Answer:
option A
![\frac{(x+2)(x+5)}{x^{3}-9x }](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B2%29%28x%2B5%29%7D%7Bx%5E%7B3%7D-9x%20%7D)
Step-by-step explanation:
Take LCM
![\frac{2x+5}{x(x-3)}-\frac{3x+5}{x(x^{2}-9)}+\frac{x+1}{(x+3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B5%7D%7Bx%28x-3%29%7D-%5Cfrac%7B3x%2B5%7D%7Bx%28x%5E%7B2%7D-9%29%7D%2B%5Cfrac%7Bx%2B1%7D%7B%28x%2B3%29%28x-3%29%7D)
![\frac{2x+5}{x(x-3)}-\frac{3x+5}{x((x+3)(x-3))}+\frac{x+1}{(x+3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B5%7D%7Bx%28x-3%29%7D-%5Cfrac%7B3x%2B5%7D%7Bx%28%28x%2B3%29%28x-3%29%29%7D%2B%5Cfrac%7Bx%2B1%7D%7B%28x%2B3%29%28x-3%29%7D)
![\frac{(2x+5)(x+3)}{x(x+3)(x-3)}-\frac{3x+5}{x((x+3)(x-3))}+\frac{(x+1)(x)}{x(x+3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B%282x%2B5%29%28x%2B3%29%7D%7Bx%28x%2B3%29%28x-3%29%7D-%5Cfrac%7B3x%2B5%7D%7Bx%28%28x%2B3%29%28x-3%29%29%7D%2B%5Cfrac%7B%28x%2B1%29%28x%29%7D%7Bx%28x%2B3%29%28x-3%29%7D)
Now the Denominator is same we can add the numerator
![\frac{(2x^{2}+11x+15)}{x(x+3)(x-3)}-\frac{3x+5}{x((x+3)(x-3))}+\frac{(x^{2}+x)}{x(x+3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B%282x%5E%7B2%7D%2B11x%2B15%29%7D%7Bx%28x%2B3%29%28x-3%29%7D-%5Cfrac%7B3x%2B5%7D%7Bx%28%28x%2B3%29%28x-3%29%29%7D%2B%5Cfrac%7B%28x%5E%7B2%7D%2Bx%29%7D%7Bx%28x%2B3%29%28x-3%29%7D)
![\frac{2x^{2}-x^{2}+11x-3x-x+15-5}{x(x+3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E%7B2%7D-x%5E%7B2%7D%2B11x-3x-x%2B15-5%7D%7Bx%28x%2B3%29%28x-3%29%7D)
![\frac{x^{2}+7x+10}{x(x+3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%2B7x%2B10%7D%7Bx%28x%2B3%29%28x-3%29%7D)
![\frac{(x+2)(x+5)}{x(x+3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B2%29%28x%2B5%29%7D%7Bx%28x%2B3%29%28x-3%29%7D)
![\frac{(x+2)(x+5)}{x^{3}-9x}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B2%29%28x%2B5%29%7D%7Bx%5E%7B3%7D-9x%7D)
1. in the tenths place
2. 9 tenths
So hmmm check the picture below
so, we're looking for dr/dt then at 4:00pm or 4 hours later
now, keep in mind that, the distance "x", is not changing, is constant whilst "y" and "r" are moving, that simply means when taking the derivative, that goes to 0