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pantera1 [17]
3 years ago
7

How many solutions can be found for the linear equation?

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

B) One solution

Step-by-step explanation:

6(3x*2+4)-10=1(4x+16)

6(6x+4)-10=48x+192

36x+14=48x+192

36x+14=48x+192

36x-48x=192=14

-12x=178

x=-80/6

Hoped this help and is correct:)

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I'm guessing S^20 is actually referring to the 20th partial sum S_{20}, with

S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)

in the arithmetic case, and

S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}

in the geometric case.

(a) Combining like terms, we have

S_{20}=20+0.1(1+2+\cdots+18+19)

and invoking the formula

1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2

we end up with

S_{20}=20+0.1\dfrac{19\times20}2=39

(b) Multiply S_{20} by 1.1, then subtract this from S_{20}:

1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}

S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}
\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275
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3 years ago
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vovikov84 [41]

Answer:

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Step-by-step explanation:

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3 years ago
The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 player, in rou
Aleks04 [339]

Answer:

a_{n} = a_{1} (\frac{1}{2} )^{n - 1} where a_{1} = 256.

The number of players compete in round 7 will be 4.

Step-by-step explanation:

The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 players, in round 2 there are 128 players, and so on.

So, the number of players is multiplied by \frac{1}{2} gives the number of players in the next round.

Therefore, the explicit function of number of players in nth round is given by  

a_{n} = a_{1} (\frac{1}{2} )^{n - 1} where a_{1} = 256.

Therefore, the number of players compete in round 7 will be a_{7} = 256 \times (\frac{1}{2} )^{(7 - 1)}  = 4. (Answer)

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3 years ago
The diagram shows a cuboid.<br>4 cm<br>5 cm<br>9 cm<br>What is the surface area of the cuboid?​
Salsk061 [2.6K]

Answer:

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Step-by-step explanation:

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3 years ago
Calculate the value of x if 2x/3=8/5
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Answer:

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Step-by-step explanation:

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Or 2⅖

5 0
3 years ago
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