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wel
3 years ago
12

1/3x + 1/3 = 7x + 5/ 2 find x

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

-13/40 or -0.325

Step-by-step explanation:

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What is the sum of the series infinity e n-1 -7(3/8)^n?
soldier1979 [14.2K]

Let

S_N = \displaystyle \sum_{n=1}^N -7 \left(\frac38\right)^n = -7\left(\dfrac38 + \dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \cdots + \dfrac{3^N}{8^N}\right)

Then

\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)

S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)

\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)

S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)

As N\to\infty, the exponential term will converge to zero, so the infinite sum converges to

\displaystyle \sum_{n=1}^\infty -7 \left(\frac38\right)^n = \lim_{n\to\infty} S_N = \boxed{-\dfrac{21}5}

6 0
2 years ago
In general, why is a common denominator necessary to add and subtract fractions?
gogolik [260]

Answer:

Step-by-step explanation:

makes it easier.

5 0
3 years ago
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Calculate the weighted mean from the following sales, $400, 700, 300, 600, 300 ,400, 700?,
BaLLatris [955]
About 486.

Just add all of the numbers, and divide by the number of numbers(Don't question).
3 0
4 years ago
How to combine like terms? Plz help meh I’m at 2% batt.
Darya [45]
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3 years ago
Follow these steps using the algebra tiles to solve the equation -5x + (-2) = -2x + 4
Kobotan [32]

Answer:

x=-2

Step-by-step explanation:

−5x−2+2x=−2x+4+2x

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Step 2: Add 2 to both sides.

−3x−2+2=4+2

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Step 3: Divide both sides by -3.

−3x

−3

=

6

−3

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3 0
3 years ago
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