\( \frac { 1 } { a ^ { 2 } - a - 30 } + \frac { 2 } { a ^ { a } + a - 42 } \)

Solve the system by graphing each equation and finding the point of intersection. \( \begin{array}{l}y=\frac{-12}{x+4}+3 \\ y-14=(x+6)^{2} \\ x= \\ y=\end{array} \)

(c) \( 3 x^{2}-x=x^{2}-5 x+6 \)

Students stuff envelopes for extra money. Their initial cost to obtain the information for the job was \( \$ 420 \). Each envelope costs \( \$ 0.03 \) and they get paid \( \$ 0.06 \) per envelope stuffed. Let \( x \) represent the number of envelopes stuffed. (a) Express the cost \( C \) as a function of \( x \). (b) Express the revenue \( R \) as a function of \( x \). (c) Determine analytically the value of \( x \) for which revenue equals cost. (a) \( C(x)=\square \) (C in dollars) (b) \( R(x)=\square \) ( \( R \) in dollars) (c) Revenue equals cost when \( x=\square \)

1.) \( \frac{x^{3}-3 x^{2}-4 x+12}{x-3} \) 2.) \( \frac{x^{3}-2 x^{2}+7 x-1}{x^{2}+2} \)

(c) \( 3 x^{2}-x=x^{2}-5 x+6 \)