Aman is walking across a 300 foot long field at the same time his daughter is walking towards him from the opposite end. the man is walking at 9 feet per second and the daughter is moving at 6 feet per second how many seconds will it take them to meet somewhere in the middle.

Let distance traveled by father be x feet

then distance traveled by daughter will be 300-x feet

speed = distance / time

and time = distance / speed

Since they both meet at the same time

cross multiplying gives

this gives x= 180 feet

So the distance traveled by father is 180 feet

Now time = distance/ speed

So time taken by father = = 20 seconds.

Hence it will take both of them 20 seconds to meet somewhere in the middle.

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."

4

step-by-step explanation: