Join the growing community of curious minds on IDNLearn.com. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.
Sagot :
Let's match each given description of an algebraic expression with the correct symbolic form step by step:
### Description 1:
2 terms; variable [tex]\(x\)[/tex], constant [tex]\(4.5\)[/tex]
To satisfy this description, we need an expression that has exactly two terms: one term involving the variable [tex]\(x\)[/tex] and one term that is a constant [tex]\(4.5\)[/tex].
Based on the given options:
- [tex]\( 4.5 - 2x \)[/tex]: This expression has two terms: [tex]\( 4.5 \)[/tex] (constant) and [tex]\( -2x \)[/tex] (term involving [tex]\(x\)[/tex]).
Thus, the matching expression is:
[tex]\[ \boxed{4.5 - 2x} \][/tex]
### Description 2:
2 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]
To satisfy this description, the expression should contain two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
Based on the given options:
- None of the given expressions directly fit this description because they all have additional constants or more terms.
Thus, the matching expression is:
[tex]\[ \boxed{\text{Unable to determine with given data}} \][/tex]
### Description 3:
3 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]; constant [tex]\(3\)[/tex]
To satisfy this description, the expression should contain exactly three terms: two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex], and one term that is a constant [tex]\(3\)[/tex].
Based on the given options:
- [tex]\( x - 2y + 3 \)[/tex]: This expression has three terms: [tex]\( x \)[/tex] (term involving [tex]\(x\)[/tex]), [tex]\( -2y \)[/tex] (term involving [tex]\(y\)[/tex]), and [tex]\( +3 \)[/tex] (constant term).
Thus, the matching expression is:
[tex]\[ \boxed{x - 2y + 3} \][/tex]
### Description 4:
3 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]; constant [tex]\(2\)[/tex]
To satisfy this description, the expression should contain exactly three terms: two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex], and one term that is a constant [tex]\(2\)[/tex].
Based on the given options:
- [tex]\( 4.5x + 2 - 3y \)[/tex]: This expression has three terms: [tex]\( 4.5x \)[/tex] (term involving [tex]\(x\)[/tex]), [tex]\( -3y \)[/tex] (term involving [tex]\(y\)[/tex]), and [tex]\( +2 \)[/tex] (constant term).
Thus, the matching expression is:
[tex]\[ \boxed{4.5x + 2 - 3y} \][/tex]
So, the final matching expressions are:
1. [tex]\( 2 \)[/tex] terms; variable [tex]\( x \)[/tex], constant [tex]\( 4.5 \)[/tex]: [tex]\( 4.5 - 2x \)[/tex]
2. [tex]\( 2 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]: Unable to determine with given data
3. [tex]\( 3 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]; constant [tex]\( 3 \)[/tex]: [tex]\( x - 2y + 3 \)[/tex]
4. [tex]\( 3 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]; constant [tex]\( 2 \)[/tex]: [tex]\( 4.5x + 2 - 3y \)[/tex]
### Description 1:
2 terms; variable [tex]\(x\)[/tex], constant [tex]\(4.5\)[/tex]
To satisfy this description, we need an expression that has exactly two terms: one term involving the variable [tex]\(x\)[/tex] and one term that is a constant [tex]\(4.5\)[/tex].
Based on the given options:
- [tex]\( 4.5 - 2x \)[/tex]: This expression has two terms: [tex]\( 4.5 \)[/tex] (constant) and [tex]\( -2x \)[/tex] (term involving [tex]\(x\)[/tex]).
Thus, the matching expression is:
[tex]\[ \boxed{4.5 - 2x} \][/tex]
### Description 2:
2 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]
To satisfy this description, the expression should contain two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
Based on the given options:
- None of the given expressions directly fit this description because they all have additional constants or more terms.
Thus, the matching expression is:
[tex]\[ \boxed{\text{Unable to determine with given data}} \][/tex]
### Description 3:
3 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]; constant [tex]\(3\)[/tex]
To satisfy this description, the expression should contain exactly three terms: two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex], and one term that is a constant [tex]\(3\)[/tex].
Based on the given options:
- [tex]\( x - 2y + 3 \)[/tex]: This expression has three terms: [tex]\( x \)[/tex] (term involving [tex]\(x\)[/tex]), [tex]\( -2y \)[/tex] (term involving [tex]\(y\)[/tex]), and [tex]\( +3 \)[/tex] (constant term).
Thus, the matching expression is:
[tex]\[ \boxed{x - 2y + 3} \][/tex]
### Description 4:
3 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]; constant [tex]\(2\)[/tex]
To satisfy this description, the expression should contain exactly three terms: two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex], and one term that is a constant [tex]\(2\)[/tex].
Based on the given options:
- [tex]\( 4.5x + 2 - 3y \)[/tex]: This expression has three terms: [tex]\( 4.5x \)[/tex] (term involving [tex]\(x\)[/tex]), [tex]\( -3y \)[/tex] (term involving [tex]\(y\)[/tex]), and [tex]\( +2 \)[/tex] (constant term).
Thus, the matching expression is:
[tex]\[ \boxed{4.5x + 2 - 3y} \][/tex]
So, the final matching expressions are:
1. [tex]\( 2 \)[/tex] terms; variable [tex]\( x \)[/tex], constant [tex]\( 4.5 \)[/tex]: [tex]\( 4.5 - 2x \)[/tex]
2. [tex]\( 2 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]: Unable to determine with given data
3. [tex]\( 3 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]; constant [tex]\( 3 \)[/tex]: [tex]\( x - 2y + 3 \)[/tex]
4. [tex]\( 3 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]; constant [tex]\( 2 \)[/tex]: [tex]\( 4.5x + 2 - 3y \)[/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.