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Simplify the expression. 3x 3x

a. 6x
b. 9x
c. 6x2
d. 6 user: tom saves $5 each month. at this rate, how many months will he need to save $20?
a. 4 months
b. 15 months
c. 3 months
d. 5 months

User Derekaug
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1 Answer

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Alright. If we're multiply 3x by 3x, we can think of this as :

3 × x × 3 × x (since 3x is really just 3 × x)

We see that since it's all being multiplied together, it doesn't matter what order we do. 3 times 3 is 9, so we now have

9 × x × x

When multiplying the same type of variables, we add their exponents. if an exponent isn't shown, it's understood that there's an invisible 1 there. So we really have x^1+1 once we multiply x×x. So really, x × x is x^2. so, I now have:

9 × x^2 or 9x^2

I see that this isn't an available solution. Please recheck your answers, or what the original problem was. I can assure you that with the info provided, 9x^2 is undoubtedly the answer. Perhaps you meant 3x + 3x?

For the second problem, we just have to see how many times we need to add 5 to itself until we get 20. How many times we have to add is how many months he has to save.

5 + 5 + 5 + 5 = 20

So, 4 times, means he has to save for 4 months.

Hope this helps, and please let me know what happened with question 1!
User LouisK
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