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BabaBlast [244]
3 years ago
9

Three roots of the polynomial equation x4 - 4x3 - 2x2 + 12x + 9 = 0 are 3, -1 and -1. Explain why the fourth root must be a real

number. Find the fourth root.
Mathematics
1 answer:
LiRa [457]3 years ago
3 0
Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).

However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).

In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.

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What is 45=m(25)+b solving for m
STatiana [176]

Answer:

\frac{45-b}{25}

Step-by-step explanation:

given

45 = 25m + b ( isolate the term in m by subtracting b from both sides )

45 - b = 25m ← divide both sides by 25

\frac{45-b}{25} = m

7 0
3 years ago
The pitch of a roof is its slope. The roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft.
PIT_PIT [208]
If we discuss this as if it is a triangle then the "rise" is the vertical side and the "run" is the adjacent side.
So the ratio of the rise to the run is 8 / 15 which equals <span> <span> <span> 0.5333333333 </span> </span> </span>
To find the angle of this roof pitch we look up the arc tangent of <span> <span> <span> 0.5333333333  </span> </span> </span> and we find that is 28.072 Degrees

Trigonometry Calculator:
http://www.1728.org/trigcalc.htm




4 0
3 years ago
Which measures of central tendency would be affected if the outlier 11 was added to the following set 27,20,34,37,21,42,39
MrRa [10]

Answer:

Median will not be affected by the outlier.

Step-by-step explanation:

With the outlier, the mean will be dragged way down. The median will likely be about the same. Mean is non-resistant to outliers, median is resistant.

Hope this helps!

5 0
3 years ago
PLEASE HELP ME :) I DID THIS PROBLEM 7 TIMES AND ITS STILL WRONG PLEASE
fiasKO [112]

Answer: $95450

Step-by-step explanation:

We obviously want to look in the 3rd column.

Income that can be taxed is within interval for 33%, so (0.33)(315000) = $103950.

Subtract the tax credit, and we get $103950 - $8500 = $95450.

7 0
2 years ago
Twice the smallest of three consecutive odd integers is nine more than the largest. find the integers.
polet [3.4K]
 let   x        x +2       x+4     three consecutive odd <span>integers


2x =9+ x+4   </span>Twice the smallest<span> is nine more than the largest 
 2x - x= 13

x= 13  the first 
the second integer 15   the third  17 </span>
7 0
3 years ago
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