Answer:
Step-by-step explanation:
This is an arithmetic progression.
difference d = (-8) - (-2) = (-8) + 2 = (-6).
nth term = a + (n-1)d
Answer: y = 3x + 1
<u>Step-by-step explanation:</u>
The equation is in Slope-Intercept format: y = mx + b where
- m is the slope <em>(difference in y's over difference in x's)</em>
- b is the y-intercept <em>(value of y when x = 0)</em>

b = 1 <em>refer to the table that shows y = 1 when x = 0</em>
Now input m = 3 and b = 1 into the Slope-Intercept formula:
y = 3x + 1
Answer:
all values! x ∈ R
Step-by-step explanation:
The derivative f'(x) = 6x²-6x+12 is a parabola opening upward, with its (positive!) minimum at (0.5, 11.5). If the derivative is always positive, the function must be increasing everywhere!
Answer:
x = 4 ± 
Step-by-step explanation:
Given
x² - 8x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take the square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ±