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Assoli18 [71]
3 years ago
6

Write the sum using sigma notation 3^2+4^2+5^2+...+10^2

Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0

     \sum\limits_{i=3}^{10}\big i^2

or:

     \sum\limits_{i=1}^{8}\left(2+i\right)^2

or:

    x₁=3, x₂=4, x₃=5, .... x₈=10

    \sum\limits_{i=1}^{8}\big x_i^2

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Hello!

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Looking at the graph, we can see that the y-intercept is negative. Also, we can also determine that each square represents one unit. So, the y-intercept has to be -3/2 or -1.5. That removes the choices A and C because the y-intercept is in between the values of -1 and -2.

Secondly, the graph has a positive slope. Why? When the x-values increase, the y-values increase. Also, when the x-values decrease, the y-values also decrease. This tells us that the graph has a positive slope (this doesn't remove any choices, but it helps to distinguish which graph has a positive or negative slope).

Finally, we know that if the slope is greater than one, then it is steeper (m > 1). But, if it's less than one, then it becomes less steep (0 < m < 1). Looking at the graph, the graph looks relatively steep (graphing the equations y = 5/7 x - 3/2 and y = 7/5x - 3/2 can help you see the differences between them).

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