91Ó°ÊÓ

(a) determine the polynomial function whose graph passes through the points, and (b) sketch the graph of the polynomial function, showing the points. $$(1,1),(1.189,1.587),(1.316,2.080),(1.414,2.520)$$

Graph the system of linear equations. Solve the system and interpret your answer. $$\begin{array}{r}x+3 y=2 \\\\-x+2 y=3\end{array}$$

Find the solution set of the system of linear equations represented by the augmented matrix. $$ \left[\begin{array}{rrrr} 1 & -1 & 0 & 3 \\ 0 & 1 & -2 & 1 \\ 0 & 0 & 1 & -1 \end{array}\right] $$

Graph the system of linear equations. Solve the system and interpret your answer. $$\begin{array}{l}-x+y=1 \\\3 x-3 y=4\end{array}$$

Graph the system of linear equations. Solve the system and interpret your answer. $$\begin{aligned}\frac{1}{2} x-\frac{1}{3} y &=1 \\\\-2 x+\frac{4}{3} y &=-4\end{aligned}$$

Find the solution set of the system of linear equations represented by the augmented matrix. $$ \left[\begin{array}{cccr} 1 & 2 & 1 & 0 \\ 0 & 0 & 1 & -1 \\ 0 & 0 & 0 & 0 \end{array}\right] $$

Find an equation of the circle that passes through the points. $$(1,3),(-2,6),(4,2)$$

Find the solution set of the system of linear equations represented by the augmented matrix. $$ \left[\begin{array}{rrrr} 2 & 1 & -1 & 3 \\ 1 & -1 & 1 & 0 \\ 0 & 1 & 2 & 1 \end{array}\right] $$

Graph the system of linear equations. Solve the system and interpret your answer. $$\begin{aligned}&3 x-5 y=7\\\&2 x+y=9\end{aligned}$$

Graph the system of linear equations. Solve the system and interpret your answer. $$\begin{array}{l}-x+3 y=17 \\\4 x+3 y=7\end{array}$$