Write the quadratic equation in standard form that
has roots x= 0 and x = 6/5

A quadratic equation that has roots x=0 and x=6/5 can be derived by

(x-0)(x-6/5) = 0

x(x-6.5)= 0

x^2 - 6.5x =0

To get it in its standard form,  you need to complete the square of the quadratic function aka get it in the form of x^2+ 2ax+ a^2.

x^2 -6.5x + (-6.5/2)^2 - (-6.5/2)^2=0

(x- 6.5/2)^2 - (-6.5/2)^2=0

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: