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:
SY = 16
XY = 12
Step-by-step explanation:
15/20 = 12/SY
15SY = 240
SY = 16
15/20 = 9/XY
15XY = 180
XY = 12
Answer: The mean increases.
Step-by-step explanation:
The value of 0.9 mg/L is very low compared to a means of 7.6 mg/L with a standard deviation of 2.1 mg/L. It seems as though it is an outlier that is suffiently different from the others, and probably should be dropped from the data set. That would do 2 things: 1) the stabdard deviation will likely decrease, indicating a more confident data set, and 2) the mean vitamin C level will increase.
Michelle will earn $15 from the interest rate.