Answer: The equation that represents the road is y= - 1/3x +1/3
Step-by-step explanation:
١١٢٢٩٩٢٨٢٨٢٨٢٨٨٢٨٨١٨ $-&-$-$-$$$$ -($-$/ شنشنستستسرستس
The first step of solving this problem is to find your x, which is the unknown number. The unknown number is the age of Max. Once you find the x you can write out your equation.
The equation for this problem is:
2x+8=26
the first step is to subtract 8 from both sides so that all you have on the left side is 2x and your equation will look like ths:
2x=18
after subtracting the 8; divide everything by the coefficient of x which is 2, your result is:
x=9
Max is 9 years old.
Factors are things that you multiply so p is a factor and q-1 is a factor
You can see how the difference between two consecutive terms is constantly increasing:
![a_1 = 4](https://tex.z-dn.net/?f=a_1%20%3D%204)
![a_2 = 7 = 4+3](https://tex.z-dn.net/?f=a_2%20%3D%207%20%3D%204%2B3)
![a_3 = 12 = 7+5](https://tex.z-dn.net/?f=a_3%20%3D%2012%20%3D%207%2B5)
![a_4 = 19 = 12+7](https://tex.z-dn.net/?f=a_4%20%3D%2019%20%3D%2012%2B7)
So, for the next terms we'll have to add +9, +11, +13 and so on.
Also, note that
is obtained by adding the 2nd odd number to
,
is obtained by adding the 3rd odd number to
, and so on.
So, the recursive formula is
![a_n = a_{n-1}+(2n-1),\quad a_1=1](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%2B%282n-1%29%2C%5Cquad%20a_1%3D1)
For the explicit formula, recall that the sum of the first n odd numbers is n squared. Taking into account the fact that we're not starting from 1, we have
![a_n = n^2+3](https://tex.z-dn.net/?f=a_n%20%3D%20n%5E2%2B3)