A "super ball" dropped from a height of x feet bounces to a height y that is 80% of x.

Question

Can anyone please teach me how to find its numerical, algebraic, and graphical representations? Thanks a lot!!!

Answer 1

After n bounces, y(n) = X(0)*0.8^n
where X(0) is the initial height from which it is dropped

Since they don't tell you what X(0) is, you could make a graph of y/X(0) vs n.

Answer 2

can you please tell me the differences and examples of the numerical,algebraic, and graphical representations?

Answer 3

Numerical could be a table of n and y(n)/X(0) values
Algebraic could be the formula y(n)/X(0) = (0.8)^n
Graphical could be a graph of y(n)/X(0) vs n

Answer 4

2cos*2x-cosx=1 find all solutions to the equation on the domain [0,2ð]

i got ð/4, 7ð/4, 3ð/4, and 5ð/4 but only got two out of four points... what did i do wrong?