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: Your Dumb
Step-by-step explanation:
D U M B
0<4x + 8<12 BADDA-BING-BADDA-BOOM!!! :-)
Answer:48
Step-by-step explanation:6 rows times 8 people in each row
The last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
A few fundamental principles apply to density curves:
- A density curve's area beneath it represents probability.
- A density curve's area under it equals one.
- Base x height in a uniform density curve equals one.
- The likelihood that x = a will never occur.
- The likelihood that x < a is the same as that of x ≤ a.
Following the rules above, we can see from graph B that the curve is above the horizontal axis. That shows that the probabilities are positive which is a necessity. Moreover, the area under the curve must also be 1. That is also satisfied.
Hence, the last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
Learn more about density curves here-
brainly.com/question/18345488
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