Answer:
24
Step-by-step explanation:
h(x) = [tex]\frac{1}{2}[/tex]x - 5, x < 0 This formula would be used for h(-30). Since -30 is less than 0.
h(x) = [tex]\frac{1}{2}[/tex]x - 5, x < 0 ← You can now ignore the x<0.
h(-30) = [tex]\frac{1}{2}[/tex](-30) - 5 Input the -30 as x.
h(-30) = [tex]\frac{-30}{2}[/tex] - 5 Simplify
h(-30) = -15 - 5 Simplify further
h(-30) = -20
Next
h(x) = [tex]\frac{1}{5}[/tex]x - 2, x < 0 This formula would be used for h(30). Since 30 is greater than 0.
h(x) = [tex]\frac{1}{5}[/tex]x - 2, x ≥ 0 ← You can ignore the x≥0.
h(30) = [tex]\frac{1}{5}[/tex](30) - 2 Input the 30 as x.
h(30) = [tex]\frac{30}{5}[/tex] - 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.
