Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Sure, let's match each algebraic expression to its correct description step by step:
### Step 1: Understand the Descriptions and Expressions
Descriptions:
1. Description 1: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=2\)[/tex]
2. Description 2: 2 terms; variable [tex]\(=x\)[/tex], constant [tex]\(=4.5\)[/tex]
3. Description 3: 2 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex]
4. Description 4: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=3\)[/tex]
Expressions:
1. Expression 1: [tex]\(4.5x + 2 - 3y\)[/tex]
2. Expression 2: [tex]\(x - 2y + 3\)[/tex]
3. Expression 3: [tex]\(4.5 - 2x\)[/tex]
4. Expression 4: [tex]\(4.5y - 2x\)[/tex]
### Step 2: Match the Descriptions to Expressions
1. Expression 1: [tex]\(4.5x + 2 - 3y\)[/tex]
- This expression has 3 terms: [tex]\(4.5x\)[/tex], [tex]\(2\)[/tex], and [tex]\(-3y\)[/tex].
- The variables are [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
- The constant is [tex]\(2\)[/tex].
- Matching Description 1: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=2\)[/tex]
2. Expression 2: [tex]\(x - 2y + 3\)[/tex]
- This expression has 3 terms: [tex]\(x\)[/tex], [tex]\(-2y\)[/tex], and [tex]\(3\)[/tex].
- The variables are [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
- The constant is [tex]\(3\)[/tex].
- Matching Description 4: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=3\)[/tex]
3. Expression 3: [tex]\(4.5 - 2x\)[/tex]
- This expression has 2 terms: [tex]\(4.5\)[/tex] and [tex]\(-2x\)[/tex].
- The variable is [tex]\(x\)[/tex].
- The constant is [tex]\(4.5\)[/tex].
- Matching Description 2: 2 terms; variable [tex]\(=x\)[/tex], constant [tex]\(=4.5\)[/tex]
4. Expression 4: [tex]\(4.5y - 2x\)[/tex]
- This expression has 2 terms: [tex]\(4.5y\)[/tex] and [tex]\(-2x\)[/tex].
- The variables are [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
- There is no constant term.
- Matching Description 3: 2 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex]
### Final Matching:
- [tex]\(4.5x + 2 - 3y\)[/tex]: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=2\)[/tex]
- [tex]\(x - 2y + 3\)[/tex]: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=3\)[/tex]
- [tex]\(4.5 - 2x\)[/tex]: 2 terms; variable [tex]\(=x\)[/tex], constant [tex]\(=4.5\)[/tex]
- [tex]\(4.5y - 2x\)[/tex]: 2 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex]
So the matched pairs are:
1. [tex]\(4.5x + 2 - 3y\)[/tex] matches with "3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=2\)[/tex]".
2. [tex]\(x - 2y + 3\)[/tex] matches with "3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=3\)[/tex]".
3. [tex]\(4.5 - 2x\)[/tex] matches with "2 terms; variable [tex]\(=x\)[/tex], constant [tex]\(=4.5\)[/tex]".
4. [tex]\(4.5y - 2x\)[/tex] matches with "2 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex]".
### Step 1: Understand the Descriptions and Expressions
Descriptions:
1. Description 1: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=2\)[/tex]
2. Description 2: 2 terms; variable [tex]\(=x\)[/tex], constant [tex]\(=4.5\)[/tex]
3. Description 3: 2 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex]
4. Description 4: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=3\)[/tex]
Expressions:
1. Expression 1: [tex]\(4.5x + 2 - 3y\)[/tex]
2. Expression 2: [tex]\(x - 2y + 3\)[/tex]
3. Expression 3: [tex]\(4.5 - 2x\)[/tex]
4. Expression 4: [tex]\(4.5y - 2x\)[/tex]
### Step 2: Match the Descriptions to Expressions
1. Expression 1: [tex]\(4.5x + 2 - 3y\)[/tex]
- This expression has 3 terms: [tex]\(4.5x\)[/tex], [tex]\(2\)[/tex], and [tex]\(-3y\)[/tex].
- The variables are [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
- The constant is [tex]\(2\)[/tex].
- Matching Description 1: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=2\)[/tex]
2. Expression 2: [tex]\(x - 2y + 3\)[/tex]
- This expression has 3 terms: [tex]\(x\)[/tex], [tex]\(-2y\)[/tex], and [tex]\(3\)[/tex].
- The variables are [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
- The constant is [tex]\(3\)[/tex].
- Matching Description 4: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=3\)[/tex]
3. Expression 3: [tex]\(4.5 - 2x\)[/tex]
- This expression has 2 terms: [tex]\(4.5\)[/tex] and [tex]\(-2x\)[/tex].
- The variable is [tex]\(x\)[/tex].
- The constant is [tex]\(4.5\)[/tex].
- Matching Description 2: 2 terms; variable [tex]\(=x\)[/tex], constant [tex]\(=4.5\)[/tex]
4. Expression 4: [tex]\(4.5y - 2x\)[/tex]
- This expression has 2 terms: [tex]\(4.5y\)[/tex] and [tex]\(-2x\)[/tex].
- The variables are [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
- There is no constant term.
- Matching Description 3: 2 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex]
### Final Matching:
- [tex]\(4.5x + 2 - 3y\)[/tex]: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=2\)[/tex]
- [tex]\(x - 2y + 3\)[/tex]: 3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=3\)[/tex]
- [tex]\(4.5 - 2x\)[/tex]: 2 terms; variable [tex]\(=x\)[/tex], constant [tex]\(=4.5\)[/tex]
- [tex]\(4.5y - 2x\)[/tex]: 2 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex]
So the matched pairs are:
1. [tex]\(4.5x + 2 - 3y\)[/tex] matches with "3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=2\)[/tex]".
2. [tex]\(x - 2y + 3\)[/tex] matches with "3 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex] : constant [tex]\(=3\)[/tex]".
3. [tex]\(4.5 - 2x\)[/tex] matches with "2 terms; variable [tex]\(=x\)[/tex], constant [tex]\(=4.5\)[/tex]".
4. [tex]\(4.5y - 2x\)[/tex] matches with "2 terms; variables [tex]\(=x\)[/tex] and [tex]\(y\)[/tex]".
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
