Bob has 120 beads
the beads are either red or green
bob gives 3/4 of the beads to his friend
2/3 of the beads bob now had are red
work out how many green beads bob now has

Bob has 10 green beads you can show this by dividing 120 by 4 and that then leaves 30 beads which is 1/4 of the original amount of beads. Now knowing that Bob has 30 beads you put it into an equation with x over 30 equal to 2/3 that then makes you able to see that if you multiple the denominator by 10 you get 30 so you do the same to the numerator causing x to be 20 and that is the amount of the red beads leaving 10 beads to be green.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

The density of the cube is 40