Answer: x = {-1, -3, 2}
<u>Step-by-step explanation:</u>
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
|<u> ↓ 1 3 -2 </u>
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
|<u> ↓ -1 -1 6 </u>
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Adjacent angles are angles that are side by side (right next to each other). They share a side. #7 and 11 are pairs of adjacent angles.
Vertical angles are angles that are directly across from each other. They are the same angle. #8 and 9 are vertical angles.
#10 and 12 do not fit either of these descriptions so they are neither.
The answer is: "
105 mi. " .
____________________________________________Explanation:____________________________________________Note that: "that amount of time" is "3 hours".
→ 
= ? ;
→ The units of "h" (for "hour/s") cancel out to "1" ; since ("h/h = 1") ;
→ and we are left with (35 * 3) mi.
= 105 mi. ____________________________________________ The answer is: "
105 mi. " .
____________________________________________
Answer:
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A OR b means that you add the individual probabilities...
P(<4)=2/5 and P(even)=1/5 so
P(<4 or even)=3/5