We appreciate your visit to A high school basketball coach is conducting trials for this year s team One of his criteria for selecting forwards for the team is that. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, we need to determine which inequality best represents the height criteria for selecting forwards on the basketball team.
The coach's criteria is that each forward’s height should be 190 centimeters, with a maximum deviation of 10 centimeters. This means that the forward's height can be 10 centimeters taller or shorter than 190 centimeters.
Steps to solve:
1. Understand the Requirement:
- The ideal height is 190 cm.
- The deviation allowed is ±10 cm.
2. Set up the Inequality:
- We can express this condition with the absolute value inequality: [tex]\( |h - 190| \leq 10 \)[/tex].
- This inequality is read as "the absolute difference between the player's height [tex]\(h\)[/tex] and 190 cm should be at most 10 cm."
3. Interpret the Inequality:
- Absolute value inequalities are solved by considering both the positive and negative deviations.
- The inequality [tex]\( |h - 190| \leq 10 \)[/tex] means:
- [tex]\( h - 190 \leq 10 \)[/tex] and
- [tex]\( h - 190 \geq -10 \)[/tex].
4. Solve the Inequalities:
- For [tex]\( h - 190 \leq 10 \)[/tex], add 190 to both sides:
- [tex]\( h \leq 200 \)[/tex].
- For [tex]\( h - 190 \geq -10 \)[/tex], add 190 to both sides:
- [tex]\( h \geq 180 \)[/tex].
5. Combine the Results:
- The height [tex]\(h\)[/tex] must satisfy both conditions, meaning:
- [tex]\( 180 \leq h \leq 200 \)[/tex].
This translates to the inequality [tex]\( |h-190| \leq 10 \)[/tex] being the correct one that represents the acceptable range for a forward's height on the basketball team. Thus, the correct option is H: [tex]\( |h-190| \leq 10 \)[/tex].
The coach's criteria is that each forward’s height should be 190 centimeters, with a maximum deviation of 10 centimeters. This means that the forward's height can be 10 centimeters taller or shorter than 190 centimeters.
Steps to solve:
1. Understand the Requirement:
- The ideal height is 190 cm.
- The deviation allowed is ±10 cm.
2. Set up the Inequality:
- We can express this condition with the absolute value inequality: [tex]\( |h - 190| \leq 10 \)[/tex].
- This inequality is read as "the absolute difference between the player's height [tex]\(h\)[/tex] and 190 cm should be at most 10 cm."
3. Interpret the Inequality:
- Absolute value inequalities are solved by considering both the positive and negative deviations.
- The inequality [tex]\( |h - 190| \leq 10 \)[/tex] means:
- [tex]\( h - 190 \leq 10 \)[/tex] and
- [tex]\( h - 190 \geq -10 \)[/tex].
4. Solve the Inequalities:
- For [tex]\( h - 190 \leq 10 \)[/tex], add 190 to both sides:
- [tex]\( h \leq 200 \)[/tex].
- For [tex]\( h - 190 \geq -10 \)[/tex], add 190 to both sides:
- [tex]\( h \geq 180 \)[/tex].
5. Combine the Results:
- The height [tex]\(h\)[/tex] must satisfy both conditions, meaning:
- [tex]\( 180 \leq h \leq 200 \)[/tex].
This translates to the inequality [tex]\( |h-190| \leq 10 \)[/tex] being the correct one that represents the acceptable range for a forward's height on the basketball team. Thus, the correct option is H: [tex]\( |h-190| \leq 10 \)[/tex].
Thanks for taking the time to read A high school basketball coach is conducting trials for this year s team One of his criteria for selecting forwards for the team is that. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
