Answer:
Slope: 
Y-intercept: 399
Slope-intercept form: 
Step-by-step explanation:
1. The equation in Standard form is given in the problem:

2. Then, to write the equation of the line in slope-intercept form
, where <em>m</em> is the slope and <em>b</em> is the y-intercept, you must solve for <em>y</em> as you can see below:

3. Therefore, the slope and the y-intercept are:

Answer:
-1.375
Step-by-step explanation:
Answer:
x = 1
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(4x - 5) - 4x + 1 = -6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 12x - 15 - 4x + 1 = -6
- Combine like terms: 8x - 14 = -6
- Isolate <em>x</em> term: 8x = 8
- Isolate <em>x</em>: x = 1
<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(4(1) - 5) - 4(1) + 1 = -6
- Multiply: 3(4 - 5) - 4 + 1 = -6
- Subtract: 3(-1) - 4 + 1 = -6
- Multiply: -3 - 4 + 1 = -6
- Subtract: -7 + 1 = -6
- Add: -6 = -6
Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
The answer is: 7x + 5 (x + 6) = 138 7x + 5x + 30 = 138 12x = 138 - 30 12x = 108 x = 9 $ = regular pay and overtime = 9 + 6 = 15 $...
Part 1:the answer is 1/36
each time we roll the dice, the whole probabilities are 6
if we roll it two times
6*6=36
part 2
it's 1/8
each time we flip a coin, the whole probabilities are 2
if we flip it 3 times
2*2*2=8
good luck