Answer:
the removal discontinuity of the following function at x=-6 or x=6.
Step-by-step explanation:
factoring f(x) = (x - 6)(x + 6)
----------------
x(x - 6)^x + 6)
For dividing rational expressions such as the one given, we use the same concept that we use when dividing fractions.
Thus, we multiply the first expression with the second expression's reciprocal as shown below.


We can cancel common factors and simplify the product. Hence, we have


Therefore, the quotient of the expressions is equal to
3/2.
Let x represent number of redwood trees and y represent number of spruce trees.
We have been given that a park ranger bought 12 trees. We can represent this information in an equation as:


We are also told that redwood trees cost $24 each, so cost of x redwood trees would be
.
Each spruce tree costs $16, so cost of y spruce trees would be
.
Since the park ranger spent $208 on trees, so we can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, the park ranger bought 2 redwood trees.
Upon substituting
in equation (1), we will get:

Therefore, the park ranger bought 10 spruce trees.
Let us assume that the total number of shares (also called the total holdings) held by Live Fund in Marks Brothers is
.
Then obviously half the holdings (or half the number of shares) of Live Fund will be
.
Thus, if each share is valued at $5000, then the total value of the number of shares sold (which is
will be:
dollars or $
.
Thus, Live Fund will receive $
if they sold half their holding in Marks Brothers.