Find the solutions of the system: y = 2(5)-x and x + y = 2
2 answers:
It can be helpful to graph the system. The appropriate choice is ...
... (0, 2) and approximately (1.91, 0.09)
Such a system of equations has no algebraic solution. Some graphing calculators will identify the points of intersection of the graphs to full calculator precision. Others can help you iterate a solution, if you need better accuracy.
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Answer: 3/10
Step-by-step explanation:
Take the derivative of to get
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value