Use the cards below to create a list of steps, in order, that will solve the following equation. 3(x+6)^2=75

Step-by-step explanation:

divide both side by 3

3(x+6)²/3=75/3

(x+6)²=25

taking sq root both side

√(x+6)²=√25

x+6=5

subtract 6 both side

x+6-6=5-6

x= -1

or

Step-by-step explanation:

Equation given:

Divide both sides by 3    

Take the square root both sides

Subtract 6 from both sides

You probably expected that, but consider:

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.