8x - 23 because you answer them until you have it all simplified
The graph first represents the provided piecewise function option first is correct.
<h3>What is a piecewise function?</h3>
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.
![\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}](https://tex.z-dn.net/?f=%5Crm%20y%3D%5Cleft%5C%7Bx%5Cle-2%3A%5Csqrt%7B-x-2%7D%5Cright%5C%7D)
![\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}](https://tex.z-dn.net/?f=%5Crm%20y%3D%5Cleft%5C%7B-2%20%3C%20x%20%3C%201%3A%5Cdfrac%7Bx%7D%7Bx%5E%7B2%7D%2Bx-2%7D%5Cright%5C%7D)
![\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}](https://tex.z-dn.net/?f=%5Crm%20y%3D%5Cleft%5C%7Bx%5Cge1%3A%5Clog_%7B2%7D%5Cleft%28x%2B1%5Cright%29%5Cright%5C%7D)
After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
Learn more about the piecewise function here:
brainly.com/question/12561612
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For this case what we can do is the following rule of three:
2/3 of a box ------> 1/2 minutes
x of a box ---------> 1 minute
Clearing x we have:
x = (1 / (1/2)) * (2/3)
Rewriting:
x = 2 * (2/3)
x = 4/3
Answer:
the number of boxes per minute that the machine packs is:
x = 4/3