Find the missing value to complete the square.

x^2 + 8x + __ = 0

−x^2 − 8x

Step-by-step explanation:

Lets say y is the missing value

Add -x^2 to both sides.

x^2+8x+y+−x^2=0+−x^2

8x+y=−x^2

Add -8x to both sides.

8x + y + −8x = −x^2 + −8x

y = −x^2 − 8x

So the whole equation would be

x^2 + 8x + −x^2 − 8x = 0

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.

853.3

step-by-step explanation: