Answer:
x = 1
Step-by-step explanation:
given h(x) = 3x + 1 and h(x) = 4 , then equating
3x + 1 = 4 ( subtract 1 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Okay, so have 3 boys for every 4 girls
so nr of biys: 200:4*3=150
and the total than is
200+150=350
Answer:
Step-by-step explanation:
Given matrix A is 2x2
A-kI =0 gives
![\left[\begin{array}{ccc}2-k&1\\-1&2-k\end{array}\right] =0\\\\(2-k)^2+1=0\\2-k=i,-i\\k =2-i, 2+i](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2-k%261%5C%5C-1%262-k%5Cend%7Barray%7D%5Cright%5D%20%3D0%5C%5C%5C%5C%282-k%29%5E2%2B1%3D0%5C%5C2-k%3Di%2C-i%5C%5Ck%20%3D2-i%2C%202%2Bi)
Eigen values are 2-i, 2+i
a) k =2-i
![\left[\begin{array}{ccc}i&1\\-1&i\end{array}\right] =0\\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%261%5C%5C-1%26i%5Cend%7Barray%7D%5Cright%5D%20%3D0%5C%5C)
i.e. x1=ix2
OR Eigen vector is (i,1)
b) k =2+i
![\left[\begin{array}{ccc}-i&1\\-1&-i\end{array}\right] =0\\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-i%261%5C%5C-1%26-i%5Cend%7Barray%7D%5Cright%5D%20%3D0%5C%5C)
i.e. x1=-ix2
OR Eigen vector is (-i,1)
Answer:
![(xy)z = xyz](https://tex.z-dn.net/?f=%28xy%29z%20%3D%20xyz)
Step-by-step explanation:
Given
![(xy)z](https://tex.z-dn.net/?f=%28xy%29z)
Required
Equivalent expression
No option is given. So, I will solve generally.
To solve this question, we simply open the bracket.
So:
![(xy)z = xyz](https://tex.z-dn.net/?f=%28xy%29z%20%3D%20xyz)