Algebra / Symbolic Question
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Algebra / Symbolic Question
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.
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Algebra_Geometry
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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.
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Hello!
Please attach your Mathcad worksheet.
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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...
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Well, to attach a file to the message you need to use the option "Use advanced editor":
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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.
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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...
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Actually Fred reviewing your answer / attachment still further, I think you have answered my question.
I can use this. Many thanks.
Lea...
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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?
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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...
