Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is
Where 
is the initial height, 
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:
So the equation is:
The ball hits the ground when when 
So
We use the quadratic formula to solve the equation for t
For a quadratic equation of the form
The quadratic formula is:
In this case
Therefore
We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
Answer:
1. There non-linear.
2. They can either be exponential decay or growth
3. They are functions :P
(5x - 2)²
Step-by-step explanation:
25x² - 20 + 4
(5x - 2)(5x - 2)
(5x - 2)²
Since it takes her 2 1/2 miles to get to the aquarium from her hotel, you need to subtract the various distances from this value in order to find how long it took Clara to walk the rest of the way to the aquarium.
2 1/2 - (1/4+1 3/4)= 2 1/2 - 2= 1/2
Clara must walk 1/2 a mile to get the rest of the way to the aquarium.
