Answer:
The system of inequalities is as follows:
30x + 20y ≥ 61,000
x ≤ 1500
x + y ≤ 2800
x ≥ 0
y ≥ 0
Step-by-step explanation:
The system of inequalities can be explained as follows:
30x + 20y ≥ 61,000 <= Indicating a take in of at least $61,000 in ticket sales.
x ≤ 1500 <= Indicating that 500 reserved seats are available.
x + y ≤ 2800 <= Indicating limit of the paid ticket holders to 2800.
x ≥ 0 <= Indicating ticket x must be equal or greater than 0.
y ≥ 0 <= Indicating ticket y must be equal or greater than 0.
Answer:
Linear non-linear
x<2 , x>5 2<x<5
Step-by-step explanation:
When a function is linear then the graph is a straight line
When the function is not linear then the graph is like a curve
From x = - infinity to 2 the graph is a straight line
So from - infinity to 2, the function is linear, that is x<2 function is linear
from 2 to 5 the graph is like a curve , so it is not linear
2<x<5 , the function is not linear
From x = 5 to infinity the graph is a straight line
So from 5 to infinity, the function is linear, that is x>5 function is linear
Here's the formula you need to use:
The volume of any cylinder is = (pi) x (radius)² x (height) .
Take that formula.
Write your "3 inches" in place of "radius".
Write your "12 inches" in place of "height".
Write "3.14" in place of "pi".
Do the arithmetic, and bada-bing, you'll have the volume.
We have that
3 = 3 + 0i -----------> rewrite as 3(1 + 0i)
<span>So now what we have to do is figure out which of the above expressions has cos a = 1 and sin a = 0. </span>
<span>cos 0 = 1, and sin 0 = 0, so that's the answer that we want.
</span><span>the answer is: </span>
3 = 3(cos 0 + i sin 0)