3. Mrs. Lotz and Mr. Retallack are having a cookie bake off. They both went to Safeway to buy M \& and chocolate chips to mix in their cookies. The bags of \( M \) \& M's cost \( \$ 4.00 \) each and the bags of chocd chips cost \( \$ 3.50 \) each. If they bought a total of 9 bags and spent a total of \( \$ 33.50 \), how many of each bag they buy? Let \( x \) represent the number of bags of M \& M's and let \( y \) represent the number of bags of chocolate chips Part A: Write a system of equations to represent the problem. Part B: Solve the system using elimination. (calculator active) Part C: Describe the meaning of your solution.

Given that \( z=1+i \sqrt{3} \) uxpress \( z^{4} \) in the form \( r(\cos \theta+i \sin \theta) \) whore \( r>0 \) and \( -\pi<\theta \leq \pi \)

Which of the following reaction conditions are most favorable for the SN2 type? \begin{tabular}{l} a) Weak nucleophile, tertiary alkyl halide \\ b) Strong nucleophile, primary alkyl halide \\ c) Weak nucleophile, primary alkyl halide \\ d) Strong nucleophile, tertiary alkyl halide \\ \hline\end{tabular}

Let \( R: P_{2} \rightarrow R^{2} \) be the linear Tansformation defined by \( \left.T\left(a t^{2}+b t\right)+c\right)=(a, b) \) (a). Find a basis for kerT. (b). Find a rnage for range \( T \).

Vereenvoudig de breuken. a \( \frac{x^{2}-x-2}{2 x^{2}-5 x+2} \) b \( \frac{2 x^{2}-3 x-5}{4 x^{2}-20 x+25} \)

коробке лежат 7 синих, 8 жёлтых и 16 зелёных карандашей. Какое аибольшее количество красных карандашей можно добавить в коробку, чтоє реди любых 30 выбранных были карандаши по крайней мере трёх различны ветов?