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Dear All,
Here is an Algebra / Symbolic Question
Given the linear function :-
f(t):- 1/(2.75 + v1) * (t) + 1
of the form Y = M * X + B
If v1 above equals = 0.25
And the time is 12*t :-
So that gives => 1/(2.75 + 0.25) * (12 * t ) + 1
That gives Y = 5
QUESTION:- Is it possible, (and I don’t think it is), to re-write the above function f(t)
so that the ‘B’ above is symbolically replaced with only M and X?
Please advise if this is possible & show symbolical result.
Many thanks for you help attention.
Best regards,
Lea…
Solved! Go to Solution.
The "form" Y = M*X + B is a generic straight line, M is slope and B is the value of Y when X=0, the "x intercept".
Replacing "X" with "t" does not change the character of the equation. There's only so much you can do.
Hello!
Please attach your Mathcad worksheet.
Hi VadimirN,
Many thanks for your reply. I have attached a worksheet on a similar NAMED thread as I was unable to edit / attach files to this / original thread. ( IE Permision not granted - was the message.)
Many thanks for your help & attention,
Best regards,
Lea...
Well, to attach a file to the message you need to use the option "Use advanced editor":
The "form" Y = M*X + B is a generic straight line, M is slope and B is the value of Y when X=0, the "x intercept".
Replacing "X" with "t" does not change the character of the equation. There's only so much you can do.
Hi Fred,
Many thanks for your help & attention to my question.
The answer in your attachment - "straight lines.xmcd" is very good & almost answers my question.
Although I was wondering if it was possible to remove the Y from the right hand side of the equation because I do know the value of M & X in this example.
Best regards,
Lea...
Actually Fred reviewing your answer / attachment still further, I think you have answered my question.
I can use this. Many thanks.
Lea...
Not sure I understand what you mean by "B is symbolically replaced with only M and X." Do you mean you want the function written as f(B) instead, with M, X, and Y as the known values?
Because, as I mentioned earlier, in this example if I know slope / M = 1/(2.75 + 0.25) and X = 12*t...
Then can I re-write the original function of the form Y = M*X + B
to exclude B, but by substituting the components M and X..
For example the rewrite could look like Y = M*X + ( Y - M*X )
but I would like to substitute still further, if possible, to remove the Y from the right side of the equation.
Actually I think Fred Kohlhepp, (in above reply / attachment ), answered my question. Although I was wondering if it was possible to remove the Y from the right hand side of the equation.
Any advice or help gratefully received.
Best regards,
Lea...