245 455 527 I hop that helps I wasn't sure
Order of the people does not affect the total number of ways. Thus, we use combinations.
Total combinations: 20C5 = 15,504 ways.
<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m
velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t
acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18
</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s
acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
displacement = 3^3 - 9*3^2 +4 = -50m
Any number that ends with a 0 or a 5 would be a multiple of 5 because as you multipy numbers by 5 you start to see a pattern in the ones place of 5,0,5,0,5,0,5,0,... And so on forever
With inverse functions you just swap 'x' and 'y' and solve for 'y'.
![\sf y=x^2-7](https://tex.z-dn.net/?f=%5Csf%20y%3Dx%5E2-7)
Swap 'x' and 'y':
![\sf x=y^2-7](https://tex.z-dn.net/?f=%5Csf%20x%3Dy%5E2-7)
Add 7 to both sides:
![\sf x+7=y^2](https://tex.z-dn.net/?f=%5Csf%20x%2B7%3Dy%5E2)
Take the square root of both sides: