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The numbers x^3 and y^2 are inversely proportional. If x=2 when y=15, what is y if x=1 and y is positive? Write your answer in simplest radical form.

 Apr 2, 2020
 #1
avatar+111321 
+2

y^2  = k/ x^3

 

15^2 =  k/2^3

 

225 = k / 8

 

225 * 8   =  k

 

1800  = k

 

So

 

y^2  =  1800 / 1^3

 

y^2  = 1800     take the positive root

 

y =  √ 1800  =   √  [ 100 * 9  * 2  ] =       30√ 2

 

 

 

 

cool cool cool

 Apr 2, 2020
 #2
avatar+675 
+5

i agree with CPhill, you're a genius, Chris!!!!

 Apr 2, 2020
 #3
avatar+111321 
0

HAHAHA!!!!!.....far from it   !!!!

 

cool cool cool

CPhill  Apr 3, 2020

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