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dlinn [17]
3 years ago
12

What is the remainder when (3x3-2x+4x-3)is divided by (x2+3x+3)

Mathematics
1 answer:
sergeinik [125]3 years ago
4 0
If you do long division youll get the remainder which is: 28x + 30
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.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .
EastWind [94]

We can employ a simple repeated decimal trick:

x=1.111\ldots

0.1x=0.111\ldots

\implies x-0.1x=1\implies0.9x=1\implies x=\dfrac1{0.9}=\dfrac{10}9

###

Alternatively, we can compute the partial sum of the series.

\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}

S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}

0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}

\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}

\implies S_n=\dfrac{10}9-\dfrac9{10^n}

As n\to\infty, the second term vanishes and we're left with \dfrac{10}9. Notice that this is really just a more formal version of the earlier trick.

6 0
3 years ago
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What is the y-intercept of y + 8 =2x<br><br> A. 8<br> B. -8<br> C. 2<br> D.4
gulaghasi [49]
Im not good at math so i use math-way.com
 


7 0
3 years ago
What number is 10 times as much as 2.357?
IRINA_888 [86]
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A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis. Which steps should be used t
sdas [7]

Answer:

see the explanation

Step-by-step explanation:

we have

y-4=\frac{1}{3}(x+2)

This is the equation of a line in point slope form

where

the point is (-2,4)

the slope is m=1/3

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

To graph the line

1. Plot the point (–2,4).

2. From that point, count left 3 units and down 1 unit and plot a second point.

3. Draw a line through the two points

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3 years ago
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Please help<br> It hard for me
gizmo_the_mogwai [7]

Answer:

The wolf lives in a cave = オオカミ は どうくつ に すんで います

The teacher looked at the animals = せんせい は どうぶつ を みました

Step-by-step explanation:

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