SOLUTION: The weekly profit of a company depends on the number of employees working during the week. It is represented by the formula P = x2 + x – 10 where x is the average number of employe
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Question 210679: The weekly profit of a company depends on the number of employees working during the week. It is represented by the formula P = x2 + x – 10 where x is the average number of employees working on each day of the week. For what values of ‘x’ is the profit positive?
You can put this solution on YOUR website! They give you:
P = x^2 + x – 10
.
Set P to zero to find out when you have NO profit:
0 = x^2 + x – 10
.
Solving for x will give you where it crosses the x-axis:
0 = x^2 + x – 10
Since we can't factor, we apply the quadratic equation to get:
x = {2.7, -3.7}
We can throw out the negative solution leaving:
x = 2.7
.
Values of x where P is POSITIVE:
x > 2.7
.
Details of quadratic to follow: