To solve the equation |x-12|=0.5x kiana graphed the functions f(x)=|x-12| and g(x)=0.5x on the same set of coordinate axes. she then found that the graphs intersected at the points (8,4) and (24,12) finally she concluded that the solutions of the equation |x-12|=0.5x are x=8 and x=24 which of the following reasons best justifies kiana's conclusion?

a) f(4)= g(12) and f(12)= g(4)
b) f(8)= g(24) and f(24)= g(8)
c) f(8)= g(8) and f(24)= g(24)
d) f(4)= g(4) and f(12)= g(12)

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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