Answer:
- Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Step-by-step explanation:
<u>Given expressions</u>
- 4x - x + 5 = 3x + 5
- 8 - 3x - 3 = -3x + 5
Compared, we see the expressions are different as 3x and -3x have different coefficient
<u>Answer options</u>
Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.
- Incorrect. Positive outcome doesn't mean equivalent
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Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
- Incorrect. There are 2 values- variable and constant
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Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
- Incorrect. Positive outcome doesn't mean equivalent.
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Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
<span>A)2x^2+3 is a transformation of f(x)=x^2: Stretch the graph vertically by a factor of 2 and then shift the entire resulting graph up by 3 units. The graph will still look like a parabola that opens up.
</span>B)-2x^2-3 is a transformation of f(x)=x^2: Stretch the graph vertically by a factor of 2, reflect the resulting graph in the x-axis, and then shift the entire resulting graph down by 3 units. The graph will still look like a parabola that opens down.
<span>
Answers to C and D are very similar, except that we compress the graph of x^2 v ertically by a factor of (1/2).
None of these A, B, C, D is wrong.
</span>
Answer:
1/5
Step-by-step explanation:
8/20 divided by 4 equals 1/5
