Solve and check the following equation
-15=5(3q-10)-5q

 q = 7/2 = 3.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*(3*q-10)-5*q-(-15)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (5 • (3q - 10) -  5q) -  -15  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10q - 35  =   5 • (2q - 7)

Equation at the end of step  3  :

 5 • (2q - 7)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    2q-7 = 0

Add  7  to both sides of the equation :

                     2q = 7

Divide both sides of the equation by 2:

                    q = 7/2 = 3.500

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.