Answer:
k(4) = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
k(x) = 18 - 2x
k(4) is x = 4
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: k(4) = 18 - 2(4)
- Multiply: k(4) = 18 - 8
- Subtract: k(4) = 10
Answer:
Function 1 has the larger maximum at (4, 1)
Explanation:
After observation, graph of function 1 has vertex at Maximum (4, 1)
In order to find vertex of function 2, complete square the equation.
f(x) = -x² + 2x - 3
f(x) = -(x² - 2x) - 3
f(x) = -(x - 1)² - 3 + (-1)²
f(x) = -(x - 1)² - 2
Vertex form: y = a(x - h)² + k where (h, k) is the vertex
So, here for function 2 vertex: Maximum (1, -2)
<h3>Conclusion:</h3>
Function 1 = Maximum (4, 1), Function 2 = Maximum (1, -2)
Function 1 has greater maximum value of (4, 1) as "1 is greater than -2"
Answer:
(1)25 pound bag (2) 10 pound bags and(1) 5 pound bag
Step-by-step explanation:
Answer:
1/52
Step-by-step explanation:
There is only one 8 of diamonds in a deck of 52 cards. The deck is properly shuffled, so every card has an equal probability of being selected. So the probability is 1/52.
