Answer:
h(x) ≤ 5
Step-by-step explanation:
The function and boundaries given are;
h(x) = x + 2, x < 3
And ;
h(x) = -x + 8, x ≥ 3
Now,in the first condition, the maximum value of x will be 2. This means the maximum value of h(x) there is;
h(2) = 2 + 2 = 4
For the second condition, x ≥ 3. Thus, the maximum value of x is 3.
This means that the maximum value of h(x) here is;
h(3) = -3 + 8 = 5
Foe the 2 conditions combined it is clear that the maximum value of h(x) is 5.
Thus,we can say; h(x) ≤ 5
Then for number 3 put a plot at 4 then one at negative2 and draw yor line
Answer:
31.5
Step-by-step explanation:
You have to break the shape up into a triangle and a rectangle
Area of a Triangle:
A=1/2(b)(h)
=1/2(7)(3)
=1/2(21)
=10.5
Area of Rectangle:
A= (b)(h)
=(7)(3)
=21
Area of Total Shape:
10.5 + 21
=31.5
