John is a Furniture maker the graph shows the number of chairs John makes in the time it takes to make that many chairs how many hours will it take for John to make 30 chairs

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awesomegrill

11.08.2022

Mathematics

Distribute $3x$ into $(x-a)$ . $\begin{aligned} 3x(x-a)+x& =3x^2-5x \\ 3x^2 - a3x + x & = 3x^2 - 5x \end{aligned}$ subtract $3x^2$ from both sides. $\begin{aligned} 3x^2 - a3x + x & = 3x^2 - 5x \\ - a3x + x & = -5x \end{aligned}$ subtract $x$ from both sides. $\begin{aligned} - a3x + x & = -5x\\ - a3x & = -5x -x \\ - a3x & = -6x \end{aligned}$ divide both sides by $-3x$ $\begin{aligned} - a3x & = -6x \\ \frac{a(-3x)}{-3x} & = \frac{-6x}{-3x} \\ a & = 2 \end{aligned}$ a = 2

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