If f(x)=35x+25
and g(x)=22x+18
find 5f(4)+2g(10)
1 answer:
Answer:
1301
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 35x + 25
g(x) = 22x + 18
f(4) is <em>x</em> = 4 for function f(x)
g(10) is <em>x</em> = 10 for function g(x)
<u>Step 2: Find Function Values</u>
<em>f(4)</em>
- Substitute in <em>x</em> [Function f(x)]: f(4) = 35(4) + 25
- Multiply: f(4) = 140 + 25
- Add: 165
<em>g(10)</em>
- Substitute in <em>x</em> [Function g(x)]: g(10) = 22(10) + 18
- Multiply: g(10) = 220 + 18
- Add: g(10) = 238
<u>Step 3: Evaluate</u>
- Substitute in function values: 5(165) + 2(238)
- Multiply: 825 + 476
- Add: 1301
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