is a linear function.

2. $y=\dfrac{x}{3}$

can be rewritten as

$y=\dfrac{1}{3}x+0$

This is the equation in the form

$y=mx+b,$

so this is a linear function.

3. $y=x(2x-3)$

This function is equivalent to the function

$y=2x^2-3x$

This is quadratic, not linear function.

4. $y=0.4x-2.2$

This is the equation in the form

$y=mx+b,$

so this is a linear function.

5. $\dfrac{2}{x}-8=y$

This is not linear function, because x is in the denominator.

6. $y=\sqrt{4x}$

This is not linear function because there is a squer root of x.