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The number of prisoners held in federal and state prisons, measured in thousands, can be described by the polynomial $-2.08 x^{2}+78.46 x+742$. The variable $x$ represents the number of years since 1990 . Estimate the number of prisoners in 1990.

The prison population in 1990 was $\square$.

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Answer

The prison population in 1990 was \(\boxed{742}\) thousand.

Steps

Step 1 :The question is asking for the number of prisoners in 1990. Since the variable $x$ represents the number of years since 1990, we can substitute $x=0$ into the polynomial to find the number of prisoners in 1990.

Step 2 :Substitute $x=0$ into the polynomial $-2.08x^{2} + 78.46x + 742$ to get the number of prisoners in 1990.

Step 3 :The prison population in 1990 was \(\boxed{742}\) thousand.

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