Answer: 2/3 of an hour.
Step-by-step explanation: The constant rate of the lifeguard filling the pool is 1/3 of the pool every 1/2 hour. If she fills it for an hour, she'll get 2/3 of the pool filled. Therefore, it'll take the lifeguard 1 hour to fill the pool 2/3 of the way.
Hope this helps! :)
Answer:

Step-by-step explanation:
![y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.](https://tex.z-dn.net/?f=y%3Df%28x%29%3D%5Cdfrac%2019%20x%20%2B2%5C%5C%5C%5C%5Ctext%7BReplace%20x%20with%20y%20and%20then%20solve%20for%20y%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%20%5Cdfrac%2019%20y%2B2%5C%5C%5C%5C%5Cimplies%209x%20%3Dy%20%2B%2018~~~~~~~~~~~~~~~%3B%5B%5Ctext%7BMultiply%20both%20sides%20by%209%7D%5D%5C%5C%20%5C%5C%5Cimplies%20y%20%3D%209x%20-18%5C%5C%5C%5C%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18%5C%5C%5C%5C%5Ctext%7BHence%2C%20the%20inverse%20of%20the%20given%20function%20is%7D~%20%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18.)
Answer:

Step-by-step explanation:
you first need to change the mixed number to an improper fraction

then multiply the second fraction by 2 so that the denominator is the same in both fractions


Answer:
B. (Graph Z)
Step-by-step explanation:
A nonlinear rate is always expressed as a curve on a graph.
c) None of the above.
When 3g+6(-g+(-5)) is broken down, it makes -3g+-5, but I don't know, I'm not confident with my answer and I'm probably wrong.