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DanielleElmas [232]
3 years ago
13

Two different expressions that are equivalent to 12-16x

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

4(3-4x) 2(6-8x)

hope this helps.

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A farmer has 1,800 feet of fencing and wants to fence off a rectangular field that borders a straight river. he needs no fence a
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There are 2 short sides x and 1 long side y.

x+x+y=1,800
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The area of the rectangle is A=x(1,800-x).


A is a function with variable x. Moreover it is a quadratic (second degree) function.

The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:

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This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.


The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.


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A=x(1,800-x)

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