Given that \( y \) is inversely proportional to \( x \), and that \( y=4 \) when \( x=6 \), (a) find an expression for \( y \) in terms of \( x \),

4) Which of the following represents the correct factorization of \( x^{2}+7 x+10 \) ? A. \( (x+5)(x+2) \) B. \( (x+10)(x+1) \) C. \( (x+6)(x+5) \) D. \( (x+7)(x+3) \)

\begin{tabular}{|l|l}\hline Q. 2 & Attempt all parts from the followi \\ i. & \( \frac{(81)^{n} \cdot 3^{5}-(3)^{4 n-1}(243)}{(9)^{2 n}\left(3^{3}\right)} \) \\ \hline\end{tabular}

b) \( \begin{array}{l}\frac{x}{3}-\frac{y}{2}=\frac{5}{6} \\ 3 x-\frac{2}{5} y=3 \frac{2}{5}\end{array} \)

6) Solve for \( x: \) \( 5 x-3=2 x+12 \) A. \( x=5 \) B. \( x=3 \) C. \( x=4 \) D. \( x=6 \)

4. \( \left(6 x^{4}+8 x^{3}+5-2 x\right)+\left(3 x^{2}-7 x^{3}+8 x\right)= \)