The solution of the equation is x = -4/3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
Learn more about solving equations here:
brainly.com/question/18015090
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Devin borrowed $1,058 at 13 percent for nine months.
We have to calculate the interest paid.
Interest = 
Substituting the values of
Principal = $1058
Rate = 13%
Time = 9 months = 
year
Interest = 
Interest = 103.155
= 103.16
So, Devin will pay 103.16 as the interest.
Therefore, Option A is the correct answer.
Answer:
Answer Below
Step-by-step explanation:
Triangle #1
To solve this answer we need to multiply then <em>divide by 2</em>
x 
÷ 
12
Triangle #2
Now we do the same thing!
x
÷
12
Rectangle #1
<em>Now we solve for the rectangle!</em>
x 
48
Now we add all these together!
<em>The answer is D. 72 Square Units</em>
2/4 is equivalent to 1/16 and 1/128 if dived by 8 sections
8/8 is equivalent to 1/8 and 1/64 if dived by 8 sections
1/2 is equivalent to 1/16 and 1/128 if dived by 8 sections
3/4 is equivalent to 3/32 and 3/256 if dived by 8 sections
2/3 is equivalent to 1/12 and 1/98 if dived by 8 sections
Answer:
6xy² + 10y²z is the product answer
Step-by-step explanation:
