Answer:
y = 6x - 9
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (4, 15)
Point (-1, -15)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract:
- Divide:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 6x + b
- Substitute: -15 = 6(-1) + b
- Multiply: -15 = -6 + b
- Isolate <em>b</em>: -9 = b
- Rewrite: b = -9
<u>Step 4: Write linear equation</u>
<em>Substitute in all variables.</em>
y = 6x - 9
And we have our answer!
The Horizontal Line Test states that; if when drawing a horizontal line to the graph of a function, this line cuts the function at more than one point, the inverse of that function is not a function.
Applying the test for graphs attached:
We can conclude the inverse of graphs number 1, number 2 and number 4, are not functions because the lines cut in mere than one point.
15(x + 1) + 10(x) = 30(4) - 6( 2x - 1) <em>multiplied by 30 to clear the denominator</em>
15x + 15 + 10x = 120 -12x + 6 <em>distributed</em>
25x + 15 = 126 - 12x <em>added like terms</em>
37x + 15 = 126 <em>added 12x to both sides</em>
37x = 111 <em>subtracted 15 from both sides</em>
x = 3 <em>divided both sides by 37</em>
Answer:
d≈21.99
Step-by-step explanation: