6) On a map, 1 inch equals 5.2 miles. Two houses are 7.8 inches apart on the map. What is the actual distance between the houses?

Find the product of the following two matrices. \[ \left[\begin{array}{ll}1 & 0 \\ 0 & 3\end{array}\right]\left[\begin{array}{cc}1 & -1 \\ 1 & 1\end{array}\right] \]

Exercice 2: Développer pul \( B=(4 x+2)(2 x+1) \)

Find the product of the following two matrices. \[ \left[\begin{array}{cc}-2 & 2 \\ 1 & 1\end{array}\right]\left[\begin{array}{cc}-2 & 4 \\ -1 & 1\end{array}\right] \]

a) \( 3(x-6)=2(5-2 x) \)

Let \( f(x)=\frac{x}{\ln x} \) for \( x>1 \). (a) Derive expressions for \( f^{\prime}(x) \) and \( f^{\prime \prime}(x) \), simplifying your answers. (b) Obtain the coordinates and nature of the stationary point of the curve \( y=f(x) \). (c) Obtain the coordinates of the point of inflexion.