In the Texas House of Representatives, 50 legislators were surveyed in regard to an upcoming vote on the budget. The results of their survey are shown below. Voter Category

Number of Voters

Opposed

8

Neutral

22

Favor

20

1. Explain in detail how you would find the percent of legislators who will vote in favor based on the information in the table.

2.Based on the information in the table, what percentage of the legislators will vote in favor?

3. Explain how you would use the information in Question #2 to predict the final vote of the entire 150 member House of Representatives.

4. A 67% approval is needed to pass the budget. How many of the 150 members of the Texas House of Representatives would need to vote in favor to pass the budget?

the answer is b

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.

the answer to your question is minor arc.