We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.
<h3>
How to get the sum of the first 8 terms?</h3>
In an arithmetic sequence, the difference between any two consecutive terms is a constant.
Here we know that:
There are 7 times the common difference between these two values, so if d is the common difference:
Then the sum of the first 8 terms is given by:
So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.
If you want to learn more about arithmetic sequences:
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Answer:
b) y=1/3x+5
Step-by-step explanation:
Without the actual scatter plot we would need to deduce from the options provided which would closely model the data. Since the number of goals scored in a game can only be 0 or positives then we can remove options a) and c) since a value of x = 0 would output a negative value to y. That leaves us with options b) and d). Since we know that soccer games vary in the number of goals then we can remove option d) since it represents a steady trend line of 4. Finally, we are left with option b) as the answer.
The center of this circle is at (0, 0) because there are no identifiers in front of the x and y values. After you graph the circle, you will see that (3, -1) is on the circle.
<h3>
Answer: Choice B) -t+7</h3>
Explanation
The like terms are ones that have the same variable in them, or that dont have a variable at all attached. One pair of like terms is t and -2t, which combine to t+(-2t) = t-2t = -t
The other pair of like terms are 4 and 3 which add to 7
So t+4+3-2t simplifies fully to -t+7, which is the same as 7+(-t) = 7-t
We cannot simplify any further from here as the 7 and -t are not like terms.
