One tank contains 50 gallons of water and another tank contains 75 gallons of water. water is draining out of both tanks at a rate of 6 gallons per minute. do the tanks ever have the same amount of water before either is empty

No

Step-by-step explanation:

The tanks have separate amounts of starting amounts and they are depleting at the same rate, meaning that they will never be the same.

You can also do it like this:

The volume of the first tank can be modeled by y = x + 50

The volume of the second tank can be modeled by y = x + 75

Now find when they are equal by setting the equations to each other.

x + 50 = x + 75

x = x + 25

0 = 25

This equation has no solution

25

step-by-step explanation:

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