Answer:
Step-by-step explanation:
x³-6x²+11x-6
put x=1
1³-6×1²+11×1-6=1-6=11-6=0
by synthetic division
1| 1 -6 11 -6
| 1 -5 6
|----------------
| 1 -5 6 |0
x²-5x+6=0
x²-2x-3x+6=0
x(x-2)-3(x-2)=0
(x-2)(x-3)=0
x=1
x-1=0
so x³-6x²+11x-6=(x-1)(x-2)(x-3)
Answer:
The price of an adult ticket is $9 and the price of a student ticket is $6
Step-by-step explanation:
Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:
2x + 7y = 60
3x + 11y = 93
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:
6x + 21y = 180
-6x - 22y = -186
Add them together:
-y = -6
y = 6
Then, plug in 6 as y into one of the equations to solve for x:
2x + 7y = 60
2x + 7(6) = 60
2x + 42 = 60
2x = 18
x = 9
So, the price of an adult ticket is $9 and the price of a student ticket is $6
Answer:
c
Step-by-step explanation:
Answer:
P = 0.05
Step-by-step explanation:
E = P4πr²
2.50 = P4π(2)²
2.50 = P4π4
2.50 = P(50.265)
P = 0.05
