Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function 
:
Amplitude: 
Period: 
Phase shift: 
Vertical shift: 
Therefore, for 
:
Amplitude: 
, which is 2 units above and below the midline (see d)
Period: 
, so the cycle will repeat every 3π units
Phase shift: 
, or π units to the left
Vertical shift: 
, or 1 unit down
It hits the ground at h=0
0=-16t^2-16t+96
undistribute -16
0=-16(t^2+t-6)
factor
0=-16(t-2)(t+3)
set to zero
0=t-2
2=t
t+3=0
t=-3, nope, we can't have negative time
at t=2, or 2 seconds
Float
because the water weighs more so it will hold it.
Answer:
Option (3)
Step-by-step explanation:
Given functions are,
f(x) = 
g(x) = log(2x)
By using a graphing utility we can draw the graphs of the given system of equations.
Common points of the graph will be the solutions of the equations,
From the graph attached,
Solution of the functions is → (0.937, 0.273)
→ (0.9, 0.3)
Option (3) will be the answer.
Answer:
-1/8 > x
Step-by-step explanation:
Rewrite the equation to -1 > 8x, so -1/8 > x
Dot -1/8 on the number line, and everything on the left of that point( if right is positive ) is x .
