Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.
find that value and explain how you know

First,

We are dealing with parabola since the equation has a form of,

Here the vertex of an up - down facing parabola has a form of,

The parameters we have are,

Plug them in vertex formula,

Plug in the into the equation,

We now got a point parabola vertex with coordinates,

From here we emerge two rules:

So our vertex is minimum value since,

Hope this helps.

r3t40

1/800 is the right answer

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).