PrincessAurora
  • PrincessAurora
** WILL FAN & MEDAL ** Look at the system of equations: y = - x^2 + 1 and y = x^2. At which approximate points are the two equations equal?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
The y's are equal, right? That means you can set this up as x^2=-x^2 + 1. What should you do now?
PrincessAurora
  • PrincessAurora
Is it (-0.7,0.5)?
anonymous
  • anonymous
Well, let's work it out. x^2=-x^2 + 1 2x^2=1 x^2=1/2 x≈0.7, -0.7 You can find the y-value by putting the solutions into y=x^2. .7^2≈.5 So they'll intersect at (0.7, 0.5) and (-0.7, 0.5)

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PrincessAurora
  • PrincessAurora
ok i see but at what points are they equal?
PrincessAurora
  • PrincessAurora
both of those are answers
PrincessAurora
  • PrincessAurora
not one answer
PrincessAurora
  • PrincessAurora
on my worksheet
anonymous
  • anonymous
can we see the multiple choice answers?
anonymous
  • anonymous
Because there are two intersections. The question is probably asking for just one intersection, so yes, (-0.7, 0.5) would be the answer they're looking for. The intersections are where the equations are equal.
PrincessAurora
  • PrincessAurora
ok i see thanks !
anonymous
  • anonymous
No problem!

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