3/(<em>x</em> ² - 1) = 3/((<em>x</em> - 1) (<em>x</em> + 1)) = <em>a</em>/(<em>x</em> - 1) + <em>b</em>/(<em>x</em> + 1)
==> 3 = <em>a</em> (<em>x</em> + 1) + <em>b</em> (<em>x</em> - 1)
==> 3 = (<em>a</em> + <em>b</em>) <em>x</em> + <em>a</em> - <em>b</em>
==> <em>a</em> + <em>b</em> = 3 and <em>a</em> - <em>b</em> = 0
==> <em>a</em> = <em>b</em>
==> <em>a</em> + <em>b</em> = 2<em>a</em> = 3 ==> <em>a</em> = 2/3 and <em>b</em> = 2/3
So you have
3/(<em>x</em> ² - 1) = 2/(3(<em>x</em> - 1)) + 2/(3(<em>x</em> + 1))
<u>Answer:</u>
The correct answer option is (5, -6).
<u>Step-by-step explanation:</u>
We know that the following are the coordinates of a point:
If this point is reflected through y axis, we are to find the coordinates of its image?
If a point is reflected through y-axis, the sign of the x coordinate is changed so we get:
(5, -6)
Answer:
1 is biased, 2 isn't, 3 is biased, 4 isnt
Step-by-step explanation:
If you ask a question to people in a group who are already clearly for a certain topic then it is biased. For survey to not be biased, the people need to be chosen at random. Ask students what their favorite class is, or ask flight attendants where their favorite destination to travel to is. Dont use a group who has any relation to the survey at hand. Asking band students about funding for band is biased, as well as asking people who are at a SOCCER GAME what their favorite sport is.
Answer:
Step-by-step explanation:
<u>Let the integers be:</u>
- n, n + 1, n + 2 and n + 3
<u>Their sum is 114:</u>
- n + n + 1 + n + 2 + n + 3 = 114
<u>Solving for n:</u>
- 4n + 6 = 114
- 4n = 108
- n = 108/4
- n = 27
<u>The numbers are:</u> 27, 28, 29 and 30
Hi, the answer is ;
Answer:
12 dimes and 27 nickels
Step-by-step explanation:
.05N + .1d = 2.55
N= 3d - 9
0.05 (3d-9) + 0.1d = 2.55
0.15d - 0.45 + 0.1d = 2.55
0.25d = 2.55 + 0.45
0.25d = 3
D = 12
N = 3 (12) - 9
N = 36 - 9
N = 27
