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:
Given



Required
The probability of selecting 2 same colors when the first is not replaced
The total number of ball is:


This is calculated as:

So, we have:

<em>Note that: 1 is subtracted because it is a probability without replacement</em>






Answer:

Step-by-step explanation:
we know that
The "power rule" tells us that to raise a power to a power, just multiply the exponents
so

we have

Applying the "power rule"

Answer:
yes
Step-by-step explanation:
y=-16r^2+63r+4
maximum value of y :
y'=0
-32r +63=0
r= 63/32
y = -16(63/32)²+63(63/32)+4
= -4 + 124 + 4 = 124 ft
124 > 68
the Arrow can pass over the tree