Joseph took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.10 plus $2 per mile. The total fare was $21.10, not including the tip. Write
and solve an equation which can be used to determine m, the number of miles in the
taxi ride.

$21.10=3.10+2m.

Step-by-step explanation:

If the total fare was $21.50, then that is what it will all have to equal out to.

They charged a pick-up fee of $3.10. Which means that no matter how far you go, you will pay that. Then an extra $2 per mile. If m is mile, then it would be 2m because it is $2 per extra mile. Then add the pick-up fee of $3.10 and you will get your answer of $21.50=3.10+2m.

21.10=3.10+2x

x=9

Step-by-step explanation:

21.10 is y

21.10=3.10+2x

Subtract 3.10 from both sides

18=2x

Divide by 2 on both sides

9=x

x=9

(x - 12)(x² - 2)

Step-by-step explanation:

Given

x³ - 12x² - 2x + 24 ( factor the first/second and third/fourth terms )

= x²(x - 12) - 2(x - 12) ← factor out (x - 12) from each term

= (x - 12)(x² - 2)