Answer:
Option (B)
Step-by-step explanation:
Given polynomial in the question is,
x³ - 7x² + 13x - 3
One factor of the polynomial is (x - 3).
That means x = 3 is a zero factor of the polynomial.
For the other factor,
By using synthetic division,
3 | 1 -7 13 -3
<u> 3 -12 3 </u>
1 -4 1 0
= (x² - 4x + 1)(x - 3)
Therefore, the other factor of the polynomial is (x² - 4x + 1).
Option (B) will be the answer.
In order to find the sum of the given rational expressions above, here are the steps.
Firstly, you need to find the LCM of the least common denominator.
So it would look like this:
<span>3x-1 + 3x (3x-1)(x-1) + (2x)(3x)
------ ------- = ---------------------------
2x x-1 2x(x-1)
3x^2-4x+1+6x^2
----------------------
2x(x-1)
And the final result would be this:
9x^2-4x+1
--------------
2x(x-1)
</span>9x^2-4x+1
--------------
2x^2-2x
<span>
Hope that this is the answer that you are looking for.
</span>
They could have assembled total 336 different possible crews.
<em><u>Explanation</u></em>
Total number of trained pilots is 9 and geologists is 4.
The crew should be consisted of 2 pilots and 1 geologist. That means, <u>2 pilots are chosen from total 9 and 1 geologist is chosen from total 4</u>.
Number of ways for choosing 2 pilots from 9
and
Number of ways for choosing 1 geologist from 4 
So, the total possible number of different crews they could have assembled 
Written in 2-point form, the equation of the line is
y = (y2-y1)/(x2-x1)·(x-x1) +y1
y = (3-(-5))/(-6-(-4))·(x-(-4)) + (-5)
y = 8/-2·(x +4) - 5
y = -4x -21
The value of b is -21.
Answer:
The experiment design used in this case is the between-subjected design.
Step-by-step explanation:
Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.
In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.
Then after two weeks period they measured how successful the species were in each ecosystem.
The experiment design used in this case is the between-subjected design.