Respuesta :
Answer:
Which statements are true? Check all that apply.
( D ) The expressions have equivalent values when x = 6.
(F ) The expressions have equivalent values for any value of x.
(G) When x = 10, both expressions have a value of 33.
Explanation:
The statement applicable areas follows,
The expressions include equivalent values when x=6.
The expressions retain equivalent values for any value of x.
When x=10, both expressions have a value of 33
What are Equivalent expressions?
Equivalent expressions exist as expressions that work identically even though they look distinct. If two algebraic expressions exist equivalent, then the two expressions contain the same value when we plug in the same value(s) for the variable(s).
Before Verifying the statements. Let's solve the system of equations:
5 + 3x - 2 = x + 2(x+1) + 1
5 + 3x - 2 = x + 2x+2 + 1
3x + 3 = 3x + 3
Both equations exist equivalent. Now, consider the statements:
1. The expressions exist only as equivalent when evaluated with odd values.
Given that both expressions exist the same, the expressions stand equivalent for ALL values.
Therefore, the statement Exists FALSE .
2. The expressions exist only equivalent for x=3 and x=7.
Given that both expressions are the same, the expressions exist equivalent for ALL values, not only x=3 and x=7.
Therefore, the statement Exists FALSE.
3. The expressions should have been considered with one odd value and one even value.
If two expressions exist equivalent, they should be equivalent for ALL values. Sometimes, evaluating just one odd and one even value isn't enough. That's why the best approach exists to solve the system of equations.
Therefore, the statement Exists FALSE.
4. The expressions include equivalent values when x=6.
Given that both expressions exist the same, the expressions are equivalent for x=6 (And all the real values too).
Therefore, the statement Exists TRUE.
5. When x=0, the first expression includes a value of 3 and the second expression has a value of 4.
Given that BOTH expressions are equivalent, they maintain the same value when x=0, which is 3.
Therefore, the statement Exists FALSE.
6. The expressions retain equivalent values for any value of x.
Given that both expressions exist the same, the expressions are equivalent for ALL values of x.
Therefore, the statement Exists TRUE.
7. When x=10, both expressions have a value of 33
Given that both expressions exist the same, the expressions are equivalent for ALL values of x. That's why when x=0, both expressions include a value of 33.
Therefore, the statement Exists TRUE.
To learn more about Equivalent expressions refer to:
https://brainly.com/question/280220
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