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Paladinen [302]
3 years ago
11

Need help solving for X

Mathematics
1 answer:
Bond [772]3 years ago
6 0
X= -2

look at the 6x-12 you divide -12 by 6 and get x=-2
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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
Joe nas to take two quizzes tomorrow. He nas only enough time to study one of them. • The science quiz has 7 true-or-false quest
Nostrana [21]

Answer:

C.

Step-by-step explanation:

Science questions are T/F. That's .5 or \frac{1}{2} chance to get it right.

7 questions. Each with a \frac{1}{2}.

That's (\frac{1}{2})^{7}  

(\frac{1}{2})^{7} = \frac{1}{128} = .0078 = .008 rounded

English questions are multiple choice. 4 choices. That's .25 or \frac{1}{4}

3 questions. Each \frac{1}{4}

That's (\frac{1}{4})^{3}

(\frac{1}{4})^{3} = \frac{1}{64} = .0156 = .016 rounded

6 0
3 years ago
Jamal is a door to door vacuum salesman. His weekly salary, S , is $250 plus $50 for each vacuum he sells. This can be written a
Aleks04 [339]

Answer:

31 vacuums

Step-by-step explanation:

1800 = 250 + 50v

1800 - 250 = 50v

50v = 1550

v = 1550 / 50

v = 31

He sold 31 vacuums.

8 0
3 years ago
There are 45 M&Ms in a standard size bag. At 360 calories per bag,
Artyom0805 [142]

Answer:

about 8 calories per M&M

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve the equation below for x. -1 2(3x - 4) = 11
Lesechka [4]

Answer:

x= 37/36

Step-by-step explanation:

−12(3x−4)=11

Step 1: Simplify both sides of the equation.

−12(3x−4)=11

(−12)(3x)+(−12)(−4)=11(Distribute)

−36x+48=11

Step 2: Subtract 48 from both sides.

−36x+48−48=11−48

−36x=−37

Step 3: Divide both sides by -36.

−36x

−36

=

−37

−36

x=

37

36

Answer:

x=

37

36

8 0
3 years ago
Read 2 more answers
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