+0  
 
+5
379
2
avatar

y^3 = 4x^2

If x is doubled, by what factor does y increase?

Guest Jan 20, 2016

Best Answer 

 #2
avatar+18829 
+10

y^3 = 4x^2

If x is doubled, by what factor does y increase?

 

\(\begin{array}{lcll} \boxed{~ \begin{array}{lcll} y^3 &=& 4\cdot x^2 \end{array} ~} \end{array}\\ \begin{array}{rcll} \\ (y\cdot f)^3 &=& 4\cdot (2x)^2 \\ y^3\cdot f^3 &=& 4\cdot 4 \cdot x^2 \qquad & | \qquad 4 \cdot x^2 = y^3\\ y^3\cdot f^3 &=& 4\cdot y^3\\ f^3 &=& 4\\ \mathbf{f} &\mathbf{=}& \mathbf{\sqrt[3]{4}}\\ \end{array}\\\)

 

laugh

heureka  Jan 20, 2016
Sort: 

2+0 Answers

 #1
avatar+81014 
+5

.................................................

CPhill  Jan 20, 2016
edited by CPhill  Jan 20, 2016
 #2
avatar+18829 
+10
Best Answer

y^3 = 4x^2

If x is doubled, by what factor does y increase?

 

\(\begin{array}{lcll} \boxed{~ \begin{array}{lcll} y^3 &=& 4\cdot x^2 \end{array} ~} \end{array}\\ \begin{array}{rcll} \\ (y\cdot f)^3 &=& 4\cdot (2x)^2 \\ y^3\cdot f^3 &=& 4\cdot 4 \cdot x^2 \qquad & | \qquad 4 \cdot x^2 = y^3\\ y^3\cdot f^3 &=& 4\cdot y^3\\ f^3 &=& 4\\ \mathbf{f} &\mathbf{=}& \mathbf{\sqrt[3]{4}}\\ \end{array}\\\)

 

laugh

heureka  Jan 20, 2016

14 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details