Formula for an is 3n - 11
Step-by-step explanation:
- Step 1: Equation for a(n) = a + (n - 1)d where a = - 8, d = common difference = a2 - a1 = -5 - -8 = 3
⇒ a(n) = -8 + (n - 1)3 = - 8 + 3n - 3 = 3n - 11
Answer:
x=-8 or x=2
Step-by-step explanation:
x² + 6x - 6 = 10
x² + 6x - 6 - 10 = 0
x² + 6x - 16 = 0
= (x + 8)(x - 2)
x + 8 = 0
x = -8
x - 2 = 0
x = 2
Answer:
x = 7/6 = 1.167
Step-by-step explanation:
Answer:


Step-by-step explanation:
Given
See attachment for graph
Solving (a): Increasing interval
To do this, we simply identify the interval at which the value of the graph increases.
The value has an increased interval between -2 and 1.5 (of the x-axis).
Hence, the increasing interval is:

Solving (b): Decreasing interval
To do this, we simply identify the interval at which the value of the graph decreases.
The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).
Hence, the decreasing interval is:
