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 :)
77.) x= {-5, 6}
78.) x= {-4, 9}
79.) x= {5/3, 2}
80.) x= {1/9, 3}
81.) x= {-6, 18}
82.) x= {-3√3 +4, 3√3 +4}
83.) x= {-7, -3}
84.) x= {-√85 +9 /2, √85 -9 /2}
The ratio of 1:3 is equivalent to 12/36. The ratio 3 / 4 is not equivalent to 12/36.
Given that,
The ratio__ is equivalent to 12/36. The ratio__is not equivalent to 12/36.
Blank statement to be filled from the options.
<h3>What is the Ratio?</h3>
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
12 / 36 = 1 / 3
and
12 / 36 ≠ 3 / 4
Thus, the ratio of 1:3 is equivalent to 12/36. The ratio 3 / 4 is not equivalent to 12/36.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ1
The question seems to be incomplete,
So we will fill a ratio that is equivalent to 12 / 36 and one ratio that is not equivalent to 12 / 36,
We have two ratios here 1:3 and 3:4
Answer:
$30
Step-by-step explanation:
Harry starts out with $62.
The 2 jerseys cost 2($4) = $8.
The ball cost $19.
The shorts cost $5.
The amount Harry has left is:
$62 - ($8 + $19 + $5) = $62 - ($32) = $30
Misspelled 14 to the 3rd power is 2744
