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Nadya [2.5K]
3 years ago
7

How to Simplify Rational Expressions?

Mathematics
1 answer:
IceJOKER [234]3 years ago
8 0
To simplify rational expressions, simply see and check if there is a common number or same number that can be divided from in both. If not here, you would simply multiply the numbers together.

Then simplify if you would need to.

It would be 85x/6
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Find the generating function for the sequence 1,1,1,2,3,4,5,6,....
marin [14]

Answer:

P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1[/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

1,1,1,2,3,4,5,6,...

the generating function would be

P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\

we can multiply P(x) by x to get

xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...

Note that

P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\   \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)

which for \mid x \mid < 1 can be rewritten as

(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}

8 0
2 years ago
In G(n) = 6(0.5)n-1, what is the first term of the sequence?
Rashid [163]
I would say B, but don't quote me on it
3 0
2 years ago
while justin is in training he is to drink 500ml of water 4 times per day how many liters of water will that be for one week
taurus [48]

Answer:

14000 liters

Step-by-step explanation:

500 * 4 = 2000

2000 * 7 = 14000

6 0
3 years ago
Please help due today
alisha [4.7K]
77.) x= {-5, 6}
78.) x= {-4, 9}
79.) x= {5/3, 2}
80.) x= {1/9, 3}
81.) x= {-6, 18}
82.) x= {-3√3 +4, 3√3 +4}
83.) x= {-7, -3}
84.) x= {-√85 +9 /2, √85 -9 /2}
6 0
2 years ago
Which graph represents the function h(x) = –(x + 6)3 – 3?​
suter [353]

Answer:

Step-by-step explanation:

Please, if you're indicating exponentiation, use the symbol " ^ " to indicate it.  Thanks.

The parent function here is f(x) = x^3.

                                              g(x) = (x + 6)^3 has the same graph as does

f(x) = x^3, except that the entire graph of x^3 is translated 6 units to the left.

                                              h(x) = -(x + 6)^3 has the same graph as

does g(x), except that the entire graph of g(x) is reflected in the x-axis.

The graph of h(x) = h(x) = –(x + 6)3 – 3 is the same as that of h(x) except that the entire graph is translated downward by 3 units.

8 0
3 years ago
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