IDNLearn.com offers a collaborative platform for sharing and gaining knowledge. Our experts provide timely and precise responses to help you understand and solve any issue you face.

the volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool

Sagot :

Answer:

[tex]Height = x - 5[/tex] --- one of the dimension

Step-by-step explanation:

Given

[tex]Volume = 4x^3 - 20x^2 + 3x - 15[/tex]

Required

The side dimension

Factorize the given expression

[tex]Volume = 4x^2 (x- 5) + 3(x - 5)[/tex]

Factor out x - 5

[tex]Volume = (4x^2 + 3)(x - 5)[/tex]

Volume is the product of base area and height'

Hence:

[tex]Area = 4x^2 + 3[/tex]

[tex]Height = x - 5[/tex]

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.