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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B. 24x2 is the correct answer
if we're factoring you can use the AC method. A multiplied by C is 24. and 4x6 is 24.
(x+4)(x+6) is your answer
Answer:
B. 9.6 %.
Step-by-step explanation:
A = P e^rt
His investment doubles so it comes to 3000 * 2 = $6000.
Substituting in the formula>
6000 = 3000e^7.2r ehere r is the interest rate.
e^7.2r = 2
Taking logs
7.2r = ln 2
r = ln2 / 7.2
r = 0.096
So the rate is 9.6%.
Hi!
To solve exponental equations, multiply the exponents.
4·5=20
The answer is
Hope this helps! :)
-Peredhel
