Answer:
Step-by-step explanation:
x + 6 I x³ + 2x² - 10x + 84 I x² - 4x + 14
x³ + 6x²
<u> - - </u>
-4x² - 10x
-4x² - 24x
<u> + + </u>
14x + 84
14x + 84
<u> - - </u>
0
P(x) =(x +6)* ( x² - 4x + 14) + 0
Observing there is a difference of +8 between each f(x).
The slope of this sequence is 8.(y2-y1)/(x2-x1)
Using the point slope equation,
y-y1 = m(x-x1) yields
y = 8x -4 as the answer.
The sample space has 36 possible pairs from 1,1 1,2 1,3 up to 6,5 and 6,6
(a). Three pairs add to 4 1,3 2,2 and 3,1 so P(4) = 3/36 = 1/12
(b). 6 pairs add to 7 so P(7) = 6/36 = 1/6
(c) 15 pairs add to less than 7 so P(<7) = 15/36 = 5/12
Answer:
Steps shown below
Step-by-step explanation:
We will simplify this using definitions and identities. Let's start.

Using
, we have:

Using
, we have:

Hence, proved.