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lana [24]
4 years ago
10

PLEASE HELP! 20 POINTS PLUS BRAINLIEST!

Mathematics
2 answers:
Sholpan [36]4 years ago
6 0
Im almost positive the answer is D.

guapka [62]4 years ago
6 0
The answer is y=-(x+3)^3-2 or D
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The height of water shooting from a fountain is modeled by the function f(x) = −0.2x2 − 2.8x − 5.4 where x is the distance from
balandron [24]
Start by setting the function equal to 0 and then moving the -5.4 over to the other side of the equals sign.  -.2 x^{2} -2.8x=5.4.  The first rule for completing the square is that the leading coefficient be a +1.  Ours is a -.2.  So we need to factor it out. -.2( x^{2} +14x)=5.4.  Now we will take half the linear term, square it, and add it to both sides.  Our linear term is 14.  Half of 14 is 7, and 7 squared is 49.  So we add 49 in to the left side just fine, but we cannot forget about that -.2 hanging around out front as a multiplier.  What we have actually "added" in is -.2*49 which is -9.8.  Now here's what we have after all that: -.2( x^{2} +14x+49)=5.4-9.8.  In that process, we have created a perfect square binomial on the left.  Along with expressing that binomial we will do the math on the right: -.2(x+7) ^{2} =-4.4.  Now we will move the -4.4 back over by addition, and it will then be apparent as to what our vertex is.  The y coordinate of the vertex will give us the max height of the water.  -.2(x+7) +4.4=y.  As you can see, our work matches choice C from above.
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There would be 223 people every square mile
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serg [7]

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