Answer:
Step-by-step explanation:
Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are 
of these parts in total. Because each of these parts make up 
of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.
The top left and bottom right both have one part shaded each for a total of 
parts.
The top right and bottom left have 
and 
parts shaded, respectively, for a total of parts.
Therefore, in total, there are 
parts shaded out of total parts.
Thus, the percentage of the total area that is shaded is:
.
Answer:
see below
Step-by-step explanation:
When the functions are inverses of each other, it will be true that ...
m(n(x)) = n(m(x)) = x
The expanded form of this equation is shown below.
A vertical asymptote simply means that the function is undefined at a certain point. We are given that it occurs at x=25. Notice that x is in the denominator and if the denominator equals 0, the entire function is undefined. <em>a</em> and <em>k</em> are simply constants, and so they can take on any value. This is one of infinite solutions to this question:
Notice that when you plug in x=25, the denominator is 0 and the function is undefined making it a vertical asymptote.
Hope I could help!
Answer:
y=13
Step-by-step explanation:
I think you're describing the number 0.888... where the 8s will keep
going forever and never end.
Now, I've been around a long time, and worked a lot of math, but
I never knew how to make a fraction out of repeating decimal until
just a short time ago. That's exactly what we need here. Here's
the trick:
-- You have a decimal, with a set of digits ... 1 or 2 or 3 or however many ...
that repeat.
-- Take one complete set of the digits that repeat. Write them
on top of a fraction.
-- On the bottom of the fraction, write the same number of nines
as however many digits are on top.
-- THERE's your fraction that's equivalent to the repeating decimal !
You can go ahead and simplify it if it's possible and you feel like it.
In this problem, the repeating part is only one digit ... the 8 .
Write 8 on top of the fraction. Then write a single 9 on the bottom.
There's your equivalent fraction.
0.888...repeating is equal to 8/9 .
