Name four values of b which make the expression factorable:
x^2 - 3x + b

2, -4, -10 and -18.

Step-by-step explanation:

The given expression is

     ...(i)

We need to find the 4 values of b which make the expression factorable.

A polynomial is factorable if both roots are real.

If are two real roots of a polynomial, then the polynomial is defined as

        ....(ii)

From (i) and (ii), we get

    ...(iii)

For equation (iii), possible pairs of are (2,1), (4,-1), (5,-2) and (6,-3).

From these ordered pairs the values of b are

Therefore, the four possible values of b are 2, -4, -10 and -18.

your answer is 23/2 - 13.5

step-by-step explanation:

7/2 evaluates to

multiply x and 4.5

multiply x and 1

the x just gets copied along.

the answer is x

x

4.5*x evaluates to 4.5x

multiply 3 and 4.5x

multiply 1 and x

the x just gets copied along.

x

4.5*x*3 evaluates to 13.5x

7/2-4.5*x*3 evaluates to

  + 8 =

the answer is

7/2-4.5*x*3+8 evaluates to

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.