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FromTheMoon [43]
3 years ago
11

A machine is used to fill bags with sand. the average weight of a bag filled with sand is 22.3 pounds. Write an absolute value f

unction descibing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight.
Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

y=f(x)=|x-22.3|

Step-by-step explanation:

Let the weight of the bag of sand with an unknown weight be given as "x" pounds. Then, the difference between the weight of an average bag of sand which is given to be as 22.3 pounds,  is given as x-22.3. Therefore, the absolute value function describing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight will be given as: |x-22.3|.

Let us represent this by f(x) or y. And thus, we get:

y=f(x)=|x-22.3|

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Answer:

x=+i\sqrt{20}\approx+4.472i

x=-i\sqrt{20}\approx-4.472i

Step-by-step explanation:

Starting from x^2+20=0, we do x^2=-20, which means x=\pm\sqrt{-20}, which can be written as x=\pm\sqrt{(-1)(20)}, which gives us x=\pm\sqrt{(-1)}\sqrt{(20)}, which we know is x=\pm i \sqrt{(20)}, so our solutions are:

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Which can be approximated to:

x\approx+4.472i

x\approx-4.472i

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