Explain why 2/3 ×12 can be written as 2 × 12 ÷3
1 answer:
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Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of ().
Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.
Knowing this you can plug in the corresponding i values into () and sum it all together
() + (
) + (
)
() + (
) + (
)
() + (
) + (
)
(8) + (2) + ()
10 +
10.5
Hope this helped!
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Answer:
- sum: 3x² -4x -4
- product: (x -2)(3x +2)
Step-by-step explanation:
The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.
<h3>Sum</h3>The total of the given area expressions is ...
3x² +2x -6x -4 = 3x² -4x -4 . . . . sum
<h3>Product</h3>Extending the table to show common factors of each row and column, we have ...
Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...
(x -2)(3x +2) . . . . product