Question

What is https://static.k12.com/bank_packages/files/media/mathml_7192a9e5081498b8de85a6c773ad844d032dd194_1.gif when z = −3?

Answer 1

@mathstudent55

Answer 2

We have the equation of
4z-3/z+6
\[f(z) =\frac{ 4z-3 }{ z+6 }\]

Answer 3

I set it up as f(z) to help show how to substitute the variable in. When z = -3, it then becomes f(-3), you will then subsitutute -3 where z appears.

Answer 4

For example, we have the equation of 2x+3 when x = 2
So f(x)=2x+3
f(2)=2(2)+3 .

Answer 5

Once you substitute the variable in for the given "Z" values, you may then solve.

Answer 6

It will either be a fraction, of if evenly dividable, e.g 10/2, a whole number. :-) If you need help working it out, let me know.

Answer 7

Plug in all of the "z" with the number it gave you.

\[\frac{ 4*-3-3 }{ -3+6}\]

Solve for that:
= -5

Final answer: -5

Answer 8

Was that correct?

Answer 9

\[\frac{ -15 }{ -3+6}\]

Answer 10

When we simplify the top variables, we get -15. Next, to the bottom

Answer 11

\[\frac{ -15 }{ 3}\]

Answer 12

Then simplify ; you get -5.
Yes @Luckyness you are correct.

Answer 13

Thanks!