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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the answer is 0.071

good luck! : d

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: