1.2 Rationalize the denominators in the following expression. (a) \( \frac{8}{\sqrt{2}} \) (b) \( \frac{4}{2+\sqrt{3}} \) (c) \( \frac{3 \sqrt{2}}{8-4 \sqrt{3}} \) (d) \( \frac{5-\sqrt{5}}{3+\sqrt{5}} \)

Gegee die funksie \( f(x)=3^{-x} \). 6.1 Gee die vergelyking van \( g \) indien \( g \) die refleksie van \( f \) in die \( y \)-as is en wat 3 eenhede afwaarts geskuif word. B.2 Bereken die \( x \)-afsnit van \( g \).

8. \( [5-68 . c] \quad \) Write the explicit rule and determine the 100 th term for the given sequence. \( \quad 24,19,14, \ldots \)

A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking for 4 hours?

The postal service of a country charges \( \$ 0.36 \) postage for a letter weighing up to 1 ounce, plus \( \$ 0.26 \) for each additional ounce up to 5 ounces. Letters weighing more than 5 ounces do not qualify for these rates. \( C(x)=\left\{\begin{array}{ll}\$ \square & \text { if } 0<x \leq 1 \\ \text { (a) Write a piecewise-defined function } C \text { for the postage charged for a letter weighing } x \text { ounces. } \\ \$ \square & \text { if } 3<x \leq 4 \\ \$ \square & \text { if } 4<x \leq 5\end{array}\right. \)

Consider the number pattern below: \[ \frac{-3}{5} ; \frac{-6}{9} ; \frac{-9}{13} ; \ldots . \ldots \] Determine the next two terms of the number pattern. Determine the \( n^{\text {th }} \) term of the number pattern.