Afarmer drafts his garden on a scale drawing. the drawing scale is 8 inches for every 30 m. if the actual garden is 30 m long, how long is the drawing?

Proportion states that the two ratios or fractions are equal.

As per the given statement:

A farmer drafts his garden on a scale drawing.

The drawing scale is 8 inches for every 30 m and the actual garden is 30 m long.

then by definition of proportion

we have;

Multiply both sides by 30 we get;

Therefore, 8 inches long is the actual drawing.

idk

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.