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ASHA 777 [7]
3 years ago
6

Use the power series representation of f(x)=

itle=" \frac{1}{1-5x} " alt=" \frac{1}{1-5x} " align="absmiddle" class="latex-formula"> to find a power series presentation of g(x)=\frac{15}{1-5x}
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0
For |5x|, we have

\dfrac1{1-5x}=\displaystyle\sum_{n\ge0}(5x)^n

and so

g(x)=\dfrac{15}{1-5x}=15\displaystyle\sum_{n\ge0}(5x)^n=3\sum_{n\ge0}5^{n+1}x^n

which is, again, only valid for |5x|.
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Well what is 30x3 (because that is how you would find what is one third of unknown) then you find the answer witch is 90$
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miles has 24 baseball cards. he wants to display the cards in even rows. 2 different arrays to show how miles could display his
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Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can che
mihalych1998 [28]

Answer:

The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.

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3 years ago
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Which of the following graphs represents the equation y+2=3(x-1)
Arturiano [62]

For this case we have the following equation, in a linear way:

y + 2 = 3 (x-1)

This expression can be written in the form y = mx + b

Where "m" is the slope and "b" is the cut point with the y axis.

Rewriting the given expression we have:

y + 2 = 3x-3\\y = 3x-3-2\\y = 3x-5

Thus, the slope is 3 and the cut point is -5.

To graph, we must find two points through which the line passes, so, we perform the following steps:

Step 1:

We do x = 0

y = 3 (0) -5\\y = 0-5\\y = -5

Thus, the point (x1, y1) = (0, -5)

Step 2:

We doy = 0

0 = 3x-5\\5 = 3x

x =\frac{5}{3}

Thus, the point (x2, y2) = (\frac{5}{3},0)

Answer:

See attached image


7 0
3 years ago
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The circumference of a circle is 28 x inches. What is the length of the radius of this circle?
Gala2k [10]

Answer:

The answer to your questions radius = 14 in

Step-by-step explanation:

Data

Circumference = 28π in

radius = ?

Circumference is defined as the distance around the edge of a circle.

Formula

Circumference = 2π radius

-Solve for radius

radius = Circumference /2π

-Substitution

radius = 28π / 2π

-Simplification

radius = 28/2

-Result

radius = 14 in

7 0
3 years ago
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