A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation x cubed + 6 x squared minus 27 x = 140 can be used to find x. A bag has a height of x + 9 inches, a width of x minus 3 inches, and a length of x inches. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. The length is 7 inches, the width is 4 inches, and the height is 16 inches. The length is 5 inches, the width is 2 inches, and the height is 14 inches. The length is 4 inches, the width is 1 inch, and the height is 13 inches. The length is 3 inches, the width is 0 inches, and the height is 12 inches.

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Step-by-step explanation:

i just know

Step-by-step explanation:

For this case we have the following equation for the volume:

x ^ 3 + 6x ^ 2-27x = 140  

Rewriting the equation we have:

x ^ 3 + 6x ^ 2-27x-140 = 0  

We factor the equation to find the roots of the polynomial.

We have then:

(x-5) (x + 4) (x + 7) = 0  

Then, we discard the negative roots, because the dimensions of the figure must be positive.

We have then that the length is:

x = 5  

The height is:

x + 9 = 5 + 9 = 14  

The width is:

x-3 = 5-3 = 2  

Thus, the dimensions are:

5 * 14 * 2  

The length is 5 inches, the width is 2 inches, and the height is 14 inches.

the answer is a

step-by-step explanation:

the answer is y = 11.54

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