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.
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Answer:
5
Step-by-step explanation:
The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.
Answer: B. neither
<u>Step-by-step explanation:</u>
A function is even when f(x) = f(-x).
A function is odd when f(-x) = -f(x).
f(x) = 2x³ - x²
f(-x) = 2(-x)³ - (-x)²
= -2x³ - x²
f(x) = 2x³ - x² ≠ f(-x) = -2x³ - x² so it is NOT EVEN
-f(x) = -(2x³ - x²)
= -2x³ + x²
f(-x) = -2x³ - x² ≠ -f(x)= -2x³ + x² so it is NOT ODD
Therefore, it is NEITHER even nor odd.
Answer: 4 minus 12 x
Step-by-step explanation:
4 - 12x
The growth factor of the exponential function represented by the table is 5.
The correct option is c.
<h3>What is the growth factor of the exponential function?</h3>
The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).
The growth factor of the exponential function is given by;
As per given, we have a table;
x y
-2 0.004
-1 0.02
0 0.1
1 0.5
The value 
is -2 and 
is -1.
Therefore,
the growth factor of the exponential function represented by the table would be :
Hence, the growth factor of the exponential function represented by the table is 5.
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