Solve completely
3x^3-48x^2=0

Two solutions were found :

x = 16

x = 0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (3 • (x3)) -  (24•3x2)  = 0  

Step  2  :

Equation at the end of step  2  :

 3x3 -  (24•3x2)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x3 - 48x2  =   3x2 • (x - 16)  

Equation at the end of step  4  :

 3x2 • (x - 16)  = 0  

Step  5  :

Theory - Roots of a product :

5.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

5.2      Solve  :    3x2 = 0  

Divide both sides of the equation by 3:

                    x2 = 0

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 0  

Any root of zero is zero. This equation has one solution which is  x = 0

Solving a Single Variable Equation :

5.3      Solve  :    x-16 = 0  

Add  16  to both sides of the equation :  

                     x = 16

Two solutions were found :

x = 16

x = 0

Step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

answer: the answer is b. i think hope i got it correct

step-by-step explanation: