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A treeofheight y meters has on average B branches where B equals y-1 Each branchhas on average n leaves where n equals 2Bsquared-B. Find the average number of leaves of a tree as a functionofheight?
Wiki User
∙ 13y ago
n= 2B2-B
B= y-1
Substitute.
n=2(y-1)2-(y-1)
Foil (y-1)2.
n=2(y2-2y+1)-(y-1)
Distribute the 2.
n=2y2-4y+2-(y-1)
Distribute the negative.
n=2y2-4y+2-y+1
Combine like terms.
n=2y2-5y+3
Final answer:
n=2y2-5y+3
Wiki User
∙ 13y ago
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