3. a machine is used to fill each of several bags with 16 ounces of sugar. after the bags are filled,
another machine weighs them. if the bag weighs 0.3 ounces more or less than the desired
weight, the bag is rejects. write the absolute value equation to find the heaviest and lightest
bag the machine will approve. what is the heaviest and smallest bag the machine will approve?

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step-by-step explanation:

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step-by-step explanation:

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let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0