A system of equation is shown: 2x = -y + 6 -4x + 3y =8 what is the solution tonthis system of equations? (-1, -4) (1, 4) (4, 4) (-4, -1)

Exact value:  [tex]c = \frac{-11+\sqrt{165}}{22}[/tex]

Approximate value:    c = 0.08387

Round the approximate value however you need to

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Work Shown:

Let x = 1+c

[tex]\displaystyle S = \sum_{n=2}^{\infty}(1+c)^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}x^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}\frac{1}{x^n}\\\\\\\displaystyle S = \frac{1}{x^2}+\frac{1}{x^3}+\frac{1}{x^4}\ldots\\\\\\[/tex]

We have an infinite geometric series here. The first term is a = 1/(x^2). The common ratio is r = 1/x.

Each new term is found by multiplying the previous term by 1/x.

Assuming -1 < r < 1 is true, the infinite geometric sum is

[tex]S = \frac{a}{1-r}\\\\\\S = \frac{1/x^2}{1-1/x}\\\\\\S = \frac{1/x^2}{x/x-1/x}\\\\\\S = \frac{1/x^2}{(x-1)/x}\\\\\\S = \frac{1}{x^2}\div\frac{x-1}{x}\\\\\\S = \frac{1}{x^2}*\frac{x}{x-1}\\\\\\S = \frac{1}{x^2-x}\\\\\\[/tex]

Plug in S = 11 and solve for x

[tex]S = \frac{1}{x^2-x}\\\\11 = \frac{1}{x^2-x}\\\\11(x^2-x) = 1\\\\11x^2-11x = 1\\\\11x^2-11x-1 = 0\\\\[/tex]

Use the quadratic formula to find the two solutions

[tex]x = \frac{11+\sqrt{165}}{22} \approx 1.08387\\\\x = \frac{11-\sqrt{165}}{22} \approx -0.08387\\\\[/tex]

Using these x values, we find that the corresponding r values are

r = 1/x = 1/(1.08387) = 0.92262

r = 1/x = 1/(-0.08387) = -11.92321

The first r value makes -1 < r < 1 true, but the second r value does not. So we will be ignoring the solution x = -0.08387

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Using the solution that corresponds to x = 1.08387, we find the value of c is

[tex]x = c+1\\\\c = x-1\\\\c = \frac{11+\sqrt{165}}{22}-1\\\\c = \frac{11+\sqrt{165}}{22}-\frac{22}{22}\\\\c = \frac{11+\sqrt{165}-22}{22}\\\\c = \frac{-11+\sqrt{165}}{22}\\\\c \approx 0.08387\\\\[/tex]

Answer:

8.2

Step-by-step explanation:

Answer:

What equation represents this relationship? How many feet will the person travel in 10 seconds? A. y = 3x; 30

[tex]\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}[/tex]

As we know that ,

[tex] \longrightarrow [/tex] Mean= 62+78+59+89/4

[tex] \implies [/tex] Mean = 288/4

Answer:

72

Step-by-step explanation:

62 + 78 + 59 + 89 = 288

then count how many data you have

288 / 4  = 72

Answer:

C The graph shifts 4 units left.

Step-by-step explanation:

Answer: its A

Step-by-step explanation:

i took the test on flvs lol

Answer:

44.82

Step-by-step explanation:

29.88 divided by 4 is 7.47 times 6 is 44.82

Answer:

44.82$

Step-by-step explanation:

4:29.88

6:x

4x=179.28

x=44.82$

Answer:

Answer:

(-5,0)

Step-by-step explanation:

The X coordinates go down by five = -5

The Y coordinates don't change = 0

I'm pretty sure this is right :)

Hope it helped!

Answer:

Step-by-step explanation:

Hope this helps! <3

Answer:

m perpendicular 1/3

Step-by-step explanation:

Have a nice evening.

Answer: (0,-1/2)

Step-by-step explanation:

Edge :-)

Answer: (0,-1/2)

Step-by-step explanation:

9514 1404 393

Answer:

  x = 1/3

Step-by-step explanation:

The solution to ...

  a = b/x

is ...

  x = b/a

It is convenient to let a calculator do the tedious arithmetic.

  x = (0.016/0.12+0.7)/((1.2/0.375-0.2)/(6.16/15.4+0.8))

  x = 1/3

Answer:

No, the figures are similar but not congruent as although width is same, length of fig A is 3 blocks while length of fig. B is 4 blocks. For two fig. to be congruent, their l and b should be eql.

Hope u find this ans useful.

Pls mark me brainliest

Answer:

(2x-2)/x

Step-by-step explanation:

x/x-2/x+1

LCM is x

(x-2+x)/x

(2x-2)/x

Answer:

0.484

Step-by-step explanation:

Given that:

Alice defeats Carol 50% of the time.

This implies that, the probability of defeating Carol = 0.5

Also the probability of losing to Carol = 1 - 0.5 = 0.5

Similarly, Alice defeats Betty 40% of the time.

The probability of Alice defeating Betty = 0.4 and the  probability of losing to Betty = 1 - 0.4 = 0.6

However, in as much as Alice needs to win two consecutive games, the sequence which satisfies this condition are as follows:

Let W represent Win and L represent L.

Then the conditions are WWW, WWL and LWW

Since the outcome of each game is independent of the other games.

Then, the probability that Alice wins two games against Carol CBC is:

Pr(2W - CBC) = (0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5)

Pr(2W - CBC) = 0.1 + 0.1 + 0.1

Pr(2W - CBC) = 0.3

The probability that Alice wins two games against Betty (BCB) is:

Pr(2W - BCB) = (0.4 × 0.5 × 0.4) + (0.6 × 0.5 × 0.4) + ( 0.4 × 0.5 × 0.6)

Pr(2W - BCB) =  0.08 + 0.12 + 0.12

Pr(2W - BCB) = 0.32

However, the Probability of winning two consecutive games is the result of the addition of the probability of winning two consecutive games in the sequence CBC together with the probability of winning two consecutive games in the sequence of BCB.

i.e.

Pr(2W) = Pr(2W- CBC) + Pr(2W - BCB)

Pr(2W) = 0.3+0.32

Pr(2W) = 0.62

Finally, to calculate the probability that Alice will get $100 if she chooses the sequence CBC is:

[tex]\dfrac{Pr(2W -CBC)}{Pr(2W)}= \dfrac{0.3}{0.62}[/tex]

[tex]\mathbf{\dfrac{Pr(2W -CBC)}{Pr(2W)}= 0.484}[/tex]

Answer:

A. commutative property of multiplication

Step-by-step explanation:

The commutative property of multiplication ,

States that when two numbers are being multiplied, their order can be changed without affecting the product.

it is 9    aahh it says to short   well 3 times 9 is 27 then minus 17 is less than 13

Answer:

v <= 10

(-infinity, 10]

Step-by-step explanation:

3v - 17 <= 13

+17 +17

3v <= 30

3v/3 30/3

v <= 10

(-infinity, 10]

Answer:

sample space 2 inches outcome  1/52

Step-by-step explanation:

eleven wins to one lose 11 to 1

Answer:

Step-by-step explanation:

g(2)= 5-9(2)

= -13

f(g(2))= 5+3(-13)

= -34

Answer:

g(2) = -13

f(g(2)) = -34

Explanation:

For g(2), just substitute 2 in for the x, multiply, and simplify.

g(x) = 5-9(x)

g(2) = 5-9(2) = 5-18 = -13

For f(g(2)), substitute this output in for x, multiply, and simplify.

f(x) = 5 + 3(x)

f(g(2)) = 5 + 3(g(2)) = 5 + 3(-13) = 5-39 = -34

Answer:

The answer is x_> 3

Step-by-step explanation:

Answer:

x≥3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x−12≥−2x+3

Step 2: Add 2x to both sides.

3x−12+2x≥−2x+3+2x

5x−12≥3

Step 3: Add 12 to both sides.

5x−12+12≥3+12

5x≥15

Step 4: Divide both sides by 5.

5x

5

≥

15

5

x≥3

Answer:

cell wall :)

Answer:

Lysosome.

Step-by-step explanation:

If You Saw The Questions Before This One, you can see the Question: Which accurately labels the lysosome? and its X, so the answer is Lysosome

Answer:

Step-by-step explanation:

9. Alternative exterior

10. Alternate interior

11. Complementary

12. Corresponding

13. Corresponding

14. Alternate exterior

15. Vertical

16. Linear Pair

Answer: 96 books

If 6 shelves have 48 books on them, this is one half of 12 shelves, because 6 is one half of 12 shelves.

There are 12 shelves. So, multiply 48 by 2.

48 x 2 = 96.

Answer to the question = 96

Answer:

The slope is 2. As x increase y is increase and as x decrease y decrease

Answer:

yes true correct

Step-by-step explanation:

Brainly crown?

Answer:

True.

Step-by-step explanation:

I don't know if this is a true or false thing but it is true.

Answer:

Step-by-step explanation:

In the first mixture the concentration syrup is higher

Concentration syrup is higher in mixture B.

Two or more ratios made to be equal to each other is termed as proportion.

We have to use the proportional concept here by finding the concentration of syrup in 1 l of water.

Mixture A:

Concentration of syrup in 3 l of water = 2 l

Concentration of syrup in 1 l of water = 2/3 l = 0.67 l

Mixture B :

Concentration of syrup in 2.5 l of water = 1.8 l

Concentration of syrup in 1 l of water = 1.8 / 2.5 = 0.72 l

Concentration of syrup in mixture A in 1 liter of water is less than the concentration of syrup in mixture B in 1 liter of water.

Hence the concentration of syrup in mixture B is higher because concentration of syrup in mixture B in 1 liter of water is higher than the concentration of syrup in mixture A in 1 liter of water.

Learn more about Proportion here :

https://brainly.com/question/26974513

#SPJ2

Answer:

H: 4 3/4

Step-by-step explanation:

You subtract Aaron's and Siri's ages together and you get 4 3/4