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3 years ago

Y=-2/9x+2 turn this linear equation into standard form

1 answer:

3 0

Hi there!

Standard form is ax + by = c.

Now, we just need to simplify the equation enough so that we can get the answer:

y = -2/9x + 2
2/9x + y = 2

Since 2/9x + y = 2 is in standard form, it'd be the answer.

Hope this helps!

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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

If an arena hosts a concert for the same artist two years in a row and earns $1,500,000 in revenue during year one and $975,000

user100 [1]

The percentage decrease is 35%.

Step-by-step explanation:

Given,

Revenue generated in first year = Old value = $1,500,000

Revenue generated in second year = New value = $975,000

Change = New value - Old value

Change = 975000 - 1500000= -$525000

The negative sign indicates the decrease.

Percent decrease = $\frac{Change}{Old\ value}*100$

Percent decrease = $\frac{525000}{1500000}*100\\$

$Percent\ decrease=\frac{52500000}{1500000}\\\\Percent\ decrease = 35\%$

The percentage decrease is 35%.

Keywords: percentage, subtraction

Learn more about percentages at:

#LearnwithBrainly

4 0

3 years ago

Which company’s tower holds the most water?

GuDViN [60]

Answer: First Option

Step-by-step explanation:

The formula to calculate the volume of a cylinder is:

$V = \pi(\frac{d}{2})^2*h$

Where d is the diameter of the cylinder and h is the height.

Notice that the term d is squared. This means that to increase the volume of a cylinder it is more efficient to increase its diameter as well. Therefore, look for the cylinder with the largest diameter among the options.

The first cylinder is 90 ft in diameter and 40 ft in height and its volume is

$V = \pi(\frac{90}{2})^2*40$