Answer:
36
Step-by-step explanation:
The maximum height is the y-coordinate of the vertex
given a quadratic in standard form : ax² + bx + c : a ≠ 0
then the x-coordinate of the vertex is
= - 
y = - x² + 20x - 64 is in standard form
with a = - 1, b = 20 and c = - 64, hence
= - 
= 10
substitute x = 10 into the equation for y
y = - (10)² + 20(10) - 64 = 36 ← max height
Answer: 3sqrt6
Step-by-step explanation:
Step-by-step explanation:
SO, OT is parallel to the vector a+2b
You add eight three times (8+8+8=24)
We have that the data have a high point at the start (4). Then, it drops to a lowest point (3) and then it increases again. Hence, an exponential fit is a bad idea; exponential functions are always increasing. The same applies to square root functions, they are always decreasing or increasing and they do not have up and downs.
A quadratic function is the most appropriate function to model the data. While it is true that also cubic functions can act like this, the simplest choice is quadratic functions; they have a lowest dip and then they increase on either side of the dip, just like the data.
The correct answer is d.
