It can be modeled by an exponential function, f(x) is divided by 3 each time x increases by 1.
This means that the base of the exponential function is 1/3, and since the value of f(x) when x=0 is 81, 
Dividing both sides by 0.5
24 cups of popcorn can be made from 0.75 cups of kernels.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Solving quadratics
- Multiple roots
<u>Algebra II</u>
- Logarithms
- Euler's number e
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Solve for </u><em><u>x</u></em>
- Raise both sides by e:

- Simplify equation:

- Square root both sides:

Answer:
(0,-3) will give the maximum value
Step-by-step explanation:
To know the vertex, we have to substitute the coordinates in the options
we have this as follows
a) (1.5,0)
T = 1.5-3(0) = -1.5
b) (3.5,4)
T = 3.5 - 1)4)
= 3.5 - 4 = -0.5
c) (0,-3)
we have
T = 0-3(-3) = 0 + 9 = 9
d) (0,4)
we have this as:
T = 0 - 3(4) = -12
Answer:
I will answer it but what is the question?
Step-by-step explanation: