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andrew-mc [135]
3 years ago
8

What's The Answer??????????????????

Mathematics
1 answer:
Yuri [45]3 years ago
7 0
f(x) =  \dfrac{x}{2} - 2

g(x) = 2x^2 + x - 3

(f + g)(x) =  \dfrac{x}{2} - 2+ 2x^2 + x - 3

(f + g)(x) = 2x^2 + \dfrac{3}{2}x - 5
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The points will be on the same line if they have the same slope. Calculate the slope of each pair. If the slopes are the same, then they lie on the same line.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{3-2}{1-4} = \frac{1}{-3} = -\frac{1}{3}

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{-2-4} = \frac{2}{-6} = -\frac{1}{3}

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-3}{-2-1} = \frac{1}{-3} = -\frac{1}{3}

The slope is the same.

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