Abakery made 26 cherry pies, using 115 cherries for each pie. they threw away 36 cherries that were bad. if they used all the cherries they had, how many cherries did they start with?

The bakery start with 2954 cherry

Solution:

Given that,

A bakery made 26 cherry pies, using 115 cherries for each pie

So they used 115 cherry for each pie

26 cherry pies, 115 cherry per pie

Therefore,

Number of cherries used = 26 x 115 = 2990 cherries used

They threw away 36 cherries that were bad

36 cherry were bad

2990 - 36 = 2954

Thus they start with 2954 cherries

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.