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PolarNik [594]
3 years ago
7

Consider the graphic the linear equation 2x-5y=10

Mathematics
1 answer:
erica [24]3 years ago
3 0
The answer is y=2/5x-2
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Consider the infinite geometric series (∞/Σ/n=1) * -4(1/3)^{n-1}.
raketka [301]
The first four terms of the series probably refer to the first four partial sums.

\displaystyle\sum_{n=1}^1-4\left(\frac13\right)^{n-1}=-4\left(\frac13\right)^{1-1}=-4
\displaystyle\sum_{n=1}^2-4\left(\frac13\right)^{n-1}=-\frac{16}3
\displaystyle\sum_{n=1}^3-4\left(\frac13\right)^{n-1}=-\frac{52}9
\displaystyle\sum_{n=1}^4-4\left(\frac13\right)^{n-1}=-\frac{160}{27}

which you can compute either by adding one term at a time, or using the well-known formula,

\displaystyle\sum_{n=1}^kar^{n-1}=a\frac{1-r^{k+1}}{1-r}

(I can provide a link to a derivation I gave in a nearly identical question in the comments)

The series converges as k\to\infty if and only if |r|, which is certainly the case here, since -1.

Extrapolating from the formula above, the sum of the convergent series is

\displaystyle\sum_{n=1}^\infty ar^{n-1}=\frac a{1-r}

so the sum for this series is \dfrac{-4}{1-\frac13}=-6.
5 0
4 years ago
A jar contains six red balls three green balls five white balls and seven yellow balls to balls are chosen from the jar with tha
Llana [10]
6+3+5+7= 21 balls total
Choose 2 balls

21C2= 210 total number of ways you could have chosen the two balls

(nCr- n=total, r=choose)

Total green balls= 3

You choose first green ball out of 3

3C1

Then you choose second green ball out of the 2 green balls left

2C1

Multiply these two outcomes

3C1•2C1= 6

Probability=

6/210= 1/35
3 0
3 years ago
Let u = <7, -3>, v = <-9, 5>. Find 4u - 3v.
Katyanochek1 [597]

Answer:

a.<55, -27>

Step-by-step explanation:

The given vectors are u = <7, -3>, v = <-9, 5>.

We want to find 4u - 3v.

We substitute the vectors and multiply by the scalars.

4u - 3v=4<7, -3>-3 <-9, 5>.

4u - 3v=<28, -12>- <-27, 15>.

4u - 3v=<28--27, -12-15>

4u - 3v=<55, -27>

7 0
3 years ago
Simplify the expression. x^5/x^9
ryzh [129]

Answer:

1/x^4

Step-by-step explanation:

8 0
3 years ago
Help me solve this..! Please!
stiv31 [10]

Answer:

x=2

Solve for x by simplifying both sides of the equation, then isolating the variable.


3 0
3 years ago
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