5) Sea una función lineal cuya gráfica pasa por los puntos \( (6,3) \) y \( (-2,-1) \). a) Determine la función b) ¿Cuál es el valor de \( f(-3) \) y de \( f(8) \) ? c) ¿Es creciente o decreciente?

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

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 \( x=\square \)

Rationalize the Denominator: \( \frac{7+\sqrt{5}}{2+\sqrt{5}} \)

Rationalize the Denominator: \( \frac{4+\sqrt{7}}{3+\sqrt{7}} \)

Solve the quadratic equations below. (a) \( x^{2}-27=0 \)