\( \left. \begin{array} { l } { 14 . f ( x ) = - 2 x ^ { 2 } + 4 x + 3 } \\ { x } \\ \hline - 2 \\ { - 1 } \\ { - 1 } \\ { 0 } \\ { 1 } \\ { 2 } \end{array} \right. | \)

Two stores sell the samo television for the same original price. Store A advertises that the television is on sale for \( 30 \% \) off the original price. Store B advertises that it is reducing the television's price by \( \$ 250 \). When Allison compares the sale pricos of the television in both stores, she concludes that the sale prices are equal. Let p represent the telovision's original price. Which equation models this situation?

(a) \( 15^{\circ} \) If the straight line \( y=k x+1 \) is parallel to the straight line \( 2 y-x=5 \), then \( k= \) \( \begin{array}{llll}\text { (a) } 1 & \text { (b) } \frac{1}{2} & \text { (c) } 2 & \text { (d) }-2\end{array} \)

9) Fred has 147 orange balloons and 44 black balloons. Fred has 21 times more orange balloons than Tom. How many orange balloons does Tom have?

Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes of equal weight. Drew lifted 14 boxes, but Drew's boxes of equal weight, but Drew's boxes each weighed 8 lb less than Nathan's boxes. Together, they lifted a total of 233 pounds. What was the weight of one of Marco's boxes?

Rationalize the denominator and simplify \( \frac{\sqrt{14}-\sqrt{3}}{2 \sqrt{7}-\sqrt{6}} \)