You can identify the lines and their colour either by
1. the y-intercepts.
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).
Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).
So at the point, it won't be too hard to find the correct region.
To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.
(2x - y)(4x2 + 2xy + y2) =
8x3 + 4x2y + 2xy2 - 4xy2 - 2xy2 - y3 (combine and simplify like terms)
= 8x3 - y3
Carol's Steakhouse, the total cost of serving 150 customers per day is $900. Carol is interested in increasing her business, but is concerned about the effect on marginal cost.
Carol successfully increases her business to 200 customers per day. However, her total cost for doing so is 50% greater than the expected $1,600. What percent greater is the actual marginal cost than the expected marginal cost, to the nearest full perc
Answer:
214
Step-by-step explanation:
We have been given
C1 = $900
Q1 = 259
Then c2 = $1600
Q2 = 200
M = 1600-900/50
= 14
For real,
C1 = 900
C2 = 2400
Q1 = 150
Q2 = 50
1500/50 = 30
30/14 x 100
= 214
It is greater by 214 percent
That would be
f(x) = (x - 2)(x - 3)(x + 3)
expanded this is f(x) = (x - 2)(x^2 - 9)
= x^3 - 2x^2 - 9x + 18
Simple, y can be anything. Because you have no other variable on the other side to use; y can be whatever you want to plug-in to the equation.
