Answer: B
<u>Step-by-step explanation:</u>
x³ - 3x² + 16x - 48 = 0
→ x²(x - 3) + 16(x - 3) = 0
→ (x² + 16) (x - 3) = 0
→ (x² - (-16)) (x - 3) = 0
→ (x - 4i)(x + 4i)(x - 3) = 0
→ x - 4i = 0 x + 4i = 0 x - 3 = 0
→ x = 4i x = -4i x = 3
2 imaginary roots and 1 real root
Answer:
n = 1.2
Step-by-step explanation:
3n = 3.6
Divide both sides by 3 to get n by itself.
3.6/3 = 1.2
n = 1.2
Answer:
option B
Given : |x + 4| < 5
A. –5 > x + 4 < 5
B. –5 < x + 4 < 5
C. x + 4 < 5 and x + 4 < –5
D. x + 4 < 5 or x + 4 < –5
In general , |x|< n where n is positive
Then we translate to -n < x < n
|x + 4| < 5
5 is positive, so we translate the given absolute inequality to
-5 < x+4 < 5
So option B is correct
Answer:
∠1 = 96°
∠2 = 84°
∠3 = 84°
Step-by-step explanation:
∠1 = 96°
∠2 = ∠3
∠1 + 96 + ∠2 + ∠3 = 360°
∠2 = (360 - 96 - 96)/2 = 84°
∠3 = 84°