Given that
and
, we can say the following:

Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).
Thus, let's set what is under both square roots to be greater than 0:


Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

Now, let's look back at the function entirely, which is:

Since
is on the bottom of the fraction, we must say that
, since the denominator can't equal 0. Thus, we must exclude
from the domain.
Thus, our answer is Choice C, or
.
<em>If you are wondering why the choices begin with the
symbol, it is because this is a way of representing that
lies within a particular set.</em>
Answer:
6 gallons
Step-by-step explanation:
You can find this using the ration method.
If, 8 gallons : 192 miles
x gallons : 144 miles
We must find the value of x, which is the number of gallons used to travel 144 miles.
Cross multiply the ratios.
192 x = 8 × 144
192 x = 1152
x = 1152 ÷ 192
x = 6
∴ It takes 6 gallons to travel 144 miles.
Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.
The standard deviation will equal 3.