Answer:
Step-by-step explanation:
here you go it in there
To determine the marginal cost of the production, one needs to derive the given equation for the cost,
c(x) = 6x4 - 30x3 - 54x2 + x + 2
The derivative of the equation in terms of x is as reflected below.
c'(x) = 24x3 - 90x2 - 108x + 1
Equate the derivative to zero in order to determine the value of x .
c'(x) = 0 = 24x3 - 90x2 - 108 + 1
The value of x from the equation is 4.025.
Substituting x to the original equation,
c(x) = -1254.35 and at c(0) = 2
You can draw lines from the center of the hexagon to the peak. And you can find that this hexagon is divided to 6 parts. Every 60° can the hexagon map onto itself. So at 60,120,180,240,300 and 360 total 6 times.
Answer:
y=1x-10
Step-by-step explanation:
y=1x-10
slope=1
9/9=1
Answer:
Perpendicular means that,second gradient equals to first one as:
![- \frac{1}{m}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7Bm%7D%20)
So,conducting the second equation to the form y=mx+c: 3y= -2x-5
![y = - \frac {2}{3}x - \frac{5}{3}](https://tex.z-dn.net/?f=y%20%3D%20%20%20-%20%5Cfrac%20%7B2%7D%7B3%7Dx%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20)
So it's gradient is
![- \frac{2}{3}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20)
converting to
![- \frac{1}{m}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7Bm%7D%20)
equals to 1.5 or at least
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
Y find the equation of the first line you've got to use the formula: y-y1=m (x-x1)
y-1=1.5 (x+6)
y-1=1.5x+9
<u>y</u><u>=</u><u>1</u><u>.</u><u>5x</u><u>+</u><u>10</u><u> </u>is the equation of the first line.