Answer:
The minimum number of words left to write is 215
Step-by-step explanation:
Let
w -----> the number of words left to write
we know that
The number of words left to write plus the words written so far must be greater than or equal to 500 words
Remember that the word "at least" means "greater than or equal to"
so
Solve for w
Subtract 285 both sides
The minimum number of words left to write is 215
Answer:
G7. (2√3)/3
G8. -2+√7
G9. (6 +2√2 -3√3 -√6)/7
Step-by-step explanation:
G7.
__
G8.
__
G9.
_____
<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.