Atown has accumulated 22 inches of snow, and the snow depth is increasing by 66 inches every hour. a nearby town has accumulated 66 inches, and the depth is increasing by 33 inches every hour. in about how many hours will the snowfall of the towns be equal?

Create an expression. Solve for x

22+66x=66+33x
Subtract 33x from both sides
22+33x=66
Subtract 22 from both sides
33x=44
Divide both sides by 33
x=44/33=4/3 or 1.3 hours

Answer on assumption that f is dealt in real numbersf is increasing on the open interval (-4, -∛4) and f is decreasing on the open intervals (-∞, -4) and (-∛4, 0).======assuming the domain of x cannot contain complex numbers, we establish first that the domain is x  ≤ 0 due to the presence of  √(-x).to find where f is increasing/decreasing, we must find where the derivative of f is positive or negative. in order to do that, we must differentiate:     note that  find the critical numbers. these are where f' is undefined or equal to zero.we can see immediately that f' is undefined at x = 0 since there would be a division by zero.x = 0 is a critical number.to find where f' is equal to zero, set f'(x) = 0 and solve. in this case, we can use the zero factor property.    setting  to equal zero:     so x = -4 is a critical number.setting  to equal zero:     so x = -∛(4) is a critical number.our critical numbers are -4, -∛(4), and 0. setting up an interval chart to test for the sign of f' in the intervals created by these critical numbers, plug in a number that is in each interval to find the sign.    therefore, f is increasing on the open interval (-4, -∛4) and f is decreasing on the open intervals (-∞, -4) and (-∛4, 0).attached is a graph of function f from desmos to confirm