jessica94866
jessica94866 jessica94866
  • 09-03-2019
  • Mathematics
contestada

Rewrite without absolute value for the given conditions:

y=|x−3|+|x+2|−|x−5|, if x>5

y=?

please reply asap and explain please!

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 09-03-2019

Hello from MrBillDoesMath!

Answer:

y = x + 4

Discussion:

As x >5,

x-3  > 5 -3 > 0

x + 2 > 5 + 2 > 0

x -5 > 5 - 5 >=0

So for the given x values each term is positive and  abs(a) = a. That is

y = (x-3) + (x+2) - (x -5)                => note abs(a) replaced by "a"

y = (x + x - x) +   ( -3 +2 + 5)        => -3 + 2 + 5 = 4

y = x + 4

Thank you,

MrB

Answer Link

Otras preguntas

multiply 5/48 times 24/51 in simplest form
What is the answer to nx6=72
A swimming pool, in the shape of a rectangular prism, is 50 meters long, 25 meters wide, and 3 meters deep. A liter is the same as 0.001 cubic meters. How many
What is the answer to nx6=72
What is public opinion, and what factors shape it?
How many centimeters are there in three meters
How many pillars are on the Lincoln memorial?
what is the system of naming species using two words
A tub is shaped like a rectangular solid, with internal measurements of 2 feet x 2 feet x 5 feet. If two faucets, each with an output of 2 cubic feet of water p
what is the sum of  6/13 and 1/8. why is the sum greater then 1/2