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3 years ago

Write an equation in point-slope form for the line that has the given slope and that contains the given point. slope 4/5 ,(8,2)

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

6 0

Hello,

The equation is y-2=4/5(x-8)==>y=4/5x-22/5 or 4x-5y=22
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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]: $\displaystyle (b^m)^n = b^{m \cdot n}$
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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

Which of the following numbers is a rational but not a integer

Temka [501]

Rational numbers are numbers that can be turned into a fraction. They can be negative or positive.
Integers are whole numbers. They can be negative or positive.

Numbers such as 0.10 are rational because they can be turned into a fraction
0.10 = 1/10....and since it is not a whole number, it is not an integer.

8 0

2 years ago

PLS HELP!!! There are 42 new houses being built in a neighborhood. Last month, 2/3 of them were sold. This month, 2/7 of the rem

Eva8 [605]

Answer:

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Step-by-step explanation:

42 divided by 2/3 = 7

7 divided by 2/7 = 0.5

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