Answer:
C = -80
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Answer: β ≠ ±1
Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,
det
≠ 0
Determinant of a 3x3 matrix is calculated by:
det ![\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cbeta%261-%5Cbeta%5C%5C2%262%260%5C%5C2-2%5Cbeta%264%260%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cbeta%5C%5C2%262%5C%5C2-2%5Cbeta%264%5Cend%7Barray%7D%5Cright%5D)
![8(1-\beta)-[2(2-2\beta)(1-\beta)]](https://tex.z-dn.net/?f=8%281-%5Cbeta%29-%5B2%282-2%5Cbeta%29%281-%5Cbeta%29%5D)




β ≠ ±1
For the system to have only one solution, β ≠ 1 or β ≠ -1.
Let's put it into numbers:
Ruba: 1 000 000
Zamba: 100 000 000 000
Zamba has many more aliens than Ruba!!!
it has 100 000 000 000/1 000 000 =100 000 times more aliens,
in absolute numbers: 100 000 000 000 - 1000 000 = =99 999 900 000
100 000 000 000
- 100 000
=99 999 900 000
Answer:
is a subset of 
Step-by-step explanation:
Required
Difference between subset and proper subset
To answer this question, I will use the following illustration.



In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.
Set C is a subset of A because 
Using the above illustration, we have:
and 
is a subset of
, because 5 and 8 are in
but 2 which ca be found in
is not in 