4 years ago

If x can be any number, how many solutions are there for the equation?

Mathematics

1 answer:

maw [93]4 years ago

8 0

There are many solutions, and that's an understatement. There are actually an infinite number of solutions.

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the length of a rectangle is 3 units shorter than one -third of the width, x. Which expression represents the perimeter of the r

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Step-by-step explanation:

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$\therefore \: length \: of \: rectangle = \frac{1}{3} x - 3 \\ Perimeter \: of \: rectangle = 2(l + w) \\ = 2 \bigg( \frac{1}{3} x - 3 + x \bigg)\\ = 2 \bigg( x + \frac{1}{3} x - 3 \bigg)\\ = 2 \bigg( \frac{3x + x}{3} - 3 \bigg)\\ = 2 \bigg( \frac{4x}{3} - 3 \bigg) \\ = 2 \bigg( \frac{4x}{3} - 3 \bigg) \\ = \frac{2 \times 4x}{3} -2 \times 3 \\ \purple{ \bold{{Perimeter \: of \: rectangle = \frac{8}{3} x - 6}}}$