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Naya [18.7K]
3 years ago
10

If f(x) = 3x2 + 6x + 12 and g(x) = x2 – 6x + 3, what is f(x) + g(x)?

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

I think it would be C. 4x^2 +15 since positive 6 and negative 6 cancel each other out and you just combine like terms.

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One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda
Pani-rosa [81]
We are given an equation:
(x+10)^{2} +  (y-8)^{2} = 16

This is an equation of a circle. General form of a circle equation is:
(x-a)^{2} + (y-b)^{2} = r^{2}
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a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
r^{2} =16  \\ r=4
The greatest distance at which person can be detected is 4ft.
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