The value of that fraction depends on the value of 'x'. Whatever 'x' happens
to be at the moment, the fraction is equal to about 61.1% of it. And if 'x' ever
changes, then the value of the fraction also changes, immediately.

3 0

3 years ago

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

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

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

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

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

Step 2: Solve for x

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: $\displaystyle x > 6$

8 0

3 years ago

Read 2 more answers

The planet Jupiter is approximately 780 million km from the Sun.

iren2701 [21]

Answer:

light takes 3×10^5 second s

so total seconds taken by the light =780×10^6/3×10^5

=260×10
=2600 seconds

1 min=60sec

no. of min=2600/60

=43333min

8 0

3 years ago

A science class has a ratio of 3 boys and 2 girls. Can there be 24 students in the class?

guajiro [1.7K]

Answer:

Let 3x be the number of boys

Let 2x be the number of girls

3x + 2x = 24

5x = 24

x = 4.8

3(4.8) = 14.4 boys

2(4.8) = 9.6 girls

There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense.

For example, you and I are both 1 person, we can't be half a person or 0.6 of a person, only 1.

3 0

3 years ago

Read 2 more answers