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1 answer:
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Answer: 4 (OPTION 2)
Step-by-step explanation:
1. To solve this problem you must apply the Intersecting secants theorem, as you can see below:
Where:
2. Then you must susbstitute values and solve for x, as following:
Therefore the answer is the second option.
Answer:
<h2>y = -2x + 2 → 2x + y = 2</h2>Step-by-step explanation:
Answer:
His profit in dollars per day is 91.
Step-by-step explanation:
You know that the net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1*x² + 6*x + 1, where x is the number of employees he hires.
If he hires the number of employees that will maximize his profit, then this indicates that I should look for the maximum of the function f (x).
A quadratic function or second degree function is a polynomial function defined as:
f(x)= a*x² + b*x + c
If the scalar a> 0, the parabola opens upwards and the vertex is the minimum of the function. On the other hand, if a <0, the parabola opens downwards and the vertex is the maximum of the function.
In this case, having a value of -0.1, the vertex will indicate the maximum of the function.
The maximum in x is then reached when:
In this case, being a=-0.1 and b=6, you get:
The number of employees who will maximize their profits is 30. So, replacing in the function f (x) you get:
f(30) = -0.1*30² + 6*30 + 1
Solving:
f(30)= 91
<u><em> His profit in dollars per day is 91.</em></u>