Answer:
Lower limit of the sum: 0
Upper limit of the sum: 17
Explicit formula: ∑
(3+7i)
Step-by-step explanation:
Noting that each row has 7 more beads than the previous one and that the series also begins with 3, the formula is:
∑
(3+7i)
The lower limit is 0, since 3+ (7 * 0) = 3
When i = 0 you get the value of beads from the first row, when i = 1 you get the value of beads from the second row and so on. Given this, the upper limit is 17.
The following triangle is classified as: Scalene acute.
<h3>Why is the triangle classified as scalene?</h3>
The triangle is classified as scalene because all side lengths are different. If there were 2 equal side lengths, the triangle would be isosceles, and if all three were equal, equilateral.
<h3>Why is the triangle classified as acute?</h3>
The triangle is classified as acute because all angles are less than 90º. If there was one angle with measure greater than 90º, the triangle would be classified as obtuse.
More can be learned about classification of triangles at brainly.com/question/1058720
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When it says 'which has a greater rate of change' it is referring to 'what has a greater slope.' So, let's calculate each thing's slope:
Table:
I'm going to pick the easiest values to work with, so I'll pick the points (0, -2) and (1, -9/5) - I simplified the mixed fraction. So, here we go, the slope formula is:



So, the table's slope is
-1/5.
Graph
We can, again, pick two points. I'll pick the two given: (5, 0) and (0, -3). Let's start off with the same formula:


The graph's slope is
3/5.
Now, we just have to decide which is bigger:
-1/5 or
3/5. So, clearly:
3/5 > -1/5.
The
3/5 slope was the graph, hence it has the greater rate of change (
that's why it's B). If anything doesn't make sense, feel free to DM me or ask!
Answer:
2 and 3 show a quadratic relationship.
Step-by-step explanation: