SOLUTION: I am having a lot of trouble with this problem: Suppose f = t-s/(s/(n−2)) and p = t-s/t, Express f as a function of p and n. I know that i can turn p into p = 1 - s/t but do n

Algebra ->  Expressions -> SOLUTION: I am having a lot of trouble with this problem: Suppose f = t-s/(s/(n−2)) and p = t-s/t, Express f as a function of p and n. I know that i can turn p into p = 1 - s/t but do n      Log On


   

Question 1180549: I am having a lot of trouble with this problem: Suppose f = t-s/(s/(n−2)) and
p = t-s/t, Express f as a function of p and n.
I know that i can turn p into p = 1 - s/t but do not know where to go from there.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

not sure if you have f+=+t-s%2F%28s%2F%28n-2%29%29+ orf+=+%28t-s%29%2F%28s%2F%28n-2%29%29+, and p+=+t-s%2Ft or p+=+%28t-s%29%2Ft

assuming you have
f+=+%28t-s%29%2F%28s%2F%28n-2%29%29+
and
p+=+%28t-s%29%2Ft

then
p+=+%28t-s%29%2Ft

f+=+%28t-s%29%2F%28s%2F%28n-2%29%29+

to express f as a function of p and n, first solve p+=+%28t-s%29%2Ft for s

p%2At+=+t-s
s+=+t-p%2At


substitute in f+=+%28t-s%29%2F%28s%2F%28n-2%29%29+

f+=+%28t-%28t-p%2At%29%29%2F%28%28t-p%2At%29%2F%28n-2%29%29+

f+=+%28t-t%2Bp%2At%29%2F%28%28t%281-p%29%29%2F%28n-2%29%29+

f+=+%28p%2Across%28t%29%29%2F%28%28cross%28t%29%281-p%29%29%2F%28n-2%29%29+

f+=+p%2F%28%281-p%29%2F%28n-2%29%29+

f+=+%28p%28n-2%29%29%2F%281-p%29+