Answer:
Step-by-step explanation:
<u>Step 1: Subtract 32x from both sides</u>
<u>Step 2: Subtract 32 from both sides</u>
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<u>Step 3: Divide both sides by 4</u>
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Answer:
An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of
1 answer:
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1. The terms of a sequence are denoted by 
2.
3. so it is clear that the first columns add each time by one, and the second column add by 2, then by 4, by 6, by 8 and so on.
4. consider only the second column and how we get the terms, which we will call
:
5.
So
![u_{n}=(n+1)(1+2{1+2+3+....(n-1)}) =(n+1)(1+2 [(n-1)n/2]) = (n+1)(1+(n-1)n) =(n+1)( n^{2}-n+1 ) ](https://tex.z-dn.net/?f=u_%7Bn%7D%3D%28n%2B1%29%281%2B2%7B1%2B2%2B3%2B....%28n-1%29%7D%29%0A%20%20%20%20%20%20%20%20%0A%20%20%20%20%20%20%20%20%20%3D%28n%2B1%29%281%2B2%20%5B%28n-1%29n%2F2%5D%29%0A%0A%20%20%20%20%20%20%20%20%20%3D%20%28n%2B1%29%281%2B%28n-1%29n%29%0A%20%20%20%20%20%20%20%0A%20%20%20%20%20%20%20%20%20%3D%28n%2B1%29%28%20n%5E%7B2%7D-n%2B1%20%29%0A%20%20%20%20%20%20%20%20%20)
6. We can check:
7. Remark: Gauss addition formula: 1+2+3+....+n=n(n+1)/2
2.
3. so it is clear that the first columns add each time by one, and the second column add by 2, then by 4, by 6, by 8 and so on.
4. consider only the second column and how we get the terms, which we will call
5.
So
6. We can check:
7. Remark: Gauss addition formula: 1+2+3+....+n=n(n+1)/2
Answer: The breakeven point is 100 units.
Explanation:
Breakeven point:
check the picture below.
recall that the sum of all interior angles in a triangle is 180°, and that a flat-line like the line C, D and E are sitting on, is always 180°.
