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zvonat [6]
1 year ago
7

Write the equation given the following polynomial graph.

Mathematics
1 answer:
Nina [5.8K]1 year ago
7 0

Answer: Option (2)

Step-by-step explanation:

There is a double root at x=-1, so there is a factor of (x+1)^2.

  • Eliminate options (1) and (3).

Also, as x approaches both positive and negative infinity, the graph approaches negative infinity, so the leading coefficient is negative.

  • Eliminate (4).
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iVinArrow [24]
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet


we need to find the max area
but with 3 sides

area=LW
let's say the sides are z and y
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and the relatiionship between them is
hmm,
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because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other

(1200-2y)(y)=area
expand
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take derivitive
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max is where dy/dx goes from positive to negative
solve for where dy/dx=0
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1200=4y
300=y

at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max

then
z=1200-2y
z=1200-2(300)
z=1200-600
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so then
z=600
y=300
300<600

so the shorter side would be y

so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others


so ya, you are right
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