Now, analyze the following charts and answer the questions that follow, 1
Weight (x pounds)
2
3
12
Cost (y dollars)
4
8
• Does this chart show direct proportion?
YES NO
4.
• What is the unit rate?
• What is the constant (k)?
• Write the constant of proportionality in the two equations that we
discussed (y/x-k
AND y = kx)

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

∡ eia and ∡ kij are congruent

step-by-step explanation:

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.