The Graf family made two pizzas. They ate 1 and 1/8 pizza before watching a movie, and 1/2 pizza more after the movie. What is a reasonable estimate for the amount of pizza left A) Less than 1 1/4
B) More than 1/2
C) Less than 1/3
D) More than 1 1/4

which is less and 1 and 1/4

Step-by-step explanation:

They have 2 pizzas to start

They ate 1 full pizza and then 1/8 of another. This leaves 7/8 left

They then ate another 1/2 of a pizza. (1/2 also is 4/8)

The Lower common domonitor of the the two is 8. To get 8 from the two you multiply by 4.

So you end up with

So now you can subtract and get

which the dominator remains the same and you only subtract 7-4 = 3

So your answer is

it shoild be o

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.