It takes a plane two hours to fly from detroit to new york and only an hour and thirty minutes to return. if the wind speed is 25 mph. how far apart are the two cities?

d=distance in miles   a= plane's airspeed in mi/hr

d=2(a-25)=1.5(a+25)

2a-50=1.5a+37.5

0.5a=87.5

a=175mi/hr

Plug 175 into the expression above:

2(175-25)=2*150=300

d=300 miles

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."