What objects need to have a slope? What objects need no slope? (These are your arguable claims.) Why do these objects have the slope they do? (logical reason) Do you have any personal experience with these objects? If so, describe how this supports your claim. (evidence) How would your experiences have changed if the slopes were altered? Using your learning experiences in this unit, would you categorize your objects or situations as positive, negative, or zero slopes? Why?

the height of the surface increases from the center out to the sides of the road

it is c!

i'm a sophomore in connections, i'd recommend checking on jishka.com they have a large range of questions and answers from our school.

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.