Answer:
FORMULA USED-
NUMBER OF SUBSETS OF A SET WITH n ELEMENTS= 2^n
Here our set is { onions, garlic, carrots, brocoli, shrimp, mushrooms, zucchini, green pepper}
Different variations available for ordering pasta with tomato sauce= 28 = 256 ( As here n= 8)
Answer:
The answer is below
Step-by-step explanation:
The next step to solve the system, would be to divide the second row by 3 and we would be left with: 3 * R2
[1 -5 3 0 -2
0 1 -7/3 0 4/3
0 0 1 2 -2]
Then what we will do is multiply row 3 by 7/3 and then subtract it from row 2, that is, R2 - 7/3 * R3, and it would look like this:
[1 -5 3 0 -2
0 1 0 14/3 -10/3
0 0 1 2 -2]
And these would be the next two steps in the process of solving the system.
y = -2/3x + 5
this is the slope intercept. -2/3 is the slope and 5 is where it intercepts the y axis.
hope this helps
Answer:

Step-by-step explanation:
Given points are 
And given transformation is

We will start from left to right.
First transformation is reflection about x-axis.
When we reflect about x-axis 
So, ![(-1,-8)=[-1,-(-8)]=(-1,8)](https://tex.z-dn.net/?f=%28-1%2C-8%29%3D%5B-1%2C-%28-8%29%5D%3D%28-1%2C8%29)
Now next transformation is dilation with a factor 4.
If we do dilation with a factor
to the point 
New co-ordinates after dilation became 
So, 