Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Answer:
m = 10
Step-by-step explanation:
According to the picture attached, we can see the angles formed.
The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.
So,
5m+100+2m+10 = 180
5m+2m=180-100-10
7m = 70
m = 10
Answer:
12:45
10:45 + 15 minutes = 11:00
11:00 + 1 hour and 45 minutes = 12:45
Think of it as:
11:00
+1.45
———
12:45
The interest figure always means the interest for a year.
120 days is 1/3 of a year, so you'll only earn 1/3 of 6.5% .
6.5% = 0.065
1/3 of that is 0.02167 .
(0.02167) x (7,000) = 151.67
The correct answer is: [B]:
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<span> f(x) = (x - 9)(x + 9)(x + 5); x= 9, -9, -5 .
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