Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
Answer:
339.5
Step-by-step explanation:
-67.9x+679= y
-67.9*5+679=
-339.5+679= 339.5
Answer:
The Pythagorean identity states that

Using that we can rewrite the left denominator as:

Which can be factored as

The numerator we can expand as:

On the right hand side, let's multply numerator and denominator with (1 - sin t):
The total formula then becomes:

There you go... left and right are equal.
You just multiply the x value by 5
-2(5)=-10
-1(5)=-5
0(5)=0
3(5)=15
6(5)=30
9(5)=45