1. The function

is a parabola of the form

. The the formula for the axis of symmetry of a parabola is

. We can infer from our function that

and

, so lets replace those values in our formula:





We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:



or


or

From our previous point we know that the ball reaches its maximum time at

, which means that <span>
it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>
Answer:
Step-by-step explanation:
d(x)=√((x-2)2+(y-0)²)
=√((x-2)²+y²)
=√((x-2)²+(x-1)²)
=√(x²-4x+4+x²-2x+1)
=√(2x²-6x+5)
D=d²(x)=2x²-6x+5

Answer:
They are not parallel because their slopes are not equal
Step-by-step explanation:
Answer:
is your average rate of change,
Step-by-step explanation:
average rate of change is
, by slope formula
simplify this to get
, which is the definition of the derivative as h goes to 0

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

simplifying
(your average rate of change)
i think the answer is 4/11 because the 4 people has a 1% chance out of the 11 people