#3) Simplify: 5(j - 3) - (2j + 2) I might ask for help in a bit just plz help I’m not good with math
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Answer: Choice B
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Explanation:
The original equation is with 8 as the base. That is also the base of the log when we get the final answer shown above. Logs are useful to isolate the exponent.
The general rule is that is equivalent to the log form of
where b is the base of each.
<h3>Answer: See the diagram below</h3>
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Explanation:
Start at "2" on the number line. If you move to the right 6 steps, each time landing on a tickmark, then you'll arrive at "3" on the number line. This means the interval from 2 to 3 is cut into 6 equal pieces.
In other words, the little tickmarks represent 1/6 of a unit
If we go back to "2" on the number line, and move to the first tickmark, then we arrive at 2 & 1/6. Then the next tickmark would be 2 & 2/6, and so on.
Note how 2/6 = 1/3
So the mixed number 2 & 2/6 = 2 & 1/3
The location of 2 & 1/3 is marked in red in the diagram below.
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The mixed number 1 & 5/6 will be plotted a similar way.
Start at "1" on the number line. Count out 5 spaces until you arrive at 1 & 5/6. This is marked in blue in the same diagram. A shorter way is to start at "2" and count backward 1 tickmark. This works because the "2" is really 1 & 6/6. Going backward one tickmark has that "6/6" bump down to "5/6".