33. Every package of a certain toy also includes 2 batteries. a) Are the number of toys and number of batteries in a proportional relationship? If so, what are the two constants of proportionality? If not. explain your reasoning.

5) \( \sin 305^{\circ} \cos 10^{\circ}+\cos 305^{\circ} \sin 10^{\circ} \)

To factor a four-term polynomial by grouping when the first two terms do not have a common factor, what should be the first step? A. Simplify two terms in the polynomial by adding or subtracting. B. Rearrange the order of the terms so that the first two terms have a common factor. C. Factor the greatest common factor out of the second two terms. D. Factor -1 out of the first two terms.

3. \( y=\frac{1}{4} x^{4}-\frac{1}{3} x^{3}+2 x^{2} \)

Fast food places sometimes advertise that you can buy some number of a particular set of items for a fixed price. The most elaborate one that I can remember was when Arby's offered 5 for \( \$ 5 \) (later \( \$ 5.95, \$ 6.95 \ldots \), It varied how many items were part of the deal, but at the peak, there were 9 options. (I don't recall what they were, but probably something like: soda, curly fries, beef melt, ham melt, turnover, shake, chicken sandwich, mozzarella sticks, potato cakes) 1. How many options are there to order 5 items from 9 choices? Assume that we cannot duplicate any option and that the order is important.

\( \left. \begin{array} { l } { \frac { 1 } { \pi } 28 \cdot h ( x ) = \frac { 3 } { x - 5 } } \\ { f ( x ) = \quad g ( x ) = } \end{array} \right. \)