Get detailed and accurate answers to your questions on IDNLearn.com. Discover in-depth answers from knowledgeable professionals, providing you with the information you need.
Sagot :
To determine which ordered pair should be discarded because the values are unreasonable, let's analyze each pair in the context of the height [tex]\( y \)[/tex] of a falling object [tex]\( x \)[/tex] seconds after it is dropped.
### Ordered Pair Analysis
1. [tex]\((-4, 1)\)[/tex]:
- Here, [tex]\( x = -4 \)[/tex] seconds and [tex]\( y = 1 \)[/tex] meter.
- Time cannot be negative, so [tex]\(-4\)[/tex] seconds is not a reasonable value.
2. [tex]\(\left(\frac{9}{4}, 24\right)\)[/tex]:
- Here, [tex]\( x = \frac{9}{4} = 2.25 \)[/tex] seconds and [tex]\( y = 24 \)[/tex] meters.
- Both the time and height values are positive and seem reasonable.
3. [tex]\(\left(5, \frac{3}{2}\right)\)[/tex]:
- Here, [tex]\( x = 5 \)[/tex] seconds and [tex]\( y = \frac{3}{2} = 1.5 \)[/tex] meters.
- Both the time and height values are positive and seem reasonable.
4. [tex]\((6, 0)\)[/tex]:
- Here, [tex]\( x = 6 \)[/tex] seconds and [tex]\( y = 0 \)[/tex] meters.
- Both the time and height values are non-negative. The object hitting the ground at 0 meters seems reasonable.
### Conclusion
Based on the analysis above, the only unreasonable ordered pair is [tex]\((-4, 1)\)[/tex] because time ([tex]\(-4\)[/tex] seconds) cannot be negative.
Thus, the ordered pair [tex]\((-4, 1)\)[/tex] should be discarded because the values are unreasonable.
### Ordered Pair Analysis
1. [tex]\((-4, 1)\)[/tex]:
- Here, [tex]\( x = -4 \)[/tex] seconds and [tex]\( y = 1 \)[/tex] meter.
- Time cannot be negative, so [tex]\(-4\)[/tex] seconds is not a reasonable value.
2. [tex]\(\left(\frac{9}{4}, 24\right)\)[/tex]:
- Here, [tex]\( x = \frac{9}{4} = 2.25 \)[/tex] seconds and [tex]\( y = 24 \)[/tex] meters.
- Both the time and height values are positive and seem reasonable.
3. [tex]\(\left(5, \frac{3}{2}\right)\)[/tex]:
- Here, [tex]\( x = 5 \)[/tex] seconds and [tex]\( y = \frac{3}{2} = 1.5 \)[/tex] meters.
- Both the time and height values are positive and seem reasonable.
4. [tex]\((6, 0)\)[/tex]:
- Here, [tex]\( x = 6 \)[/tex] seconds and [tex]\( y = 0 \)[/tex] meters.
- Both the time and height values are non-negative. The object hitting the ground at 0 meters seems reasonable.
### Conclusion
Based on the analysis above, the only unreasonable ordered pair is [tex]\((-4, 1)\)[/tex] because time ([tex]\(-4\)[/tex] seconds) cannot be negative.
Thus, the ordered pair [tex]\((-4, 1)\)[/tex] should be discarded because the values are unreasonable.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.