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tino4ka555 [31]

3 years ago

10

(6783+2684)+2566-25634+(-38757y678+(678)y678)(6788+5445)-78+(5534(78)+684)67y678a456=?

1 answer:

Whitepunk [10]3 years ago

7 0

−

2259387936

a

456

y

678

−

465820407

y

678

−

13601

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Solve the inequality for x<br> 3^(6x+18)<27^(3x)

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Terms/Coefficients
Factoring

<u>Algebra II</u>

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em /> $\displaystyle 3^{6x + 18} < 27^{3x}$ <em />

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

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4 years ago

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