SOLUTION: Suppose f=(t-s)/[s/(n-2)] and p=(t-s)/s. Express f as a function of p and n. I have already found f=(n-2)/(t-1) by solving for s in the p equation and substituting it into the f e

Algebra ->  Expressions-with-variables -> SOLUTION: Suppose f=(t-s)/[s/(n-2)] and p=(t-s)/s. Express f as a function of p and n. I have already found f=(n-2)/(t-1) by solving for s in the p equation and substituting it into the f e      Log On


   

Question 1180564: Suppose f=(t-s)/[s/(n-2)] and p=(t-s)/s. Express f as a function of p and n.
I have already found f=(n-2)/(t-1) by solving for s in the p equation and substituting it into the f equations and then simplifying. I am confused as to how I solve f as a function of n
Found 3 solutions by MathLover1, Edwin McCravy, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f=%28t-s%29%2F%28s%2F%28n-2%29%29 and p=%28t-s%29%2Fs
Express f as a function of p and n.
first p=%28t-s%29%2Fs solve for s
ps=t-s
ps%2Bs=t
%28p%2B1%29s=t
s=t%2F%28p%2B1%29

now substitute in

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

f=%28t-t%2F%28p%2B1%29%29%2F%28%28t%2F%28p%2B1%29%29%2F%28n-2%29%29

f=%28%28pt%29%2F%28p+%2B+1%29%29%2F%28%28t%2F%28p%2B1%29%29%2F%28n-2%29%29........simplify


f=%28%28pt%29%2F%28p+%2B+1%29%29%2F%28%28t%28n-2%29%29%2F%28p%2B1%29%29........simplify




f=%28p%2F1%29%2F%28%28n-2%29%2F1%29

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



Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
There is an easier way by clearing fractions. She made an
error somewhere probably because she got bogged down with all 
the fractions.

f=%28t-s%5E%22%22%5E%22%22%29%2F%28s%2F%28n-2%29%29  Invert and multiply

f=%28t-s%29%28%28n-2%29%2Fs%29   Multiply both sides by s
fs=%28t-s%29%28n-2%29 
--------------------------------------------------
+p=%28t-s%29%2Fs   Multiply both sides by s
+ps=t-s
--------------------------------------------------
Substitute ps for (t-s) in

fs=%28t-s%29%28n-2%29 
fs=ps%28n-2%29  divide both sides by s
f=p%28n-2%29 

Edwin

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose f=(t-s)/[s/(n-2)] and p=(t-s)/s. Express f as a function of p and n.
I have already found f=(n-2)/(t-1) by solving for s in the p equation and substituting it into the f equations and then simplifying. I am confused as to how I solve f as a function of n 
That woman is WRONG, once again, which is not surprising at all. Therefore, IGNORE her answer.



 

      matrix%281%2C3%2C+fs%2C+%22=%22%2C+ps%28n+-+2%29%29 ------ Substituting ps for (t - s) in eq (i)



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