How do you write a general formula to describe each variation if T varies jointly with the cube root of x and the square of d; T=18 when x=8 and d=3?

1 Answer
Sep 6, 2017

Answer:

#T=d^2root(3)(x)#

Explanation:

#"the initial statement can be expressed as"#

#Tpropd^2root(3)(x)#

#"to convert to an equation multiply by k the constant"#
#"of variation"#

#rArrT=kd^2root(3)(x)#

#"to find k use the given condition"#

#T=18" when "x=8" and "d=3#

#T=kd^2root(3)(x)rArrk=T/(d^2root(3)(x))=18/(9xx2)=1#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(T=d^2root(3)(x))color(white)(2/2)|)))#