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Ostrovityanka [42]
2 years ago
8

Please help Complete the equation describing how x and y are related.

Mathematics
1 answer:
djverab [1.8K]2 years ago
4 0

Answer:

y = 5x + 3

Step-by-step explanation:

The answer that belongs in the ? is 5.

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Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

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}

---------

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.

7 0
2 years ago
What is the simplified form of 3 over x squared all over 1 over x-cubed ?
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Perimeter 254 meters and dimension measures 6 meters​
Mamont248 [21]

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

5 0
2 years ago
2x2 + 2x - 1 when x = -3
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2x2+2x-1=
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