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
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)|)))#
