Answer:
The possible rational roots are

Step-by-step explanation:
We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.
The factors of constant term are 
The factors of leading coefficient are 
From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

Answer:
X=5,-2
Steps:
Get everything to the same side:
X^2-3x-10=0
Then factor:
(X-5)(x+2)=0
Answer:
D. 647.8 miles per hour; S86.5°E
Step-by-step explanation:
We assume the wind direction is supposed to be S58°E. Then the bearing of the plane measured clockwise from north is 90°, and the direction the wind is blowing toward has a bearing of 122°. The resultant speed and direction is the sum of the two vectors, which is easily found using a suitable calculator:
583∠90° + 75∠122° = 647.8∠93.5°
The bearing of 93.5° translates to the direction S86.5°E.
_____
An angle east of south is subtracted from 180° (south) to find the equivalent bearing.