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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For the equation, the rate of change would be four.
Now looking at the graph, look at each point of the line that hits perfectly on a grid. Count up four, over two. The rate of change for the graph would be 4/2, or 2. Hope this helps!
Answer:
20
+ 3
+ 0.5
100
+ 60
+ 4
+ 0.3
+ 0.08
200
+ 0
+ 9
+ 0.1
+ 0.00
+ 0.006
Step-by-step explanation:
Hope this helps :D
Find the probability of rolling a number bigger than 4 and subtract that by 100%;
P(5)= 1/6 <-- 6 possible outcomes, 1, 2, 3, 4, 5 or 6
P(6)= 1/6
You could have rolled a 5 or 6. When the word or is used, the probabilities are added together, when and is used, they are multiplied.
(1/6)+(1/6)=2/6
1-P(5)+P(6)
=1-(2/6)
=(6/6)-(2/6)
=4/6
Therefore the probability of not rolling a number larger than 4 is 4/6 or 2/3.
Hope I helped :)
1:4 you would set this up as a fraction 5/20. This gets you 1/4. Which is the same as a 1:4 ratio since ratios are the relativity between numbers