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 :)
It's slope would be undefined.
Answer:
Scatter plot
Step-by-step explanation:
Using a scatter plot will allow the sales manager to show the data collected about the number of customers who enter the store and the dollar volume of sales for each day because the plot will have a dot to represent each day. The analyze of the pattern formed by the dots will show if there is a relation between the variables and what kind of relation is (systematic or causal). She can also add a regression line to find an explanation for the relation between the variables.
I believe this is right but I’m not 100%
<h3>The answer is:</h3><h2>8</h2><h2 />
We know that the opposite of 8 is -8. So the opposite of -8 is 8.
You can look a number line if you are still confused!
