Answer:
c
Step-by-step explanation:
The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.

Making perfect square:
![\rm h(t)= -[(4t)^2-72t+9^2 -9^2]](https://tex.z-dn.net/?f=%5Crm%20%20h%28t%29%3D%20-%5B%284t%29%5E2-72t%2B9%5E2%20-9%5E2%5D)
![\rm h(t)= -[(4t-9)^2 -81]](https://tex.z-dn.net/?f=%5Crm%20%20h%28t%29%3D%20-%5B%284t-9%29%5E2%20-81%5D)

The highest point will be when term (4t-9)² becomes zero
So the highest point = 81 feet, and it takes:
t = 9/4 seconds
Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ1
Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
Answer:
The population of the town is 0.983 times the population of the town in the previous year.
B is correct.
Step-by-step explanation:
We are given a function which represent population of a town after t years.

It is an exponential function. Exponential function wither decease or increase it depends on factor.

b is factor which decides factor of exponential function decrease or increase.
- If b >1 then function increase
- If 0<b<1 then function decrease.
If we see our problem
Here, b=0.983<1
Function would be decrease by factor of 0.983
Thus, The population of the town is 0.983 times the population of the town in the previous year.