The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
<h3>What are the solutions to the given equation?</h3>
Given the equation in question;
|3x-7| - 7 = x
First, add 7 to both sides.
|3x-7| - 7 + 7 = x + 7
|3x-7| = x + 7
Next, remove the absolute value term, this creates a ± on the right side of the question.
|3x-7| = x + 7
3x-7 = ±( x + 7 )
The complete solution is the result of both the negative and positive portions of the solution.
For the first solution, use the positive of ±.
3x-7 = ( x + 7 )
3x - 7 = x + 7
3x - x = 7 + 7
2x = 14
x - 14/2
x = 7
For the second solution, use the negative of ±.
3x-7 = -( x + 7 )
3x-7 = -x - 7
3x + x = -7 + 7
4x = 0
x = 0/4
x = 0
Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
Learn to solve more equation involving absolute value term here: brainly.com/question/28635030
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Answer:
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Step-by-step explanation:
it was right on edge
Answer:
Step-by-step explanation:
15%(p)
Answer:
20 -> 10 × 2 (2 is prime)
10 -> 5 × 2 (both are prime)
So you have 2 × 2 × 5, which can also be written as 2² × 5, which is your answer. I hope this helps!
Step-by-step explanation:
We are given a data set and we are asked to write the model that fits the data. We notice that for each step of "x" the values of "y" increase by the same amount. That means that the data follow a linear model, therefore, we will use:
Where:
To determine the slope "m" we will use the following formula:
Where:
Are data points. From the table we choose the following points:
Now, we substitute in the equation for the slope:
Solving the operations:
Therefore, the slope is -7. Substituting in the equation of the line we get:
Now, we substitute one of the points to get the value of "b". We will substitute the value x = -8, y = 47, we get:
Solving the product:
Now we subtract 56 from both sides:
Now, we substitute the value of "b" in the equation of the line:
And thus we get the line equation.
