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vovangra [49]
3 years ago
6

Someone please help me quick I’m timed

Mathematics
1 answer:
Lisa [10]3 years ago
8 0
It’s c because the x is exterior angles
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Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
3 years ago
Read 2 more answers
Diana bought a car for $5000 and plans to sell it to make a 20% profit. What should she sell it for to make the profit she desir
nalin [4]
You need to know 20% of $5000.  "Of" means "times".  

$5000 x 0.20 (which is 20% written as a decimal)

=$1000 profit she wants to make

$5000 (original price) + $1000 (profit) = $6000 (sale price)
4 0
3 years ago
Read 2 more answers
How do u benchmark 8/11/12 and 2/11/20
Viefleur [7K]
 6 39/40!!!!!!!!!!!!!

8 0
3 years ago
What’s the value of x? <br> y= 5x + 9<br> y= -x + 3
ser-zykov [4K]

Answer:

x=-1 y=4                                (-1,4)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
a used truck for $4,500 he made an agreement with the dealer to put $1,500 and make payments of 350 for the next 10 months that
Aneli [31]
Ist amount paid = $1500
Making $350 for 10 months = 10*350 = $3500
Total amount paid  = 1500 + 3500 = 5000
So an amount of $5000 was paid to cover the cost of $4500 within the ten month period.
I = PRT
Interest, I = 5000 - 4500 = 500Time, t = 10 months = 10/12 = (5/6) year.Principal P = 4500
R = I /(PT)  R = 500 / (4500*5/6)
R = (500*6) / (4500*5)
R = 0.1333..
R ≈ 13.33 %  per annum.

3 0
3 years ago
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