Answer:
C
Step-by-step explanation:
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
Answer:
b = 4 inches, c = ~5.66 inches
Step-by-step explanation:
The triangle is isosceles so b is equal to the adjacent side. Use the Pythagorean theorem to find c.
Answer:
-18
Step-by-step explanation:
-3x + x³
-3(-3) + (-3)³
9 + (-27)
9 - 27 = -18