Answer:
y = 3x-16
Step-by-step explanation:
two points where the line goes through is (5,-4) as mentioned and (0,-16)
Answer:
1/10
13/100
4/5
12/25
3/10
63/100
3/5
51/200
2/9
5/11
To prove the last 2 recurring ones:
0.222222... = x
10x = 10 * 0.22222... = 2.222222....
Notice how the decimal part of 10x is the same as for x:
10x - x = 2.2222222... - 0.222222... = 2
10x - x = 9x = 2
x = 2/9
Same procedure for the other one but times by 100 instead:
x = 0.454545...
100x = 45.454545...
100x - x = 45.454545... - 0.454545... = 45
100x - x = 99x = 45
x = 45/99 = 5/11
Step 1. READ THE QUESTION CAREFULLY!!!!!!
Step 2. Turn the problem into equations.
Step 3. Substitute/Eliminate variables.
Step 4. Find the first variable.
Step 5. Replace the variable1 with its correct number.
Step 6. Get your variable2.
Step 7.Do steps 3-4 until you have all the variables.
Step 8. Double check.
And you are done!
Answer:
a) Suppose that F is ordered in ascending order:
. Then, the complement of F can be written as

which is the union of a finite number of open intervals, then
is an open set. Thus, F is a closed subset of the real numbers.
b) Take an arbitrary element of F, let us say
. Now, choose a real number
such that
there are not other element of F, because
is less that the minimum distance between
and its neighbors.
In case that
we only consider
, and if
we only consider
.
Then, all points of F are isolated.
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
47-55=-8