SOLUTION: REP makes and sells TV satellite dishes. The broadcast companies give them the machining specifications for the best possible signal collection. Their production machine is progr

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Question 194474: REP makes and sells TV satellite dishes. The broadcast companies give them the machining specifications for the best possible signal collection. Their production machine is programmmed to form each dish using the function:
+y+=+%28-2%2F225%29+x%5E2++%2B+50+ for y-values greater than 0
If the machine is programmmed in centimeters, what are the minimum dimensions of the cardboard box needed to ship each individual dish?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+%28-2%2F225%29+x%5E2++%2B+50+
.
Find y-intercept, set x=0 and solve for y:
+y+=+%28-2%2F225%29+x%5E2++%2B+50+
+y+=+%28-2%2F225%29+0%5E2++%2B+50+
+y+=+50+cm
.
Find x-intercept, set y=0 and solve for x:
+y+=+%28-2%2F225%29+x%5E2++%2B+50+
+0+=+%28-2%2F225%29+x%5E2++%2B+50+
+-50+=+%28-2%2F225%29+x%5E2+
+50+=+%282%2F225%29+x%5E2+
+%2850%2A225%29%2F2+=+x%5E2+
+%2825%2A225%29+=+x%5E2+
+5625+=+x%5E2+
+-75 cm = x
.
Therefore, the dimensions of the box:
150 cm X 150 cm X 50 cm