Assume that \( \operatorname{det}(A), \operatorname{det}(B) \) and \( \operatorname{det}(A+B) \) are all non zero values. Which of the followir statement(s) is/are correct? \( A(A+B) B^{-1}=A^{-1}+B^{-1} \) \( A^{-1}(A+B) B^{-1}-\left(A^{-1}+B^{-1}\right)=O \), where \( O \) is the zero matrix with zero entries everywhere. \( A(A+B) B\left(A^{-1}+B^{-1}\right)=I_{n} \), where \( I_{n} \) is the \( n \times n \) identity matrix. None of the given option \( A^{-1}(A+B) B^{-1}-\left(A^{-1}+B^{-1}\right)=I_{n} \) where \( I_{n} \) is the \( n \times n \) identity matrix.

OEFENING 7 Deur die positiewe waardes van die vertikale veranderings te beskou, bepaal watter een van die twee lyne is meer steil in elke geval? \( \begin{array}{ll}\text { (1) } y=\frac{1}{5} x ; y=\frac{2}{5} x & \text { (2) } v=-4\end{array} \)

Solve for \( g \). \[ 10 \leq 1-g \]

3. [-/1 Points] DETAILS MY NOTES TGEIALG6 4.1.061. Solve the system of equations by graphing. (If there is no solution, enter NO SOLUTION, If there are infinitely many solutions, enter INFINITELY MANY.) \[ \begin{array}{r}4 x-2 y=22 \\ y=2 x-11\end{array} \] \( (x, y)=(\square) \)

3. Let \( g(x)=x^{2}(x-2)^{3}(x+5) \). a) Find the multiplicity of the zero occurring at \( x=-5 \). b) Find the multiplicity of the zero occurring at \( x=0 \).

Solve the system of equations by graphing, (If there is no solution, enter NO sOLUTION, If there are infinitely many solutions, enter INFINITELY MANY.) \[ \begin{array}{l}y=2 x-6 \\ y=-5 x+1\end{array} \] \( (x, y)=(\square \)