For
|a|<b
assume
-b<a<b
so
add 5 to both side
|-2-8x|<66
assume
-66<-2-8x<66
add 2 to both sides
-64<-8x<68
divide everyboy by -8, don't forget to flip sign
8>x>-8.5
-8.5<x<8
the solution is all numbers between -8.5 and 8, not including -8.5 and 8
in interval notation: (-8.5,8)
or
S={x|-8.5<x<8}
Subtract the portion used from the whole.
= 3 m - 5/6m
must have common denominators
= (3*6)/(1*6) - 5/6
= 18/6 - 5/6
= 13/6 m
= 2 1/6 m
ANSWER: 2 1/6 meters left
Hope this helps! :)
Answer:
(2x-9)(2x+9)
Step-by-step explanation:
This is a difference of squares because it can be written as (2x)^2-9^2
The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)
So replace a with 2x and b with 9 giving us
4x^2-81=(2x-9)(2x+9)

The probability of getting 0 heads in 4 tosses (or equivalently, 4 tails) is

.
So the desired probability is