Xavier is building a triangular fence. The length of the second side will be 1 foot longer than the length of the first side. The length of the third side will be 1 foot longer than the length of the second side. The total perimeter of the triangle will be 63 feet. What will the length of the third side be? 20 feet 21 feet - \( 20 \frac{1}{3} \) feet 22 feet

\begin{tabular}{l} 16. \( y<2 x+1 \) \\ \( y \leq-x-4 \) \\ \hline \\ \hline\end{tabular}

An online furniture store sells chairs for \( \$ 150 \) each and tables for \( \$ 350 \) each. Every day, the store can ship a maximum of 34 pieces of furniture and must sell no less than \( \$ 6100 \) worth of chairs and tables. If 2 tables were sold, determine the minimum number of chairs that the store must sell in order to meet the requirements.

a) \( \frac{2}{5} x-\frac{1}{4}-\frac{1}{2} x=\frac{3}{5}+\frac{3}{10} x-\frac{3}{2} \)

\( \left(3 x^{2}+7 x\right)^{2}-4\left(3 x^{2}+7 x\right)-12 \) Factorise the following polynomial expression completely with the aid of the fac theorem: \( f(x)=x^{3}-2 x^{2}-5 x+6 \) Solve for \( x \) by completing the square:

Solve for \( x: \) \( \begin{array}{l}2.2 .1 \quad 2^{x}+5=3.2^{1-x} \\ 2.2 .2 \quad \sqrt[x]{9}=243\end{array} \)