What is 4x + 27 = 10x - 33multi-step equations

1 answer:

7 0

4x+27=10x−33 then,4x+27−10x=10x−33−10x next,−6x+27=−33−6x+27−27=−33−27 next,−6x=−60 then,−6x−6=−60−6 finally,x=10

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PLEASE HELP WITH THIS!!

rosijanka [135]

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3 0

3 years ago

Read 2 more answers

Find the nth term in the sequence -6,-3,0,3,6

RoseWind [281]

First, determine what type of sequence the set of numbers make up. Through simple logic, it is an arithmetic sequence, because one can see by inspection that there is a common difference of 3 (positive 3, just to be a bit more pedantic).

We then use the formula, $t_{n} = a + (n - 1)d$
where $t_{n}$ represents the $n^{th}$ term; a represents the starting term (so the first number in the set of numbers, which in this case is -6); n is the term number (1st, 2nd, 3rd term, etc.); d is the common difference, that is, when you subtract the next term to the previous term – what is that numerical value.

To elaborate a bit more, your 1st term is -6, 2nd is -3, 3rd is 0, etc.

Also, the formula above is something you just learn, unless you learn to proof this formula, which is something different.

So, here, $t_{n} = -6 + (n-1)3$ , which can be expanded to:
$t_{n} = -6 + 3n-3$
Therefore, $t_{n} = 3n - 9$