X^3 - 6x^2 + 11x - 6 = 0
f(1) = 1^3 - 6(1)^2 + 11(1) - 6 = 1 - 6 + 11 - 6 = 0
This means that x - 1 is a factor of x^3 - 6x^2 + 11x - 6 = 0
x^2 - 5x + 6
___________________
x - 1 | x^3 - 6x^2 + 11x - 6
- | x^3 - x^2
|______________
| -5x^2 + 11x - 6
- | -5x^2 + 5x
|_____________________
| 6x - 6
- | 6x - 6
x^3 - 6x^2 + 11x - 6 = (x - 1)(x^2 - 5x + 6) = (x - 1)(x - 2)(x - 3)
Therefore, solutions to x^3 - 6x^2 + 11x - 6 are 1, 2 and 3.
Answer:
72 units^3
Step-by-step explanation:
Finding the volume of a cube is as simple as length × width × height
3 × 4 × 6
72 units^3
I think the answer would be 264
Convert this to slope-intercept form
subtract 1/4x,
3/4y=1-1/4x
then multiply my 4/3
y=4/3-1/3x
y=-1/3x+4/3
4/3 is the y-intercept, so when you're graphing begin with it. Then find another point on the graph according to the slope. Plot point (0,4/3) then plot a point with a y-value 1 less and an x-value 3 more. (slope is sometimes called rise over run because it is a ratio of the change in the y-value divided by the change in the x-value) Plot point (3,1/3). Connect the dots with a ruler and draw a line.
You'll calculate the amount it was decreased by :
15% is also 15/100
15/100 * 42000
The two 0's in 100 cut 2 of the 0's in 42000 making it :
15/1 * 420
15* 420 = 6300
So, 6300 is the amount that the price is decreased by, but the question says the price of the PC (personal computer) after the decrease has happened not the price it decreased by :
So,
42000 - 6300 = 35700.
