precalc question?

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the sum of two positive numbers is 60. find a funtion that models their product P in terms of x, one of the numbers

2006-09-17 05:23:13 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

X+Y=60
X*Y=X(60-X) I just solved for Y in terms of X
=60X-X^2

2006-09-17 05:26:17 · answer #1 · answered by bruinfan 7 · 0⤊ 0⤋

If one of the numbers is x, the other is 60 -x, so
their product is x(60-x). Since both numbers are
positive, the domain of this function is {x : 0 < x < 60}.

2006-09-17 05:31:49 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋

x + y = 60

y = -x + 60

f(x) = x(-x + 60)
f(x) = -x^2 + 60x

2006-09-17 06:41:56 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋