Question

Determine whether the ordered pair is a solution for the given inequality. Write yes or no. y<0.2x2+9x7,(10,63)y<-0.2 x^{2}+9 x-7,(10,63)

Solution

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Answered 2 years ago
Answered 2 years ago
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Given statement\textit{statement}:

y<0.2x2+9x7, (10,63)\boxed{y<-0.2x^2+9x-7, \ \left(10,63\right)}

To test this statement\textit{statement}, we will plug in x=10x=10 and y=63y=63 into this inequality\textbf{inequality}.

y<0.2x2+9x763<0.2(10)2+99763<0.2100+90763<63\begin{align*} y<-0.2x^2+9x-7 \to 63 < -0.2\cdot\left(10\right)^2 + 9\cdot 9 - 7 \to 63 < -0.2\cdot 100 + 90 - 7 \to 63 <63 \end{align*}

Since we did not get a valid statement, the answer is No\textbf{No}.

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