I only need help with part b!

9514 1404 393

  99

Step-by-step explanation:

b) Use your answer from part (a) to write a ratio equal to 8/3.

  A/B = (7x -5)/(2x +5) = 8/3

  3(7x -5) = 8(2x +5)

  21x -15 = 16x +40

  5x = 55

  x = 11

The total number of counters is 7x+2x = 9x = 9·11 = 99.

There are 99 counters in the two bags.

Additional comment

The original distribution was A=77, B=22. After moving 5, the distribution was A=72, B=27. The ratio 72/27 = 8/3, as required.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.