The answer is (-7.5, -7.5)
Answer:
it is not a that all i know i am not a roket scientist in school LOL
Step-by-step explanation:
Part A:
Given that t<span>he
height of a batted ball is modeled by the function

,
where x is the horizontal distance in feet from the point of impact with
the bat, and h is the height of the ball in feet.
At maximum height,


Thus, the maximum height occurs when x = 61 feet and the maximum height is given by

Therefore, the maximum height is 40.21 feet.
</span>
Answer:
i dont know it srry
Step-by-step explanation:
Answer:
After 8 hour there will be 317.64 pounds of algae.
y-intercept: (0, 50)
Step-by-step explanation:
At time = 0 hours, there are 50 pounds of algae, after 3 hour there will be 100 pounds of algae, after 6 hour there will be 200 pounds of algae, and so on.
Exponential growth is modeled by the following equation:
y = x0*(1 + r)^t
where x0 is the amount of algae at the beginning, r is the rate of change, and y is the amount of algae after t hours. Replacing with data:
100 = 50*(1 + r)^3
2 = (1 + r)^3
ln(2) = 3*ln(1 + r)
r = exp(ln(2)/3) - 1
r = 0.26
This result can be checked as follows
y = 50*(1 + 0.26)^6 = 200
After 8 hours:
y = 50*(1 + 0.26)^8 = 317.64
The y-intercept corresponds to t = 0
y = 50*(1 + 0.26)^0 = 50