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If x>2 and y>-3 what is the lowest worth of 2x+y^2

 Mar 26, 2020
edited by Guest  Mar 26, 2020
 #1
avatar+1116 
+1

Answer: 4

 

Explanation:

Since x and y do not depend on each other... let's let y=0.

So if y=0, then 2x+0^2=2x.

We should minimize x, so make it 2.

2x with x=2 = 4

 

You are very welcome!

:P

 Mar 26, 2020
 #2
avatar+483 
0

Hey guest! This problem is very non specific in what the value of x can be. As coolstuffYT pointed out, the value of y is minimized at 0(because it's a square term, meaning its either positive or zero). However, the 2x is where things get tricky. Contrary to Coolstuff's answer, the answer is NOT setting x = 2, because the problem clearly defines for us that x > 2, not greater than or equal to. Assuming that the question wants integer values of x and y(it never explicitly says), we set x =3, which gives us:

 

\(2 * 3 + 0^2 = 6\)

.
 Mar 26, 2020
 #3
avatar+1968 
0

Nice, both of you!

CalTheGreat  Mar 26, 2020

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