If the distance traveled is (4s3 - 6s² + 4s + 14) miles and the rate is (s + 1) mph, write an expression, in hours, for the time

Question

KiRa [710]

10 months ago

12

If the distance traveled is (4s3 - 6s² + 4s + 14) miles and the rate is (s + 1) mph, write an expression, in hours, for the time

traveled.

Mathematics

1 answer:

BartSMP [9] · Answer 1 · 2024-08-02T02:00:08+03:00

BartSMP [9]10 months ago

3 0

The equation for time is URM:

$time = \frac{distance}{speed \: (rate)}$

$t(s) = \frac{4s {}^{3} - 6s {}^{2} + 4s + 14}{s + 1} = \frac{2(s + 1)(2s {}^{2} - 5s + 7) }{s + 1} \\ t(s) = 2(2s {}^{2} - 5s + 7) \\ t(s) = 4s {}^{2} - 10s + 14$