WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!

24

Step-by-step explanation:

h(x) = x - 5, x < 0   This formula would be used for h(-30). Since -30 is less than 0.

h(x) = x - 5, x < 0 ← You can now ignore the x<0.

h(-30) = (-30) - 5      Input the -30 as x.

h(-30) = - 5         Simplify

h(-30) = -15 - 5          Simplify further

h(-30) = -20

Next

h(x) = x - 2, x < 0   This formula would be used for h(30). Since 30 is greater than 0.

h(x) = x - 2, x ≥ 0  ← You can ignore the x≥0.

h(30) = (30) - 2         Input the 30 as x.

h(30) = - 2              Simplify

h(30) = 6 - 2               Simplify further

h(30) = 4

Finally the problem is asking for h(30) - h(-30) = ?

h(30) - h(-30)    

(4) - (-20)   Substitute the value of h(30) and the value of h(-30).

4 + 20       You distribute the - sign into the parentheses. A negative times a

24             negative is a positive. That is how the equation had become 4 + 20 towards the end. Which is equal to 24.

So the answer is 24.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.