Math Forum / Mathematics / Algebra Help / February 2008

On p. 58 & 59 of Spivak's Calculus, he says "Given two distinct
points (a,b) and (c,d), find the linear function f whose graph goes
through (a,b) and (c,d). This amounts to saying that f(a) = b and
f(c) = d. If f is to be of the form f(x) = Aa + B, then we must have:

Hi, can anyone please help with this question?
If a matrix has r pivot columns, how do you know that its transport
also has r pivot columns?
Thanks for your help

pls po ano po solution po nito?
1: solve for g r=gs/g + s tapos dapat ang sagot niya ay g = rs/s -
r
2: solve for p t=rn + mn/p tapos dapat ang sagot niya ay p = mn/t -

I have a question about simplification.
How would I simplify something like (1-2x)/(1+2x) so "x" is all at the
top... Basically how do I simplify this so I don't have to deal with a
fraction anymore. Thanks!

I'm reading ``The Haskell School of Expression'' by Paul Hudak. One
exercise in the book is to determine whether a polygon is convex or
not. The trouble is to figure out an algorithm. I have not had any
interesting idea so far.

Can you please help me with this math problem?
The plane x - 3y - z = 12 is parallel to the plane x - 3y - z = 0.
One particular point on this plane is (12, 0, 0).  All points all the
plane have the form (x, y, z) = (a, 0, 0,) + y(b, 1, 0) + z(c, 0, 1).

Here is the question
A parabola has equation: y = ax^2 + bx + c.
It passes through the origin, and the tangent  at (1,0) on it makes an
angle of 45 degrees with OX.

     I have just done 35 calculus  questions of varying difficulty
and solved them quite easily, but the last problem i can't get my
thinking around  . This is it:       A rectangle PQRS is placed inside
a scalene triangle ABC [ the diagram is supplied but I can't draw it;

The questionut:  How many five-card combinations of a standard playing
card deck have cards from exactly two suits?
The answer:  379,236.
The sad thing is that after working on this problem for the last hour,