Respuesta :

songgy

Answer:

Step-by-step explanation:

z varies inversely

so z=a/x^2

9=a/(2/3)^2

9=a/(4/9)

9=9a/4

a=4

z=4/x^2

z=4/(5/4)^2

z=4/(25/16)

z=64/25

raphealnwobi

If z varies inversely as x², it is given by the equation z = 4/x². When x = 5/4, z = 2.56

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

z varies inversely as x². Let k represent the constant of proportionality, hence:

z = k/x²

z = 9 when x = 2/3, hence:

9 = k / (2/3)²

k = 4

z = 4/x²

When x = 5/4:

z = 4 / (5/4)²

z = 2.56

If z varies inversely as x², it is given by the equation z = 4/x². When x = 5/4, z = 2.56

Find out more on equation at: https://brainly.com/question/2972832

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