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))
Answer:
1/-20 or -0.05
Step-by-step explanation:
If he had 12, he puts 6 of those in a single box, after that box is filled, he has six more he can put in. Kelvin has 2 boxes!
we know that
Average Rate of Change. is the change in the y-value divided by the change in the x-value for two distinct points on the graph
So
in this problem
substitute the values in the formula above
Divide by 
both numerator and denominator
therefore
the answer is
Answer:
D.) 0.9990
Step-by-step explanation:
Given :
Number of questions = 10
True or False questions ; probability of success, p = 1/2 = 0.5
Using binomial distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of getting atleast one correct answer :
P(x ≥ 1) = p(1) + p(2) +... P(x = 10)
Using a binomial probability calculator :
P(x ≥ 1) = 0.9990
