Simplify the expression

2 answers:

7 0

2x+3(x-2)-3(x-6) You would first distribute. So: 2x+3x-6-3x+18 Then you would combine like terms, like so: 2x+3x-3x= 2x -6+18= 12 So it'd be: 2x + 12 Which is answer choice A HOPE THIS HELPS!!(:

borishaifa [10]3 years ago

5 0

$2x+3(x-2)-3(x-6) \\ \\ 2x + 3x - 6 - 3x + 18 \ / \ expand \\ \\ (2x + 3x - 3x) - 6 + 18 \ / \ gather \ the \ like \ terms \\ \\ 2x - 6 + 18 \ / \ simplify \\ \\ 2x + 12 \ / \ simplify \\ \\$

The final result is A) 2x + 12.

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2/3

Step-by-step explanation:

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9514 1404 393

Answer:

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Step-by-step explanation:

Using logarithms base 2, we have ...

$(a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}$

That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...

$\log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}$