Answer :
Let's proceed to find the numerical values for each [tex]\(y\)[/tex] given the corresponding [tex]\(x\)[/tex] values from the provided table.
1. Compute [tex]\( y \)[/tex] for [tex]\( x = -2 \)[/tex]:
[tex]\[ y = \frac{5}{13} \][/tex]
Calculate the value:
[tex]\[ y = 0.38461538461538464 \][/tex]
2. Compute [tex]\( y \)[/tex] for [tex]\( x = 0 \)[/tex]:
[tex]\[ y = \frac{3}{11} \][/tex]
Calculate the value:
[tex]\[ y = 0.2727272727272727 \][/tex]
3. Compute [tex]\( y \)[/tex] for [tex]\( x = 5 \)[/tex]:
[tex]\[ y = -\frac{2}{39} \][/tex]
Calculate the value:
[tex]\[ y = -0.05128205128205128 \][/tex]
4. Compute [tex]\( y \)[/tex] for [tex]\( x = 12 \)[/tex]:
[tex]\[ y = \frac{9}{13} \][/tex]
Calculate the value:
[tex]\[ y = 0.6923076923076923 \][/tex]
So, we can build the table with these computed values:
[tex]\[ \begin{array}{c|c} x & y \\ \hline -2 & 0.38461538461538464 \\ 0 & 0.2727272727272727 \\ 5 & -0.05128205128205128 \\ 12 & 0.6923076923076923 \\ \end{array} \][/tex]
Thus, our resultant list of pairs [tex]\((x, y)\)[/tex] is:
[tex]\[ [(-2, 0.38461538461538464), (0, 0.2727272727272727), (5, -0.05128205128205128), (12, 0.6923076923076923)] \][/tex]
1. Compute [tex]\( y \)[/tex] for [tex]\( x = -2 \)[/tex]:
[tex]\[ y = \frac{5}{13} \][/tex]
Calculate the value:
[tex]\[ y = 0.38461538461538464 \][/tex]
2. Compute [tex]\( y \)[/tex] for [tex]\( x = 0 \)[/tex]:
[tex]\[ y = \frac{3}{11} \][/tex]
Calculate the value:
[tex]\[ y = 0.2727272727272727 \][/tex]
3. Compute [tex]\( y \)[/tex] for [tex]\( x = 5 \)[/tex]:
[tex]\[ y = -\frac{2}{39} \][/tex]
Calculate the value:
[tex]\[ y = -0.05128205128205128 \][/tex]
4. Compute [tex]\( y \)[/tex] for [tex]\( x = 12 \)[/tex]:
[tex]\[ y = \frac{9}{13} \][/tex]
Calculate the value:
[tex]\[ y = 0.6923076923076923 \][/tex]
So, we can build the table with these computed values:
[tex]\[ \begin{array}{c|c} x & y \\ \hline -2 & 0.38461538461538464 \\ 0 & 0.2727272727272727 \\ 5 & -0.05128205128205128 \\ 12 & 0.6923076923076923 \\ \end{array} \][/tex]
Thus, our resultant list of pairs [tex]\((x, y)\)[/tex] is:
[tex]\[ [(-2, 0.38461538461538464), (0, 0.2727272727272727), (5, -0.05128205128205128), (12, 0.6923076923076923)] \][/tex]
