This is word problems on quadratics .Explain the steps please, like What I did was let x be the smaller number and x-8 be the larger but I'm not sure if it shud be x+8 or x-8, pleae help. Explain in steps.
2007-10-16 14:02:13 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
You would use x as the larger number and x-8 as the smaller. Or you could use x as the smaller number and x+8 as the larger. It doesn't matter.
f(x)=x*(x-8) has its vertex at x=4. The parabola opens up, so the vertex is the minimum point. 4 and -4 are your answers.
2007-10-16 14:18:03 · answer #1 · answered by nemahknatut88 2 · 0⤊ 0⤋
Hello,
Let s = smaller
Let l = larger
l - s = 8
so l = 8-s now the product = s(8-s) = 8s - s^2
take the derivative giving us dp/ds = 8 - 2s setting this = 0 we have 8 -2s = 0 so s = 4 and l = 8 - 4 = 4
Hope This Helps!
2007-10-16 21:10:33 · answer #2 · answered by CipherMan 5 · 0⤊ 0⤋
If x is smaller, then larger is x+8, product is x(x + 8).
2007-10-16 21:13:21 · answer #3 · answered by Robert S 7 · 0⤊ 0⤋