Answer:
The absolute number of a number a is written as
|a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation
|x|=a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
|x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality
|x|<2
Represents the distance between x and 0 that is less than 2
Whereas the inequality
|x|>2
Represents the distance between x and 0 that is greater than 2
You can write an absolute value inequality as a compound inequality.
−2<x<2
This holds true for all absolute value inequalities.
|ax+b|<c,wherec>0
=−c<ax+b<c
|ax+b|>c,wherec>0
=ax+b<−corax+b>c
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
Step-by-step explanation:
Hope this helps :)
Answer:
71/1000 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 71 by 1000 what we write down as 71/1000 and we get 0.071
Step-by-step explanation:
Answer: 38/9
Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).
Answer:
Measure of side YX is 22 units.
Step-by-step explanation:
Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.
By substituting the values given in the picture in the ratio,
By cross multiplication,
2(3x - 9) = 3(x + 8)
6x - 18 = 3x + 24
(6x -18) + 18 = 3x + 24 + 18
6x - 3x = (3x + 42) - 3x
6x - 3x = 42
3x = 42
x = 
x = 14
m(YX) = x + 8
= 14 + 8
= 22
Therefore, measure of side YX is 22 units.
You can find the mean of negative numbers just the same as for positive numbers. It doesn't hurt for the mean to be negative.
For example, with the number -9, -5, -4, -3, -1 you can find the mean jsut as any other numbers
-9+-5+-4+-3+-1=-22
-22/5=-4.4
the mean for those set of numbers is -4.4
