A sports company conducted a road test of a new model of a geared bike. the test rider cycled (3x − 2) miles on a flat road, (x2 − 5) miles uphill, and (2x 7) miles downhill. which simplified expression is equivalent to the total distance, in miles, for which the bike was tested? x2 − x x2 5x x2 − x 14 x2 5x 14

Respuesta :

The simplified equation equivalent to the total distance in miles is given as,

[tex]x^{2} +5x[/tex]

What is the equation representing the total distance?

It is given that in a road test of a geared bike,

The distance covered on a flat road = (3x - 2)

The distance covered uphill = (x² - 5)

The distance covered downhill = (2x + 7)

Total distance covered in miles as equation,

(3x - 2) + (x² - 5) + (2x + 7)

= 3x - 2 + x² -5 + 2x + 7

= 5x - 7 + x² + 7

= x² + 5x

Thus, the final equation representing the total distance covered in miles by the bike is (x² + 5x)

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