Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![## Simplifying Mathematical Expressions
**Question 3:**
What is the first step in simplifying the expression \((2 - 3 \cdot 4 + 5)^2\)? Why?
### Explanation:
The expression inside the parentheses needs to be simplified first before squaring, following the order of operations (PEMDAS/BODMAS):
1. **Parentheses/Brackets**
2. **Exponents/Orders (i.e., powers and roots)**
3. **Multiplication and Division** (from left to right)
4. **Addition and Subtraction** (from left to right)
First, calculate the multiplication: \(3 \cdot 4\).
**Applications:**
**5. Maria's Savings:**
Maria just got a job and is saving $45 a week. She also has $155 saved from her birthday.
### Task:
To calculate how much money she will have in her bank account over time, consider the following:
\[ \text{Total Savings} = \$155 + (\$45 \times \text{number of weeks}) \]
Help Maria calculate her total savings based on how many weeks she plans to save.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5860b782-e202-4b11-bbaa-079f20a1ee90%2F8e1b77f9-5205-44e4-ae55-0131990ade94%2F0uetc0l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Simplifying Mathematical Expressions
**Question 3:**
What is the first step in simplifying the expression \((2 - 3 \cdot 4 + 5)^2\)? Why?
### Explanation:
The expression inside the parentheses needs to be simplified first before squaring, following the order of operations (PEMDAS/BODMAS):
1. **Parentheses/Brackets**
2. **Exponents/Orders (i.e., powers and roots)**
3. **Multiplication and Division** (from left to right)
4. **Addition and Subtraction** (from left to right)
First, calculate the multiplication: \(3 \cdot 4\).
**Applications:**
**5. Maria's Savings:**
Maria just got a job and is saving $45 a week. She also has $155 saved from her birthday.
### Task:
To calculate how much money she will have in her bank account over time, consider the following:
\[ \text{Total Savings} = \$155 + (\$45 \times \text{number of weeks}) \]
Help Maria calculate her total savings based on how many weeks she plans to save.
Expert Solution
Step 1
according to company rules, i need to solve first question when multiple questions are posted..so re-post 5th question
what is the first step in simplifying expression?
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