On Saturday, Dimitri spent Four-sixths of an hour working on his project for school. On Sunday he spent Two-sixths of an hour, on Monday he spent One-sixth of an hour, and on Tuesday he spent Five-sixths of an hour working on the project. On which day did he spend the greatest amount of time working on the project? A number line from 0 to 1. There are 5 unnumbered points between 0 and 1.

Saturday
Sunday
Monday
Tuesday

9x

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512

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.