Answer:
![a_{42}=-98](https://tex.z-dn.net/?f=a_%7B42%7D%3D-98)
Step-by-step explanation:
Arithmetic sequence formula:
, where a is the term, n is the position of the term, and d is the common difference between the terms.
Plug in values:
![a_{42}=4.5+(42-1)(-2.5)](https://tex.z-dn.net/?f=a_%7B42%7D%3D4.5%2B%2842-1%29%28-2.5%29)
Solve:
![a_{42}=4.5+(41)(-2.5)\\a_{42}=4.5-102.5\\a_{42}=-98](https://tex.z-dn.net/?f=a_%7B42%7D%3D4.5%2B%2841%29%28-2.5%29%5C%5Ca_%7B42%7D%3D4.5-102.5%5C%5Ca_%7B42%7D%3D-98)
I think the answer is C, but I could be wrong.
I think this because just the mean of the random 25 pages, isn't going to be completely reliable. There maybe be a section in the geography book that explains a simple concept that doesn't require many words to describe. But there could also be a section describing a very difficult concept that would take lots of words to explain.
Hope this helps! :)
Answer:
Solution: (3, 2)
Step-by-step explanation:
It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.
<u>x - 3y = -3</u>
-3y = -x - 3
Divide both sides by -3:
![\frac{-3y}{-3} = \frac{-x - 3}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3y%7D%7B-3%7D%20%20%3D%20%5Cfrac%7B-x%20-%203%7D%7B-3%7D)
y = 1/3x + 1
where slope = 1/3
y-intercept = 1
<u>x + y = 5</u>
Subtract x from both sides to isolate y:
x - x + y = - x + 5
y = -x + 5
where slope = -1
y-intercept, 5
I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, <u>x - 3y = -3</u> is the blue line, while <u>x + y = 5</u> is the green line. Their intersection occurs at point, (3, 2).
Therefore, the solution is (3, 2).
Please mark my answers as the Brainliest if you find my explanations helpful :)
Answer:
Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : (9*3)*6-(6*(9*3))=0 STEP 1 : Equations which are always true 1.1 Solve 0 = 0. This equation is a tautology (Something which is always true) Equation is alway true
Hoped I helped
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