Combine like terms:
n^3 + 20n^ + 10n^2
= n^3 + 30n^
Divide:
=n^3 + 30n^2/10n^2
Factor:
=n^2n + 30n^2
=n^(n + 30)
= 2^2(n + 30)/10n^2
Cancel the common factor n^2:
=n + 10/10
An event that cannot happen is impossible
Answer:
2328.5 weeks or 6.4 years
Step-by-step explanation:
69855/30= 2328.5/365= 6.4
Step-by-step explanation:
![{ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\](https://tex.z-dn.net/?f=%7B%20%5Crm%7Bslope%20%3D%20%20%5Cfrac%7By%20_%7B2%7D%20-%20y%20_%7B1%7D%20%7D%7Bx%20_%7B2%7D%20-%20x%20_%7B1%7D%20%7D%20%7D%7D%20%5C%5C%20)
• y2 → -1
• y1 → 5
• x1 → 4
• x2 → -3
![{ \tt{slope = \frac{ - 1 - 5}{ - 3 - 4} }} \\ \\ { \tt{slope = \frac{ - 6}{ - 7} }} \\ \\ { \boxed{ \tt{ \: slope = \frac{6}{7} }}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bslope%20%3D%20%20%5Cfrac%7B%20-%201%20-%205%7D%7B%20-%203%20-%204%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bslope%20%3D%20%20%5Cfrac%7B%20-%206%7D%7B%20-%207%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Ctt%7B%20%5C%3A%20slope%20%3D%20%20%5Cfrac%7B6%7D%7B7%7D%20%7D%7D%7D)
If the shaded region is the area inside the rectangle but outside the square, then the area is 121-25pi or 42.4602