NEED HELP FAST 15 POINTS
2 answers:
Answer:
Given system of inequalities,
-2x + 3y > 3,
4x - 3y < 15,
Graphing -2x + 3y > 3 :
Related equation of line -2x + 3y = 3,
If x = 0,
-2(0) + 3y = 3 ⇒ 3y = 3 ⇒ y = 1,
If y = 0,
-2x + 3(0) = 3 ⇒ -2x = 3 ⇒ x = -1.5,
'>' represents the dotted line,
Join the points (0, 1) and (-1.5, 0) by dotted line.
For (0, 0), -2(0) + 3(0) > 3 ( False )
Shaded region will not contain the origin.
Graphing 4x - 3y < 15 :
Related equation of line 4x - 3y = 15
If x = 0,
4(0) - 3y = 15 ⇒ -3y = 15 ⇒ y = -5,
If y = 0,
4x - 3(0) = 15 ⇒ 4x = 15 ⇒ x = 3.75,
'<' represents the dotted line,
Join the points (0, -5) and (3.75, 0) by dotted line.
For (0, 0), 4(0) - 3(0) < 3 (True )
Shaded region will contain the origin.
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Answer:
Step-by-step explanation:
Comment
There are a number of ways of doing this problem. I don't know which method you are intended to use. One sure way in this case is graphing the equation, I have done this for you. See below. The maximum volume occurs where x = 2
The graph shows that there is a peak at x = 2. That is where the maximum volume is,
Answer
x = 2
