There were an on-time departure for all 3 flights in 5 of the simulations.
We can't find the exact area of this rectangle without knowing x. However, in terms of x, we can expand (4x+3)(2x-1) to get
![8x^2+2x-3](https://tex.z-dn.net/?f=8x%5E2%2B2x-3)
as the area in terms of x.
Step-by-step explanation:
<u>Step 1: Substitute x from the second equation into the second one</u>
![2x - 9y = 14](https://tex.z-dn.net/?f=2x%20-%209y%20%3D%2014)
![2(-6y + 7) - 9y = 14](https://tex.z-dn.net/?f=2%28-6y%20%2B%207%29%20-%209y%20%3D%2014)
![(2 * -6y) + (2 * 7) - 9y = 14](https://tex.z-dn.net/?f=%282%20%2A%20-6y%29%20%2B%20%282%20%2A%207%29%20-%209y%20%3D%2014)
![-12y + 14 - 9y = 14](https://tex.z-dn.net/?f=-12y%20%2B%2014%20-%209y%20%3D%2014)
![-21y +14 - 14 = 14 - 14](https://tex.z-dn.net/?f=-21y%20%2B14%20-%2014%20%3D%2014%20-%2014)
![-21y/-21 = 0 / -21](https://tex.z-dn.net/?f=-21y%2F-21%20%3D%200%20%2F%20-21)
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
<u>Step 2: Substitute y into the second equation</u>
![x = -6y + 7](https://tex.z-dn.net/?f=x%20%3D%20-6y%20%2B%207)
![x = -6(0) + 7](https://tex.z-dn.net/?f=x%20%3D%20-6%280%29%20%2B%207)
![x = 0 + 7](https://tex.z-dn.net/?f=x%20%3D%200%20%2B%207)
![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
Answer: ![x = 7, y = 0](https://tex.z-dn.net/?f=x%20%3D%207%2C%20y%20%3D%200)
Answer:
q = ±5√5
Step-by-step explanation:
q² - 125 = 0
q² = 125
q = ±√(5 * 25)
q = ±5√5
Answer: infinitely many solutions
Step-by-step explanation:
Simplify left side using distributive property to 6x+16. Combine like terms (2x and 4x) on the right side to 6x+16. Both sides simplify to the same expression (left side = right side) so there are infinitely many solutions. You can plug in any real number for x and the left side will always equal the right side.