FORMULA ONE WORLD NEWS

can you help me with my math homework? (tenth grade) geometry?

h(t)= -16t^2 +112t
convert formula to vertex form and give:
domain, range, vertex, max/min, x-intercepts.

wow, so many questions in a question, I’ll try my best to go through one by one.

Converting to vertex form (using the formula from the reference) where a= -16, b=112, c=0 gives
h(t) = -16(x – 7/2) + 196

x-intersects: -16x^2 +112x = x( -16x + 112), So, x= 0 and x= 112/16 = 7.
domain: all possible real numbers.
max/min: a= -16 so the function is a maximum.
vertex: (7/2, 196).
range: [196, -infinity)

x= number of teams
The number of matches between each team is x choose 2
So, the formula to express the total number of sets f(x) = (x choose 2) * 5 = (x! * 5) / 2!(x – 2)!

For 140 sets,
f(x) = (x choose 2) * 5 = (x! * 5) / 2!(x – 2)! = 140
x choose 2 = 140/5 = 28
x = 8

gl

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