Answer:
30,000
Step-by-step explanation:
What I did was 6 divided by 100 and I got 0.06 times the the 500,000 and got 30,000 so your answer should be 30,000. Hope this helps and let me know if I'm wrong. have a great day!
Step-by-step explanation:
Take the first derivative
![\frac{d}{dx} ( {x}^{3} - 3x)](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28%20%7Bx%7D%5E%7B3%7D%20%20-%203x%29)
![3 {x}^{2} - 3](https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20-%203)
Set the derivative equal to 0.
![3 {x}^{2} - 3 = 0](https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20-%203%20%3D%200)
![3 {x}^{2} = 3](https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20%3D%203)
![{x}^{2} = 1](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%201)
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
or
![x = - 1](https://tex.z-dn.net/?f=x%20%3D%20%20-%201)
For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function
![( - 1) {}^{3} - 3( - 1) = 2](https://tex.z-dn.net/?f=%28%20-%201%29%20%7B%7D%5E%7B3%7D%20%20-%203%28%20%20-%201%29%20%3D%202%20)
So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function
![{1}^{3} - 3(1)](https://tex.z-dn.net/?f=%7B1%7D%5E%7B3%7D%20%20%20-%203%281%29)
![1 - 3 = - 2](https://tex.z-dn.net/?f=1%20-%203%20%3D%20%20-%202)
So the local min occurs at -2, at x=1
The zeroes ( where the graph cuts the x axis) ar (-2,0) AND (2,0)
tHE FACTOrIAL FORM IS (x - 2)(x + 2)
Its B
Answer:
Option B. No, because the graph of the line connecting the ordered pairs does no pass through the origin.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line<u><em> and the line passes through the origin</em></u>
step 1
Connect the ordered pairs of the graph
The y-intercept is the point (0,20)
see the attached figure
That means, that the line not passes through the origin
therefore
The relationship between the two quantities is not proportional