a student in chm 11500 lab measured the mass of a 250-ml erlenmeyer flask and recorded it as 79.83 g. she added 10.00 ml of deionized water from a 25-ml buret to the flask. the mass of the flask plus the water was 89.82 g. the temperature of the water was 22 °c. what is the calculated volume of the water that the student measured?

answer: 20

step-by-step explanation:

answer: (3,11) is your answer.

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.