Based on the array, which statements accurately
2 answers:
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<h3>Answer: 140625 </h3>
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Explanation:
Replace every copy of "w" with "x"
So the function we graph is y = (1500-2x)*x/2
I used GeoGebra to make the graph below. Note the scale on the xy axis. In this case, x is incrementing by 100 while y is incrementing by 50,000. The scale is important so you have a good viewing window. You don't have to have this scale exactly, but something close to it should do the trick. Without the proper scale, you probably won't see the curve at all. You may see a straight line instead, or it may appear completely blank.
You can use Desmos to make the graph. Just keep in mind the scale of course.
Once you have the graph set up, use the max feature of your graphing calculator or graphing software to locate the vertex point. In GeoGebra, the function I used is "Max". I typed in Max(f, 0, 800) where f is the function mentioned earlier. With Desmos, you simply need to click on the curve itself to have the max point show up. Click on the vertex point to have the coordinates listed.
The max point is located at A = (375, 140625) as shown in the diagram below. The x coordinate is the value of "w" that we replaced earlier. So a width of w = 375 feet corresponds to the max area of 140625 square feet.
Side note: later on in your math career, you have the option to use calculus to solve a problem like this. Though for now, we can rely on a graphing calculator to get the job done quickly.
Answer:
Step-by-step explanation:
First you need to put the equation in slope intercept form.
y = mx + b (m = slope and b = y-intercept)
5x + 2y = 12 (subtract 5x)
2y = -5x + 12 (now you need to isolate y. Therefore, divide all by 2)
y = -5/2x + 6
Now you have your slope and y-intercept. Your y-intercept will be 6. So on the graph you need to begin at 6 on the y-axis <em>(the line that goes up and down)</em>. Make your first point there. Your slope is the -5/2x. Slope is looked at as rise/run. This means from your point at 6, you will go down <em>(down because it's negative. If it was a positive, you would go up, i.e rise)</em> 5 units. Then you will go over to the right 2 units <em>(to the right because it is positive. Only the top one will be negative.)</em> Place your point once you have done that. Then draw a line between those two points.
<u>(note that on my screenshot, the tiny squares do </u><u>not</u><u> equal 1 unit. The larger ones with the bunch of tiny squares inside equal 1 unit)</u>
I hope this helped :)
