Uno menos el cociente de uno y un número x
1 answer:
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Answer:
Step-by-step explanation:
The constraints are
The red line represents the function
At
At
Two points are
The blue line represents the function
at
at
Two points are
The other two constraints are ,
. So, the point has to be in the first quadrant
From the graph it can be seen there are two points where the function will be maximum let us check them.
So, the maximum value of the function is .
- Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.
(Make sure to set f(x) to zero)
So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x:
Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside:
Now you can rewrite the equation as:
Now apply zero product property to the factors to solve for x:
<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>