One of the dimension of a cube in increased by 2 inch to form a rectangular ... Block. Suppose that the volume of the cube 200 cubic inch

Complete question :

One of the dimension of a cube in increased by 2 inch to form a rectangular ... Block. Suppose that the volume of the cube 200 cubic inch. Find the length of an edge of the original cube

5.252 inch

Step-by-step explanation:

Let the measure of the edge = x

Volume of a cube = x³ (original volume)

If one of the edges is increased by 2 inches ;

x * x * (x + 2) = 200

x² + (x + 2) = 200

x³ + 2x² = 200

We find a rational root or we use guess and trial method to arrive at a quick answer :

Here, we could guess that that x is just marginally above 5

.using the value 5.252 as x

5.252^3 + 2(5.252^2) = 200.035

Hence, we can conclude that the edge of the original cube is 5.252

can someone answer this question plz

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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