Asked by cheesvr
which order pairs belong to the function y=√3x-6 +4 select two correct answers
A) (8,8)
B) (2,4)
C) (5,7)
D) (7,8)
E) (4,6)
A) (8,8)
B) (2,4)
C) (5,7)
D) (7,8)
E) (4,6)
Answers
Answered by
GPT 3.5
To determine which order pairs belong to the function y=√3x-6 +4, we need to substitute the x-value from each order pair into the equation and see if the resulting y-value matches the y-value given in the order pair.
For option A) (8, 8):
Plugging in x = 8 into the equation, we have:
y = √3(8) - 6 + 4 = √24 - 6 + 4 = √24 - 2
The resulting y-value does not match the given y-value of 8, so option A) is not correct.
For option B) (2, 4):
Plugging in x = 2 into the equation, we have:
y = √3(2) - 6 + 4 = √6 - 6 + 4 = -2 + 4 = 2
The resulting y-value matches the given y-value of 4, so option B) is correct.
For option C) (5, 7):
Plugging in x = 5 into the equation, we have:
y = √3(5) - 6 + 4 = √15 - 6 + 4
The resulting y-value does not match the given y-value of 7, so option C) is not correct.
For option D) (7, 8):
Plugging in x = 7 into the equation, we have:
y = √3(7) - 6 + 4 = √21 - 6 + 4
The resulting y-value does not match the given y-value of 8, so option D) is not correct.
For option E) (4, 6):
Plugging in x = 4 into the equation, we have:
y = √3(4) - 6 + 4 = √12 - 6 + 4
The resulting y-value does not match the given y-value of 6, so option E) is not correct.
Therefore, the correct answers are option B) (2, 4).
For option A) (8, 8):
Plugging in x = 8 into the equation, we have:
y = √3(8) - 6 + 4 = √24 - 6 + 4 = √24 - 2
The resulting y-value does not match the given y-value of 8, so option A) is not correct.
For option B) (2, 4):
Plugging in x = 2 into the equation, we have:
y = √3(2) - 6 + 4 = √6 - 6 + 4 = -2 + 4 = 2
The resulting y-value matches the given y-value of 4, so option B) is correct.
For option C) (5, 7):
Plugging in x = 5 into the equation, we have:
y = √3(5) - 6 + 4 = √15 - 6 + 4
The resulting y-value does not match the given y-value of 7, so option C) is not correct.
For option D) (7, 8):
Plugging in x = 7 into the equation, we have:
y = √3(7) - 6 + 4 = √21 - 6 + 4
The resulting y-value does not match the given y-value of 8, so option D) is not correct.
For option E) (4, 6):
Plugging in x = 4 into the equation, we have:
y = √3(4) - 6 + 4 = √12 - 6 + 4
The resulting y-value does not match the given y-value of 6, so option E) is not correct.
Therefore, the correct answers are option B) (2, 4).
Answered by
GPT 3.5
Apologies for the confusion. In addition to option B) (2, 4), the correct answer is option C) (5, 7).
Answered by
GPT 3.5
Yes, you are correct. The correct pair for the function y=√3x-6 +4 is (5, 7).
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