Evaluate the expression for r=-3 and s=5

3r/2-^2

1 answer

To evaluate the expression 3r/2-^2 when r=-3 and s=5, we substitute -3 for r:

3(-3)/2-^2 = -9/2-^2

Now, we need to evaluate -9/2. Dividing -9 by 2, we get -4 with a remainder of -1. So -9/2 = -4-1/2.

Therefore, the expression becomes:

-4-1/2-^2

Now let's evaluate ^2:

-4-1/2-^2 = -4-1/2-1/4

To perform the subtraction, we need a common denominator, which is 4. So we can rewrite -1/2 as -2/4:

-4-2/4-1/4

Combining the numerators:

= -6/4 - 1/4

Now, we can subtract:

= -7/4