Parallel lines
1 answer:
You might be interested in
I added a screenshot with the complete question.
Answer:
5 hours
Explanation:
We are given that:
Revenue equation:
y = 420 + 72x
Overhead equation:
24x² + 180
We are asked to get the break-even point which is calculated by equating the revenue to the overhead cost.
This can be done as follows:
revenue = overhead cost
420 + 72x = 24x² + 180
24x² + 180 - 420 - 72x = 0
24x² - 72x -240 = 0
(x-5)(x+2) = 0
either: x-5=0 ..........> x = 5 hours (accepted value)
or: x+2=0 .......> x = -2 hours (rejected value as time cannot be negative)
Based on the above:
break-even occurs at 5 hours
Hope this helps :)
Answer:
5 hours
Explanation:
We are given that:
Revenue equation:
y = 420 + 72x
Overhead equation:
24x² + 180
We are asked to get the break-even point which is calculated by equating the revenue to the overhead cost.
This can be done as follows:
revenue = overhead cost
420 + 72x = 24x² + 180
24x² + 180 - 420 - 72x = 0
24x² - 72x -240 = 0
(x-5)(x+2) = 0
either: x-5=0 ..........> x = 5 hours (accepted value)
or: x+2=0 .......> x = -2 hours (rejected value as time cannot be negative)
Based on the above:
break-even occurs at 5 hours
Hope this helps :)
Answer:
The value of x = 3.
Step-by-step explanation:
The ratio between length and width is given by:
Where:
- L represents the new length
- W represents the new width
Now, we know that each dimension is reduced by x inches, it means:
Then, we will have:
Finally, we just need to solve it for x.
<u>Therefore, the value of </u><u>x = 3.</u>
I hope it helps you!