2 Graph y = 2/3x - 4
1 answer:
ANSWER:
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EXPLANATION:
This equation is called a slope intercept form. The formula is y=mx+b.
"b" or -4 in this case is the y-intercept. It's where the line meets the y line (vertical line). The "m" or 2/3 is the slope. All slopes are written in y/x.
So, starting from (0, -4), you will go up 2 and go right 3. You will end up at (3, -2). Now, just draw a line through (0, -4) and (3, -2).
Your graph should show up like this:
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Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so
- The length of the fencing is 80 meters, so
Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:
Then substitute for y in the first:
b) To maximize A, find the zero of the first derivative:
So y = (80-40)/2 = 20 meters.