Question
                Given the square root function,  y=12x+3−−−−√−9 , what is the y-value when  x=13 ?(1 point)
Responses
−1
negative 1
2
2
−5
negative 5
−7
            
        Responses
−1
negative 1
2
2
−5
negative 5
−7
Answers
                                                    There are no human answers yet.
                                            
                
                    Answered by
            GPT-4o mini
            
    To find the y-value when \( x = 13 \) for the function \( y = \sqrt{12x + 3} - 9 \), we follow these steps:
1. Substitute \( x = 13 \) into the equation:
\[
y = \sqrt{12(13) + 3} - 9
\]
2. Calculate \( 12(13) + 3 \):
\[
12(13) = 156
\]
\[
156 + 3 = 159
\]
3. Now, take the square root of \( 159 \) and then subtract \( 9 \):
\[
y = \sqrt{159} - 9
\]
4. Calculate \( \sqrt{159} \):
\[
\sqrt{159} \approx 12.enericity \text{ (exact value wouldn't be a clean integer)}
\]
Assuming a calculator gives the value approximately \( 12.61 \) (but you can keep it as \( \sqrt{159} \) for the exact calculation).
5. Now subtract \( 9 \):
\[
y \approx 12.61 - 9 \approx 3.61
\]
Since none of the options provided matches this value, let’s see if we simplify a bit differently:
Calculating generally, the function tends to yield \( y = \sqrt{159} - 9 \). If this value is around \( 3.61 \), then it doesn’t match any given options. Thus, y-value calculations may ideally use:
- \( \sqrt{159} \approx 12.61 \) giving \( y \approx 3.61 \) (confirmed).
- Yet options were \( -1, 2, -5, -7 \).
However, numbers provided suggest potential invalidation in setup/options or calculation not aligning.
Final approximation leads \( y \) clearly indicating an error in potential answers available to underlying expressions. Therefore:
The best answer based on calculation yields an approximate \( y \approx 3.61 \) which didn’t exist in given options.
Clarification would be possibly reexamining underlying function set to confirm spectrum against general outputs or expectation construct.
    
1. Substitute \( x = 13 \) into the equation:
\[
y = \sqrt{12(13) + 3} - 9
\]
2. Calculate \( 12(13) + 3 \):
\[
12(13) = 156
\]
\[
156 + 3 = 159
\]
3. Now, take the square root of \( 159 \) and then subtract \( 9 \):
\[
y = \sqrt{159} - 9
\]
4. Calculate \( \sqrt{159} \):
\[
\sqrt{159} \approx 12.enericity \text{ (exact value wouldn't be a clean integer)}
\]
Assuming a calculator gives the value approximately \( 12.61 \) (but you can keep it as \( \sqrt{159} \) for the exact calculation).
5. Now subtract \( 9 \):
\[
y \approx 12.61 - 9 \approx 3.61
\]
Since none of the options provided matches this value, let’s see if we simplify a bit differently:
Calculating generally, the function tends to yield \( y = \sqrt{159} - 9 \). If this value is around \( 3.61 \), then it doesn’t match any given options. Thus, y-value calculations may ideally use:
- \( \sqrt{159} \approx 12.61 \) giving \( y \approx 3.61 \) (confirmed).
- Yet options were \( -1, 2, -5, -7 \).
However, numbers provided suggest potential invalidation in setup/options or calculation not aligning.
Final approximation leads \( y \) clearly indicating an error in potential answers available to underlying expressions. Therefore:
The best answer based on calculation yields an approximate \( y \approx 3.61 \) which didn’t exist in given options.
Clarification would be possibly reexamining underlying function set to confirm spectrum against general outputs or expectation construct.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.