What is 4z-3 when z = −3?
----
z+6

Question

What is 4z-3 when z = −3?
            ----
            z+6

mathmale · Answer

You are given an algebraic fraction and are asked to evaluate it at a certain z value (z=-3).
Show your work, please.

sushi121212 · Answer

Just plug -3 in for z:

4(-3)-3
-12-3 = -15

-3+6=3

anonymous · Answer

@Sushi121212

anonymous · Answer

so the answer is 3? :/

sushi121212 · Answer

For z+6, the answer will be 3 because you plug in -3:

z+6= -3+6, which is like 6-3, so the answer is 3.

anonymous · Answer

umm i need the answer for the whole equation

sushi121212 · Answer

What's the whole equation? Is 4z-3/z+6 a fraction?

anonymous · Answer

yes

sushi121212 · Answer

Okay:

1. 4z-3
   ____  (Plug in -3)  
     z+6

2.  4(-3)-3
    ______
       (-3)+6

3. -12-3
     ____
         3

4.  -15
       __
        3

5.    -5

-5 is your answer.

anonymous · Answer

@Sushi121212

anonymous · Answer

are you sure it's -5 cuz i got 1.5

sushi121212 · Answer

Could you show me what you did?

anonymous · Answer

yes

anonymous · Answer

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sushi121212 · Answer

For the 4*-3=1, you have to multiply 4 be -3 because there was a z there. 4 x -3 equals -12. Then, subtract  -12 by -3 and you get -15 because if you have 2 negatives, you add them and add a negative sign. The -3+6 is correct, but at the end, you get:

-15
___
  3

The fraction sign is also a division sign. You divide -15 by 3 and get -5.