Answer:
The sine function is:
![y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B2%7D%7B3%7Dsin%5B3%5Cpi%20%28x-%5Cfrac%7B2%5Cpi%7D%7B3%7D%29%5D-2)
Step-by-step explanation:
We need to recall that a sine function can write as:
Where:
- A is the amplitude of the function
- B is the period
- C is the phase shift left
- D is the vertical shift
So we just need to use the listed attributes
Therefore, the sine function is:
![y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B2%7D%7B3%7Dsin%5B3%5Cpi%20%28x-%5Cfrac%7B2%5Cpi%7D%7B3%7D%29%5D-2)
I hope it helps you!
The vertices are the intersections between the lines.
1) line x + y = 5 and y = 3:
y = 3 => x + 3 = 5 => x = 5 - 3 => x = 2
=> vertix = (2,3)
2) line x + y = 5 and y = 0
=> y = 0 => x + 0 = 5 => x = 5
=> vertix = (5,0)
3) line x + y = 5 and x = 0
=> 0 + y = 5 => y = 5
=> (0,5) ------> this is not a vertix because it is above the line y = 3
4) line y = 3 and x-axis
=> vertix = (0,3)
5) x-axis and y-axis => origin => vertix = (0,0)
So, there are four vertices: (0,0), (5,0), (2,3) and (0,3)
Answer: That is the first option:(<span>0, 0), (0, 3), (2, 3), (5, 0)</span>
Answer:
(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)
Step-by-step explanation:
x+y<8. Let y=1, then x=(3, 4,5,6). If y=2, x=(3, 4,5).
Okay so first you would ask your self does 64 divide by 6? So take out your calculator and divided 64 by 6. Doing so you find out the answer is 10.6 (repeating)
So each storage container would get 10? No that doesn't sound right, instead you have to turn the repeating 6 into a fraction so it would be each storage container gets 10 2/3 of a dinosaur.