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
- Subtraction Property of Equality
<u>Algebra I</u>
- Functions
- Function Notation
<u>Algebra II</u>
- Piecewise Functions<u>
</u>
<u>Calculus</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Continuous at x = 2

<u>Step 2: Solve for </u><em><u>k</u></em>
- Definition of Continuity:

- Evaluate limits:

- Evaluate exponents:

- Multiply:

- [Subtraction Property of Equality] Subtract 2 on both sides:

- Rewrite:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Limits - Continuity
Book: College Calculus 10e
The answer is
<span>D. y = 4cos(-x) - 2
proof
cosine is an even function, it means cos(-x) = cosx
so </span>y = 4cos(-x) - 2 = y = 4cos(x) - 2
Let
x = the number of tapers (each coss $1)
y = the number of pillars (each costs $4)
z = the number of jars (each costs $6)
There are 8 candles in each basket, therefore
x + y + z = 8 (1)
The cost per basket is $24, therefore
x + 4y + 6z = 24 (2)
The number of tapers equals the sum of pillars and jars, therefore
x = y + z (3)
Substitute (3) into (1) and into (2).
y + z + y + z = 8
2y + 2z = 8
y + z = 4 (4)
y + z + 4y + 6z = 24
5y + 7z = 24 (5)
From (4), y = 4 -z. Substitute into (5).
5(4 - z) + 7z = 24
2z + 20 = 24
2z = 4
z = 2
y = 4 - z = 4 - 2 = 2
x = y + z = 2 + 2 = 4
Answer: 4 tapers, 2 pillars, 2 jars.
Answer:
Disjoint is the correct answer.
Think about it like 3 is out of 100. Your answer is 3.