Evaluate the following expression: log2 16 HELPPPPP again
1 answer:
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Answer:
a) The maximum height is approx 15.5 unit.
b) The time it will take for Joey to reach the water is 1.45 hour.
Step-by-step explanation:
Given : When Joey dives off a diving board, the equation of his pathway can be modeled by
To find : a) Find Joey's maximum height.
b) Find the time it will take for Joey to reach the water.
Solution :
Modeled ....(1)
a) To find maximum height
Derivate (1) w.r.t. t,
For critical point put h'=0,
Derivate again w.r.t. t,
It is maximum at t=0.46875.
Substitute t in equation (1),
The maximum height is approx 15.5 unit.
b) To find the time it will take for Joey to reach the water.
Put h=0 in equation (1),
Apply quadratic formula,
Here, a=-16 , b=15, c=12
Reject negative value.
The time is t=1.45.
The time it will take for Joey to reach the water is 1.45 hour.
<h2>Answer:</h2>
Option: C is the correct answer.
The equation of the Blue graph is:
C.
We are given a graph of a parent function F(x) as:
We know that the function G(x) is nothing but a translation transformation of the parent function by some units to the left.
Also we know that the transformation k units to the left or right is denoted by:
F(x) → F(x+k)
if k>0 then the shift is k units to the left.
and if k<0 then the shift is k units to the right.
Here we have k= 3 and shift is to the left.
Hence, the equation of translated function is:
G(x)=F(x+3)
i.e.