24pateldheer 24pateldheer
  • 17-03-2019
  • Mathematics
contestada

Using the properties of absolute values, simplify the expression x×|x|, if it is known that:
x greater or equal to zero

x is less than zero

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 17-03-2019

Answer:

  • x ≥ 0: x|x| = x²
  • x < 0: x|x| = -x²

Step-by-step explanation:

For x ≥ 0

  |x| = x

so

  x|x| = x(x) = x²

For x < 0

  |x| = -x

so

  x|x| = x(-x) = -x²

Answer Link

Otras preguntas

If light moves from left to right along the x-axis, then the electric field line vibrates along what?? :(
Describe the limitations of using models to represent atoms
Rebecca scored 60 out of 75 in her end of year test. What percentage mark did her teacher give her?
reasons why using mirrors to generate electricity is not a common practice.
Which of the following is incapable of reproducing outside a host cell? -alga -mold - moss -virus
A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration?
What type of lines are  4x + 8y = 10 and  4x - 2y = 21 ?
Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -9x2 + 4x + 9.
What Does Pie Equal if it is not available
Describe the wavelength of a longitudinal wave.