A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16-3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of
19-4/5 liters per minute.

(a) What expression represents the change in volume of solution in the tank in 1 minute?

(b) What is the change in volume of the solution after 15 seconds?

(c) What does the change in volume after 15 seconds mean in the real world?

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

if you was gonna solve for a, a is a   < -12

answer: 40392

step-by-step explanation:

10098 x 4 = 40392

it is 28 degrees colder in detroit than philadelphia.

step-by-step explanation:

what number adds to 21

-7 + ? = 21

-7 + 28 = 21

hope it