Answer: 132
Step-by-step explanation:
Answer:
See attached for a graph
Step-by-step explanation:
We're going to plot sea level as y=0 and a depth of 8 meters as y=-8.
The problem statement tells you the initial point (x=0) is at normal ocean depth (y=-8), so the first point you put into your sine tool is ...
(x, y) = (0, -8)
The buoy takes 16 seconds to go from a high point to a low point, so the time to the first high point is half that, or x=8 seconds. That high point is 5 meters above its average depth, so is at y=-3.
The second point you will put into your sine tool is ...
(x, y) = (8, -3)
Answer:
- increasing: (-∞, 0)
- decreasing: (0, ∞)
Step-by-step explanation:
The function goes up to the right until it gets to the vertex at x=0. Then it goes down to the right. That is, it is ...
increasing from -∞ to 0 (not including 0)
decreasing from 0 to +∞ (not including 0)
_____
At x=0, the function is neither increasing nor decreasing, so x=0 is not part of either interval.
Answer:
1.function 1 has a greater rate of change than function 2
3. Function 1 has a greater y-intercept than function 2
Step-by-step explanation:
Using the table we can find the slope using
m = (y2-y1)/ (x2-x1)
m = (29-5)/ (8-0)
= 24/8
= 3
The rate of change for the table is 3
The y intercept is (0,5)
Using the graph (0,-1) and (2,0)
m = (y2-y1)/ (x2-x1)
m = (0--1)/ (2-0)
= (0+1)/2
= 1/2
The y intercept is (0,-1)
Since 3>1/2 , function 1 has a greater rate of change than function 2
Since 5>-1, function 1 has a greater y-intercept than function 2
Answer:
0.45, 4, 2, 1.5
Step-by-step explanation:
14/3 = 4.66667
Numbers less than 14/3 are 0.45, 4, 2, 1.5.
