Answer:
x^3-4x^2+25x-100
Step-by-step explanation:
We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root
Combining the roots into a polynomial gives us:
(x+5i)(x-5i)(x-4)
Expand:
(x^2 + 25)(x-4)
x^3-4x^2+25x-100
Answer:
Plan C will be the fastest - it will take 10 weeks
Step-by-step explanation:
Plan A will take 60 weeks
Plan B will take the longest 104 weeks
Plan D will be the fastest - it will take 12 weeks
Answer:
Step-by-step explanation:
a3 = 2
d = -5
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a4 = a3 - 5
a4 = 2 - 5
a4 = - 3
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a5 = a4 - 5
a5 = -3 - 5
a5 = - 8
Just take a4 as your answer.
Without any calculations it's evident it can't be neither B (both numbers are even, so they're divisible by 2) nor C (the numbers end in 0 and 5, so they're divisible by 5).
A.

Both numbers have a factor of 3, so they're not relatively prime.
That means it must be D. But, let's check it.

Indeed, those two numbers are relatively prime.
Answer:
D
Step-by-step explanation:
speed = space/time
24/4.3 = 5.6 ft/s