Suppose that \( A \) and \( B \) are two \( n \) by \( n \) matrices satisfying the relation \( (A-B)(B+A)=A^{2}-B^{2} \). Which of the following statement is correct? \( A B-B A=0 \), where \( O \) is the \( n \) by \( n \) zero matrix None of the given options \( A B=I_{n} \), where \( I_{n} \) is the \( n \) by \( n \) identity matrix \( A \) and \( B \) are identical matrices

Solve the quadratic equations below. (a) \( x^{2}-27=0 \)

Linear Application The function \( E(t)=3848-77.1 t \) gives the surface elevation (in feet above sea level) of Lake Powell \( t \) years after 1999. Interpret the Slope in this situation. The surface elevation of Lake Powell is Select an answer \( \vee \) at a rate of

(c) \( 3 x^{2}-x=x^{2}-5 x+6 \)

(c) \( 3 x^{2}-x=x^{2}-5 x+6 \)

Solve the system by graphing each equation and finding the point of intersection. \( \begin{array}{l}y=\frac{-12}{x+4}+3 \\ y-14=(x+6)^{2} \\ x= \\ y=\end{array} \)