Answer: is the required expression.
Step-by-step explanation:
Since we have given that
Length of tree initially = 36 inches
Length of tree after one year = 43 inches
We need to find the percentage of increase in the tree's height.
So, expression would be
Hence, is the required expression.
maximum height. Round your answers to the nearest tenth.
Answer:
232.6 metres after 3.8 seconds.
Step-by-step explanation:
h(t) = -16t² + 122t
a = -16 b = 122 c = 0
Substitute into the quadratic formula
(Ignore the Â)
Split the equation at the ±
The two x-intercepts at 0 and 61/8. The midpoint of the x-intercepts is the axis of symmetry, which is the x-coordinate of the vertex.
Midpoint = [0 + (61/8)] / 2
Midpoint = 61/16 <= This is the time for maximum height
t = 61/16
t = 3.8125 => Round to t = 3.8
To find the maximum height, substitute t=61/16 into the equation
h(t) = -16t² + 122t
h(61/16) = -16(61/16)² + 122(61/16)
h(61/16) = 232.5625 => Round to h = 232.6
Therefore, the ball will reach the maximum height of 232.6 metres after 3.8 seconds.