Answer:
x = 2 or x = 1 or x = -1
Step-by-step explanation:
Solve for x over the real numbers:
x^5 - 4 x^4 + 4 x^3 + 2 x^2 - 5 x + 2 = 0
The left hand side factors into a product with three terms:
(x - 2) (x - 1)^3 (x + 1) = 0
Split into three equations:
x - 2 = 0 or (x - 1)^3 = 0 or x + 1 = 0
Add 2 to both sides:
x = 2 or (x - 1)^3 = 0 or x + 1 = 0
Take cube roots of both sides:
x = 2 or x - 1 = 0 or x + 1 = 0
Add 1 to both sides:
x = 2 or x = 1 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 2 or x = 1 or x = -1
Answer:
$7.85
Step-by-step explanation:
Per pound = 1
Ratios:
Answer would be B. Sorry if my handwriting is messy or if I didn’t explain enough
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
1) Angle 5π / 3 radians:
Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.
2) Angle 5π / 6 radians:
Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.
3) Conclusion:
Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3
Note that the tangent is negative in both second and fourth quadrants.
If correct please give brainliest
<em>Stay safe and healthy</em>
Thank You
