A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of people who will respond favorably to the survey? Enter the correct answers in the boxes.

Least number of people:

Greatest number of people:

BIG POINTS ILL MARK YOU IF THE ANSWER IS RIGHT

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Step-by-step explanation:

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140

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.