Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find</u>
- Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9
- Combine like terms: (f + g)(x) = 5x + 3
Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = 
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = 
3 = 1 + 
r = 100×(3 - 1)
r = 200
So the function is, f(x) = 
a). Population after 4 hours,
f(4) = 
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = 
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = 
= Infinite
Answer:
3,231 feet
Step-by-step explanation:
Find the difference between the two heights by subtracting them:
2933 - (-298)
2933 + 298
= 3231
So, the difference in altitude is 3,231 feet
Answer:
or
are not boxcars
Step-by-step explanation: