Acube has side length x. one side of the cube is increased by 4 inches, and another side is doubled. the volume of the new rectangular prism is 450 cubic inches. the equation 2x3+8x=450 can be used to find x. what was the side length of the original cube? use a graphing calculator and a system of equations to find the answer.4 inches 5 inches 9 inches 10 inches

Let

x-------> the length side  of the original cube

we have

Divide by both sides

The system of equations is equal to

--------> equation

--------> equation

using a graphing tool

see the attached figure  

we know that

the solution of the system of equations is the intersection both graphs

therefore

the solution is

therefore

the answer is

The side length of the original cube on factorizing the cubic expression is 5 inches: Option B is correct

Given the equation that represents the given statement expressed as:

To get the value of x, we will need to factorize the given polynomial as shown:

Divide both sides by 2

Using the cubic formula, the value of x is 5inches

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solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.