Translate the sentence into an equation. The sum of 4 times a number and 7 is 5 . Use the variable \( w \) for the unknown number.

A line passes through point \( (8,6) \) and has a slope of \( \frac{5}{2} \) Write an equation in \( A x+B y=C \) form for this line. Use integers for \( A, B \), and \( C \).

\begin{tabular}{l} Determine the number and type of solutions of the \\ quadratic equation. \\ \( 4 x^{2}-3 x+1=0 \) \\ two imaginary solutions \\ one imaginary solution \\ two real solutions \\ one real solution \\ \hline\end{tabular}

\( f ^ { \prime } ( x ) = \frac { x ^ { 2 } - 4 x + 3 } { ( x - 2 ) ^ { 2 } } \)

\( \left. \begin{array} { c } { 1 } \\ { h ( x ) = x ^ { 2 } } \end{array} \right. \)

Find the value of \( k \) that makes \( f(x) \) continuous at \( x=-3 \) \[ f(x)=\left\{\begin{array}{ll}\frac{x+3}{2 x^{2}-18} & \text { if } x \neq \\ k & \text { if } x=-\end{array}\right. \] \( k= \)