8. A plane flew 1,740 km in 6 hours with a tail wind. On the return trip, going into the wind, the
plane flew 570 km in 3 hours. What is the plane's speed if there was no wind? What is the
speed of the wind? Write the system of equations that would be used to solve this problem.

what do u need to know

step-by-step explanation:

answer: 5100 just subtract

step-by-step explanation:

step-by-step explanation:

for volume, add base x height x width

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.