Answer:
G7. (2√3)/3
G8. -2+√7
G9. (6 +2√2 -3√3 -√6)/7
Step-by-step explanation:
G7.

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G8.

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G9.

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<em>Comment on the problems</em>
In most cases, these expressions are the simplest possible (take the least amount of ink to draw, and take the fewest math operations to evaluate). What seems to be intended is that the denominator be made a rational number. This is done by multiplying the given fraction by a fraction equal to 1 that has the same denominator but with the sign of the radical reversed (unless, as in the first case, the radical is by itself).
The purpose of doing this is to take advantage of the fact that (a-b)(a+b) = a²-b², so if "a" or "b" is a square root, that root will not be seen in the product. In problem G9, we see this can make the numerator quite messy--not exactly a simpler form--but all the irrational numbers are in the numerator.
Answer:
-170
Step-by-step explanation:
First, you would substitute 2 and 4 for a and b. 4 times 2 + 3(4 - 62) - 2 times 2 = ?
Then, do 4 times 2 (8), 3(4-62)=3(-58)
8 + -174 - 4 = -170
The cash flow in year 1 is $15.
<h3>What is the cash flow in year 1?
</h3>
A growing perpetuity increases continuously and indefinitely.
Cash flow = present value x (rate of return - growth rate)
214 x (10% - 3%)
214 x 0.07 = $15
To learn more about present value, please check: brainly.com/question/17322936
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For every 4 push ups done there were 7 situps done
Answer:
3
Step-by-step explanation:
4(1/2+3/4)+(-2) Distribute.
2+3+(-2) Simplify.
2+3-2
5-2
3
Hope this helps!! Have an amazing day (。・∀・)ノ゙