Answer:
57×2/3+32×450-[39-4+2]/2+8
57×2/3+32×450-(39-6/2)+8
57×2/3+32×450-36+8
57×2/3+14400-28
57×2/3+14372
38+14372
14410
Answer:-7x+2y=2
Step-by-step explanation:
(-2x+y=8)-(5x-y=6)
(-2x+y=8)> this side change since it’s negative
(-2x+y=8) - (-5x+y=-6)
-7x+2y=2
3a(4a²-5a+12)
12a³-15a²+36a
~Hope this helped!~
If the given differential equation is
![\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1](https://tex.z-dn.net/?f=%5Ccos%5E2%28x%29%20%5Csin%28x%29%20%5Cdfrac%7Bdy%7D%7Bdx%7D%20%2B%20%5Ccos%5E3%28x%29%20y%20%3D%201)
then multiply both sides by
:
![\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)](https://tex.z-dn.net/?f=%5Csin%28x%29%20%5Cdfrac%7Bdy%7D%7Bdx%7D%20%2B%20%5Ccos%28x%29%20y%20%3D%20%5Csec%5E2%28x%29)
The left side is the derivative of a product,
![\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%3D%20%5Csec%5E2%28x%29)
Integrate both sides with respect to
, recalling that
:
![\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%5C%2C%20dx%20%3D%20%5Cint%20%5Csec%5E2%28x%29%20%5C%2C%20dx)
![\sin(x) y = \tan(x) + C](https://tex.z-dn.net/?f=%5Csin%28x%29%20y%20%3D%20%5Ctan%28x%29%20%2B%20C)
Solve for
:
.
Answer:
903 offices
Step-by-step explanation:
Total number of officers in the sky scraper
= 26 + 31 + [(49-2)×18]
= 26 + 31 + 846
= 903 offices