Answer:
15 5mg tablets
Step-by-step explanation:
The dog needs 7.5 mg a pound. He weighs 10 lbs so multiply 7.5 by 10. You get 75 so divide it by 5. Answer is 15
Answer: 56 / 729
Step-by-step explanation: (4 * 2 * 7) / (9^3)
Answer:
3
Step-by-step explanation:
find value at 12 =12
find value at 10 = 6
so it changes + 6 for a change from 10 to 12
6/2 = 3
For this case we have the following functions:
![f (x) = x ^ 4-x ^ 3 x ^ 2\\g (x) = - x ^ 2](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%20x%20%5E%204-x%20%5E%203%20x%20%5E%202%5C%5Cg%20%28x%29%20%3D%20-%20x%20%5E%202)
By definition of composition of functions we have to:![(f \ g) (x) = \frac {f (x)} {g (x)}](https://tex.z-dn.net/?f=%28f%20%5C%20g%29%20%28x%29%20%3D%20%5Cfrac%20%7Bf%20%28x%29%7D%20%7Bg%20%28x%29%7D)
So:
![\frac {f (x)} {g (x)} = \frac {x ^ 4-x ^ 3 x ^ 2} {- x ^ 2} = \frac {x ^ 4} {- x ^ 2} +\frac {-x ^ 3} {- x ^ 2}+ \frac {x ^ 2} {- x ^ 2} =](https://tex.z-dn.net/?f=%5Cfrac%20%7Bf%20%28x%29%7D%20%7Bg%20%28x%29%7D%20%3D%20%5Cfrac%20%7Bx%20%5E%204-x%20%5E%203%20x%20%5E%202%7D%20%7B-%20x%20%5E%202%7D%20%3D%20%5Cfrac%20%7Bx%20%5E%204%7D%20%7B-%20x%20%5E%202%7D%20%2B%5Cfrac%20%7B-x%20%5E%203%7D%20%7B-%20x%20%5E%202%7D%2B%20%5Cfrac%20%7Bx%20%5E%202%7D%20%7B-%20x%20%5E%202%7D%20%3D)
By definition of division of powers of the same base we have to place the same base and subtract the exponents:
![\frac {f (x)} {g (x)} = - x ^ 2+x-1](https://tex.z-dn.net/?f=%5Cfrac%20%7Bf%20%28x%29%7D%20%7Bg%20%28x%29%7D%20%3D%20-%20x%20%5E%202%2Bx-1)
ANswer:
![(\frac {f} {g}) (x) = - x ^ 2 +x-1](https://tex.z-dn.net/?f=%28%5Cfrac%20%7Bf%7D%20%7Bg%7D%29%20%28x%29%20%3D%20-%20x%20%5E%202%20%2Bx-1)