2.18
Mark brainliest please
Hope this helps
Answer: 9
Step-by-step explanation: In this problem, we're going to evaluate a² + b knowing that <em>a</em> = -2 and <em>b</em> = 5.
So the first thing we want to do is substitute these numbers into our problem.
Since <em>a</em> = -2, we will replace <em>a</em> with a -2 and as we do that, we will put that -2 in parentheses and square it since we have a². Squaring a number just means multiplying a number by itself so (-2)² is equal to 4 since a negative multiplied by a negative gives us a positive.
Now we will replace <em>b</em> with 5 and now we have the following.
4 + 5 simplifies to 9.
Since it is given that the reduction in the amount of waste each week is linear, it is conclusive that these data are also in arithmetic sequence. First, determine the common difference (d)
d = (a10 - a5) / (10 - 5)
Subsituting the known values,
d = (30 - 40) / 5 = -2
To determine any term (at) of the arithmetic sequence,
at = a1 + (n - 1) x d
Solve for a1 by using either the given a5 or a10,
40 = a1 + (5 -1) x -2 ; a1 = 48
The equation becomes,
at = 48 + -2(n -1)
The equation that can be used to find the number of points is 9 + (14 × x) = 331 and the value is 23.
<h3>How to illustrate the information?</h3>
From the information, Sonia has completed 14 levels of a video game and has 9 points so far in her current level and she has a total of 331 points.
Let the number of points earned be illustrated as x.
The equation that can be used to find the number of points she earned for completing each level will be:
9 + (14 × x) = 331
9 + 14x = 331
14x = 331 - 9
14x = 322
Divide
x = 322 / 14
x = 23
The number of points is 23.
Learn more about equations on:
brainly.com/question/13763238
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10unites square
hope this helps
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