Dyingontheinside Dyingontheinside

01-06-2018
Mathematics

contestada

The volume of the rectangular prism is 60x^3 + 145x^2 + 70x. Factor to find the possible expressions for length, width and height of the prism.

Respuesta :

02-06-2018

The volume of the rectangular prism:
[tex]V=length\cdot width\cdot height=lwh[/tex]

[tex]60x^3 + 145x^2 + 70x=5x(12x^2+29x+14)\\\\=5x(12x^2+21x+8x+14)=5x[3x(4x+7)+2(4x+7)]\\\\=5x(4x+7)(3x+2)\\\\Answer:\\length=5x\\width=4x+7\\height=3x+2[/tex]

Answer Link

Otras preguntas

Which description of the plain text file format is most accurate? 1 uses binary code to store data 2 can only be opened with special software 3 supports text f

What is the value of x?

Problem situation: Caren is making rice and beans. She can spend no more than $10 on ingredients. She buys one bag of rice for $4.99. Beans cost $0.74 per pou

If I make a solution by adding 83grams of sodium hydroxide to 750mL I’d water what is the molarity of sodium hydroxide

twelve less than a number is at most 20

How many solutions does the nonlinear system of equations graphed below have? A. One B. Zero C. Four D. Two

A refrigeration system at your company uses temperature sensors fixed to read Celsius (°C) values, but the system operators in your control room understand only

Do you think a travel organization company might be able to get less expensive airline tickets then you as an individual could get? (No less then 25 words)

Which verb conjugation best completes this sentence! — Tú__ pesas los sábados. A: levanta B: caminas C: levantas D: camina

What is the number of moles in 15.0 g AsH3?