The three consecutive integers are 127, 128, 129
For this case we have the following expression:
h (t) = - 16t ^ 2 + 122t + 10
We look for the maximum of the function, for this, we derive:
h '(t) = - 32t + 122
We match zero:
-32t + 122 = 0
We cleared t:
t = 122/32
t = 3.8125 s
Then, the maximum height will be:
h (3.8125) = - 16 * (3.2185) ^ 2 + 122 * (3.2185) +10
h (3.8125) = 236.92 feet
Answer:
It takes the boulder to reach maximum height about:
t = 3.8125 s
the boulders maximum height is:
236.92 feet
Answer: The required fraction = 
Step-by-step explanation:
Let the required fraction = 
Given: Initial height = 192 inches
Height of ball after second bounce = 
Height of ball after third bounce = 
After the third bounce it is 3 inches off the ground.
So,
Hence, The required fraction =
Answer:
{-3, 3}
Step-by-step explanation:
x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0. Letting each factor equal zero separately and solving for x, we get x: {-3, 3}
Complementary angles add up to 90.
First angle:x
Second angle:3x
x+3x=90
4x=90
x=22.5
The first angle is 22.5 degrees and the complement is 67.5
