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carlos traveled a distance of 8x^2-2x-1 kilometer at a rate of 4x+1 kph. write a polynomial that represents the number of hours traveled.

Sagot :

2x-1

Step-by-step explanation:

Formula : r = d/t

T=?

Derive the formula leaving T alone.

T = d/r

[tex]t = (8x {}^{2} - 2x - 1)(4x + 1)[/tex]

Factor out 8x² - 2x -1 to see what we can cancel out.

[tex]t = (2x - 1)(4x + 1)(4x + 1)[/tex]

We can cancel 4x + 1 leaving ( 2x - 1 )

[tex]t = (2x - 1) \: hours[/tex]

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