Answer:
-0.9090... can be written as 
.
Explanation:
Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.
We can start by listing out
0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now. we let this series be equal to x, that is
= 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now, we'll multiply both sides by 100
.
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...
Then, subtract the 1st equation from the second like so:
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
= - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...
And we end up with this:
Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.
Which can be reduced and simplified to
Hope this helps!
The (0, 3] is taken out of the picture leaving you with B.
We have given that,
Machine 1 can complete a task in x hours while an upgraded machine (machine 2) needs 9 fewer hours.
We have to determine the,
The plant manager knows the two machines will take at least 6 hours, as represented by the inequality
after you find the intervals.
you also need to consider that the plant manager knows the two machines will take at least 6 hours.
so (0, 3] is taken out of the picture leaving you with B.
To learn more about the inequality visit:
brainly.com/question/24372553
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The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000
The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000
Find out more on equation at: brainly.com/question/2972832
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F(x)=-3x
f(-5)=-3* (-5)
=15
hope ths help u !!!!!!!!!
^_^
I think that a linear equation can have no solution, one solution, or infinitely solutions. It just depends on what is the equation. That's what I think
