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Answer:4.5
Step-by-step explanation:
A 0 1 2 3
B 0 1.5 3 4.5
Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = 
- 
= 
-
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
= + (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
Answer:
Y = 12
Step-by-step explanation:
x + 1/3y = 4
Multiply both sides of the equation by 3.
3 ⋅ 1
3 ⋅ y = 3 ⋅ 4
Simplify both sides of the equation:
1. Simplify both sides of the equation.
2. Multiply 3 by 4
How to simplify:
Cancel the common factor of 3
Rewrite the expression.
Multiply by 1
y = 3 ⋅ 4
Multiply 3 by 4
(12)
Answer:
x = ±i√2
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>
</u>
<u>Algebra II</u>
Imaginary root <em>i</em>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5x² - 2 = -12
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 2 on both sides: 5x² = -10
- [Division Property of Equality] Divide 5 on both sides: x² = -2
- [Equality Property] Square root both sides: x = ±√-2
- Rewrite: x = ±√-1 · √2
- Simplify: x = ±i√2
