Graph the system below and write its solution.
1 answer:
Answer:
See the graph attached. It has one solution: (6,-4)
Step-by-step explanation:
The slope-intercept form of a line is:
Where m is the slope and b is the intersection of the line with the y-axis.
Given the first equation
You can identify that:
b=-1
Substitute y=0 to find the intersection with the x-axis
This line passes through the points (0,-1) and (-2,0)
Given the second equation:
Solve for y:
It passes through the point (0,-4).
Now, you can graph. See the figure attached.
It has one solution,which is the point of intersection of both lines: (6,-4)
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Answer:
Step-by-step explanation:
Let's define some notation first :
w= width , l = length , A= Area, P perimeter
For this case we want to maximize the Area given by this function:
A= l w (1)
With the following restriction P=500 ft
We know that the perimeter on this case is given by:
Since they are using the creek as one side.
So then we have this:
(2)
Now we can solve w in terms of l from eqaution (2) and we got:
(3)
And we can replace this condition into equation (1) like this:
And we can maximize this function derivating respect to l and we got:
And then we got that
And if we solve for w from equation (3) we got:
And then the dimensions would be:
And the area would be: