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WINSTONCH [101]
3 years ago
5

Simplify -4+5x-17-22x

Mathematics
2 answers:
marusya05 [52]3 years ago
5 0

Answer:-21 - 17x

Step-by-step explanation:

-4 + 5x - 17 - 22x

Combine -17 and -4: -21 + 5x - 22x

Combine -22x and 5x: -21 - 17x

Elina [12.6K]3 years ago
4 0
<h3>Answer:</h3>

\large\boxed{-17x-21}

<h3>Step-by-step explanation:</h3>

In this question, we're simply combining "like-terms" in order to simplify the expression.

Lets solve:

-4+5x-17-22x\\\\\text{First, lets add 5x and -22x}\\\\-17x-4-17\\\\\text{Now we would add the -4 and -17. Adding 2 negatives still keeps it a negative}\\\\-17x-21

When you're done solving, you should get -17x-21

This means that -17x-21 would be the simplified version.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

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