geno3141

9b² + 48b + 64

There are two sets of factors for 9:  9 and 1, 3 and 3

There are many sets of factors for 64: 64 and 1, 32 and 2, 16 and 4, 8 and 8

Because both of the signs are positive both groups must contain a plus sign.

Try the easiest first:  (3b + 8)(3b + 8)

Since the middle two multiply to 24b and the outside two multiplfy to 24b and they sum to 48b, we found it!

What was the original problem that led you to get this expression?

The cube root of 64 is 4 (because 4x4x4 = 64).

The cube root of 125 is 5 (because 5x5x5 = 125).

So, all the numbers between 64 and 125 have a cube root between 4 and 5.

Replacing x witn -6:

     -6  =  y² - 5y                               

      0  =  y² - 5y + 6                         (add 6 to both sides)           

      0  =  (y - 3)(y - 2)                       (factor)

               y = 3    or   y = 2

What is the question?

7^(-2)  =  1 / 7²

The negative sign in the exponent means that the number is in the wrong location (numerator or denominator).

12^-4  =  1 / 12^4

and:  1 / [3^-5]  =  3^5

If the function is:            y  =  -3,24x² + 242.1x - 738.4

                        y + 738.4  =  -3,24x² + 242.1x                                 (move the constant to the other side)

                        y + 738.4  =  -3,24(x² - 1345/18x          )                  (factor out -3.24)

y + 738.4 + 1809025/1296 =  -3,24(x² - 1345/18x + 1809025/1296)   (complete the square)

            y + 4443319/2160  =  -3.24(x - 1345/36)²                             (factor)

Vertex( 1345/36, -443319/2160) 

Percentage = Part / Total x 100

Percentage = 36 / 150 x 100  =  24%

If it's an arithmetic sequence, the sum is:  S = N(F + L)/2

    where:          S = Sum          N = Number of Terms         F = First Term          L = Last Term

S = 13(14 + 79)/2  =  604.5     <---- Provided that it is an arithmetic sequence.

230, 000, 000, 000   (in the United States)