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:
Rational!
Step-by-step explanation:
The decimal is terminating so this is rational.
Answer:
maximum height of the arrow will be 408 m
Step-by-step explanation:
We have given the function of height as 
We know that first derivative of height will be velocity
So first derivative of height


We know that at maximum height velocity will be zero

t = 5 sec
Sp arrow will be at maximum height at t = 5 sec
So height at t = 5 sec will be

So maximum height of the arrow will be 408 m
The answer is D. 12+5=17 and 5*12+5=65.
This equation is correct because adult tickets cost five dollars (5 per adult) and childrens tickets cost one dollar (one per child), which need to be added together to get the total.
Answer: a=1.16 and b=0.12
Step-by-step explanation:
We know that the residual value= given - predicted
For x=3
The given value =1.1
The residual value=-0.06
Thus
The predicted value (a)= given- residual

For x=4
The given value =3.1
The predicted value = 2.98
Thus
The residual value (b) = given - predicted
