Question

100 points. Will Give Brainliest. To decorate for a party, Rob and Loretta were each given a bag of balloons. There were 40 balloons between both bags. Rob used 8 balloons from his bag, and Loretta used 8 balloons from hers. The product of the number of balloons left in each bag is no more than 44.

Let x represent the number of balloons that Rob had in his bag before he used any. Which choice represents the number of balloons left in their bags?

A. x^2-40x=300

B. x^2-40x+300>=0

C. x^2-40x-300<0

D. x^2-40x-300=0

If Rob originally had more balloons than Loretta, what is the least number of balloons that Rob could have had before using any?

A. 10

B 20

C.30

Answer 1

Last one absolutely(We need quadratic inequality here)

Let's check again for confirmation

$\\ \rm\rightarrowtail x^2-40x+300>=0$

$\\ \rm\rightarrowtail x^2-30x-10x+300=0$

$\\ \rm\rightarrowtail (x-30)(x-10)>=0$

$\\ \rm\rightarrowtail x>=30,10$

So

Solution range

• [10,30]

Hence

• Rob has 30 atleast