Item 5
Minnie organizes data in a table to show the net change in the number of people subscribing and unsubscribing to her website each month.

Month 1 2 3 4 5 6 7 8 9 10
Change −11 17 −1 −1 −1 −1 −11 17 −11 −11
She writes the sum of the ten integers, then factors her expression.

She correctly determines the total change for the 10 months.

What factored expression does she write, and what is her answer?

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$(−1−)+2()

Answer:

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chickennuggetlover15 chickennuggetlover15 · Answer 1 · 2021-09-22T22:07:50+02:00

Answer:

4 (-1-11) + 2 (17)

Answer 2 is -14

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2021-10-19T13:11:35+02:00

Expressions can be factorized by taking their greatest common factor (GCF)

The factored expression that represents the sum is: [tex]\mathbf{4(-1 - 11)+ 2(17) }[/tex]
Her answer is -14

From the given table, the sum can be represented as:

[tex]\mathbf{Sum = -11 + 17 -1 -1 -1 -1 -11 + 17 -11 - 11}[/tex]

Rewrite as:

[tex]\mathbf{Sum = -11 -11 -11 - 11 -1 -1 -1 -1 + 17 + 17}[/tex]

Express as sum of products

[tex]\mathbf{Sum = -11 \times 4 -1 \times 4 + 17 \times 2}[/tex]

Factorize

[tex]\mathbf{Sum = 4(-1 - 11)+ 2(17) }[/tex]

So, the factored expression that represents the sum is: [tex]\mathbf{4(-1 - 11)+ 2(17) }[/tex]

The answer is calculated as follows

[tex]\mathbf{Sum = 4(-1 - 11)+ 2(17) }[/tex]

[tex]\mathbf{Sum = 4(-12)+ 2(17) }[/tex]

[tex]\mathbf{Sum = -48+ 34 }[/tex]

[tex]\mathbf{Sum = -14}[/tex]

Her answer is -14