Answer:
75 liters are left in the bathtub
Explanation:
First, we should know that a hectoliter is a unit of capacity that is equal to 100 liters.
We are given that the bathtub holds 1 hectoliter of water.
This means that the bathtub holds 100 liters of water.
We are also given that 25 liters of water were drained from the bathtub.
This means that:
remaining amount of water = original amount - drained amount
remaining amount of water = 100 - 25
remaining amount of water = 75 liters
Hope this helps :)
Answer:
x<9
Step-by-step explanation:
-5(x-1) > -40 ---> divide each side by -5(you flip the inequality because of dividing by negative)
(x-1)<8 ---> add 1 to each side
x<9
Answer:
![R = \{ \forall x \in \mathbf{R}|-\infty < x < \infty\}](https://tex.z-dn.net/?f=R%20%3D%20%5C%7B%20%5Cforall%20x%20%5Cin%20%5Cmathbf%7BR%7D%7C-%5Cinfty%20%3C%20%20x%20%3C%20%5Cinfty%5C%7D)
Step-by-step explanation:
The definition of derivative states that:
![g'(t) = \lim_{h \to 0} \frac{g(t+h)-g(t)}{h}](https://tex.z-dn.net/?f=g%27%28t%29%20%3D%20%20%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7Bg%28t%2Bh%29-g%28t%29%7D%7Bh%7D)
Then:
![g'(t) = \lim_{n \to \infty} \frac{7\cdot (t+h)-7\cdot t}{h}](https://tex.z-dn.net/?f=g%27%28t%29%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B7%5Ccdot%20%28t%2Bh%29-7%5Ccdot%20t%7D%7Bh%7D)
![g'(t) = \lim_{h \to 0} 7](https://tex.z-dn.net/?f=g%27%28t%29%20%3D%20%20%5Clim_%7Bh%20%5Cto%200%7D%207)
![g'(t) = 7](https://tex.z-dn.net/?f=g%27%28t%29%20%3D%207)
A constant function is a zero-order polynomial. The domain of any real polynomial is
. Then, the domain of the function is:
![R = \{ \forall x \in \mathbf{R}|-\infty < x < \infty\}](https://tex.z-dn.net/?f=R%20%3D%20%5C%7B%20%5Cforall%20x%20%5Cin%20%5Cmathbf%7BR%7D%7C-%5Cinfty%20%3C%20%20x%20%3C%20%5Cinfty%5C%7D)