Zach bought 200 shares of Goshen stock 20 years ago for $21.35 per share. He sold all 200
1 answer:
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Answer: Choice B)
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Work Shown:
This shows why choice B is the answer.
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Explanation:
- In the second step, I multiplied top and bottom by
- This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
- In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.
So in general, if the denominator is and you want to rationalize the denominator, then you should multiply top and bottom by
. The same applies in reverse as well.
This leads to the denominator becoming
Keep in mind that and
Answer:
Let X represent Nick's age and Y represent Sara's age.
Then, it is given that: Nick is four years older than Sara.
We write the statement as:
or
The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.
In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.
