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
#SPJ1
Answer:
The slope of this line is 7/4 or 1.74 in decimal form.
m = 7/4 OR m = 1.75
Step-by-step explanation:
slope = y^2 - y^1 / x^2 - x^1
Let's pick any two points from the graph: (-1, -3) and (3, 4)
m = y^2 - y^1 / x^2 - x^1
m = 4 - (-3) / 3 - (-1)
m = 4 + 3 / 3 + 1
m = 7/4
m = 1.75
Answer:
you have to do rise over run... y2-y1/ x2-x1.
1/33
Step-by-step explanation:
I don't know if i'm correct but thats what I got. Due to 20 minus 19 is 1. and 17 minus -16 equals 33.
Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:
Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:
To solve exponentials, we can take Natural Log (Ln) of both sides:
Using the rule shown below we can simplify and solve:
We can write:
To the nearest year, that would be about 9 years
Answer:
35/36
Step-by-step explanation:
hope it helps u
wait need more answer?
sure just give Brainliest and follow me
to i get ur question and answer it fast
i can good luck my friend<3