-3(y+2)^2 - 5 + 6y
= -3(y^2 + 4y + 4) - 5 + 6y
= -3y^2 - 12y - 12 - 5 + 6y
= -y^2 - 6y - 17
Answer
(-1) y^2 + (-6) y + (-17)
Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.
D. 35, since that would be the longest amount. of time walking away from her house, she should be the farthest amount of feet away from her house
