Answer:
Step-by-step explanation:
We have the following system
![\left[\begin{matrix} 4 & -2 \\ 2 & 1 \end{matrix}\right]x =\left[\begin{matrix} 8 \\ 2 \end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Bmatrix%7D%204%20%26%20-2%20%5C%5C%202%20%26%201%20%5Cend%7Bmatrix%7D%5Cright%5Dx%20%3D%5Cleft%5B%5Cbegin%7Bmatrix%7D%208%20%5C%5C%202%20%5Cend%7Bmatrix%7D%5Cright%5D)
The number of solutions depend on the determinant of the matrix of the system. If the determinant is different from 0, then it has one unique solution, if it 0 then it has infinite solutions.
Note that the determinant of a matrix
![\left[\begin{matrix} a & b \\ c & d \end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Bmatrix%7D%20a%20%26%20b%20%5C%5C%20c%20%26%20d%20%5Cend%7Bmatrix%7D%5Cright%5D)
is ad-bc. So in our case we have 4*1-(-2)*2 = 8 which is not 0. Then the system has an unique solution.
Answer:
Option "A" is correct
Step-by-step explanation:
P(A) probability of event A is true
P(B) probability of event B is true
P(AB) probability of event AB is true
P(BA) probability of event BA is true
P(AB)= (BA) × (A)/(B)
Answer:
2x
Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
If V = 4πx³ and h = x, then:
4πx³ = πr²x
4x² = r²
r = 2x
Answer:
0.36363.....
repeating
Step-by-step explanation:
given :
total songs downloaded = 44
total favorite band songs = 16
number of favorite songs out of total songs downloaded
= total favorite band songs ÷ total songs downloaded
= 16 ÷ 44
= 0.3636363636363636363... (answer for part A)
by observation, we can see that the decimals 36 repeats over and over again and never stops. Hence we can say that the decimal is repeating (Answer for part B)
