For this case we have the following expression:
414x - 812y - 414x
Rewriting we have:
414x - 414x - 812y
We group similar terms:
(414x - 414x) - 812y
Adding we have:
0 - 812y
- 812y
Answer:
The sum of a number and its opposite is 0, and the sum of any number and 0 is the number itself.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
solve for y


The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept is the point 
The x-intercept is the point 
----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept is the point 
The x-intercept is the point 
Using a graphing tool
The solution of the system of inequalities in the attached figure

Step-by-step explanation:

The width is 8 cm . Because the rules to calculate the width that have length and area is take area divide the length . So you take 96 cm : 12 cm = 8 cm .
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and 
- The composite function c(n(h)) is

- The value of c(n(100)) is

- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:

This gives


The function for number of systems is:


<u>(b) Function c(n(h))</u>
In (a), we have:


Substitute n(h) for n in 

Substitute 


<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:



<u>(d) Interpret (c)</u>
In (c), we have: 
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at:
brainly.com/question/10830110