He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get to the end of the trail

Respuesta :

Answer:

[tex]10x^2-x+3[/tex] miles.

Step-by-step explanation:

It is given that,

Total length of park trail = [tex]10x^2+4x+2[/tex] miles

Total length traveled by hiker = [tex]5x-1[/tex] miles

We need to find the length of trail hiker need to travel to get to the end of the trail.

Required length [tex]=10x^2+4x+2-(5x-1)[/tex]

               [tex]=10x^2+4x+2-5x+1[/tex]

               [tex]=10x^2+(4x-5x)+(2+1)[/tex]

               [tex]=10x^2-x+3[/tex]

Therefore, hiker need to travel [tex]10x^2-x+3[/tex] miles to get to the end of the trail.