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1 answer:
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Answer:
J. The equation has one real solution and two complex solutions.
Step-by-step explanation:
Complex solutions come in pairs, so there can only be an even number of them. So we can rule out G, H, and K.
To find the other roots, we can factor using either long division or grouping. To use long division, see the attached picture. To use grouping:
3x³ − 4x² + x − 10 = 0
3x³ − 6x² + 2x² + x − 10 = 0
3x² (x − 2) + (2x + 5) (x − 2) = 0
(x − 2) (3x² + 2x + 5) = 0
The other factor is 3x² + 2x + 5. The discriminant of this is (2)² − 4(3)(5) = -56. Since the discriminant is negative, the roots are complex.
Answer:
10 miles
Step-by-step explanation:
Given: Boat goes hours with 8 mph (i)
Boat goes hours with 12 mph (ii)
Now, lets find out distance separately to get total distance.
Formula for finding distance is
D=
D= (i)
D=
∴ D1= 6 miles (i)
D= (ii)
∴D2= 4 miles (ii)
To find total distance, we will add d1 and d2
Total distance =
∴ Total distance =
= 10 miles is the total distance covered by boat in all this time.