Вопрос:

Match the graphs with their corresponding equations.

Ответ:

Okay, I will help you match the graphs with their equations. Let's analyze each case individually. Case 1: The graphs A, Б, and В resemble hyperbolas. We need to determine which equation corresponds to each graph. * Equation 1: $$y = -\frac{1}{3x}$$ * Equation 2: $$y = \frac{3}{x}$$ * Equation 3: $$y = -\frac{3}{x}$$ Graph A is in the 1st and 3rd quadrant so $$y = \frac{3}{x}$$ Graph Б is in the 1st and 3rd quadrant so $$y = \frac{3}{x}$$ Graph B is in the 2nd and 4th quadrant so $$y = -\frac{3}{x}$$ Looking at the provided graphs and equations, let's match them: * Graph A: Equation 2 ($$y = \frac{3}{x}$$) * Graph Б: The graph appears to be in the 2nd and 4th quadrants. The curve seems similar to $$y = -\frac{1}{3x}$$ which matches with equation 1. * Graph B: Equation 3 ($$y = -\frac{3}{x}$$) Case 2: * Equation 1: $$y = \frac{6}{x}$$ * Equation 2: $$y = \frac{1}{6x}$$ * Equation 3: $$y = -\frac{6}{x}$$ * Graph A: Equation 1 ($$y = \frac{6}{x}$$) * Graph Б: Equation 2 ($$y = \frac{1}{6x}$$) * Graph B: Equation 3 ($$y = -\frac{6}{x}$$) Case 3: * Equation 1: $$y = \frac{8}{x}$$ * Equation 2: $$y = -\frac{1}{8x}$$ * Equation 3: $$y = -\frac{8}{x}$$ * Graph A: Equation 1 ($$y = \frac{8}{x}$$) * Graph Б: Equation 2 ($$y = -\frac{1}{8x}$$) * Graph B: Equation 3 ($$y = -\frac{8}{x}$$) Case 4: * Equation 1: $$y = \frac{1}{9x}$$ * Equation 2: $$y = \frac{9}{x}$$ * Equation 3: $$y = -\frac{9}{x}$$ * Graph A: Equation 1 ($$y = \frac{1}{9x}$$) * Graph Б: Equation 2 ($$y = \frac{9}{x}$$) * Graph B: Equation 3 ($$y = -\frac{9}{x}$$)
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