F(x) = x2 – 3x + 18
What is the value of the discriminant of f?
How many distinct real number zeros does f háve?
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Step-by-step explanation:

The discriminant is part of the quadratic formula.  If the value of the discriminant is less than 0, you have 2 imaginary solutions; if the discriminant is equal to 0, you have 1 real solution; if the discriminant is greater than 0, you have 2 real solutions.

The discriminant is , which for us, looks like this:

which simplifies to -63.  That means that the solutions are imaginary...not real at all.  So in answer to your question, there are no real zeros at all.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204