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3 years ago

Solve: 3x+y=6 4x-2y=18 show all work pls!!!

Mathematics

1 answer:

olasank [31]3 years ago

3 0

Answer:

x = 3 and y = -3

Step-by-step explanation:

To start, let's double the first equation to get 6x + 2y = 12. Add this to the second equation to get 10x = 30, so x = 3 and y = -3.

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In roulette, you may bet whether the number that comes up is odd (or even). (Remember that 0 and 00 do not count as either odd o

EastWind [94]

Answer: - 0.027

Step-by-step explanation:

Win = any even number between (0 - 36)

Therefore,

Lose = any odd number between 0 —36 including 0

Assume Bet amount = $1

Expected value is calculate by summing all possible outcomes by their respective probabilities.

Expected value = [(p(winning) × net win value) + (p(losing +net loss value]

P(winning) = p(even) = 18/37

P(losing) = p(odd) +p(0) = 19/37

Net win value = $2

Net loss value = $-1

Expected value = [(18/37) × ($1) + (19/37) × (-$1)]

Expected value = 0.48648648 - 0.51351351

Expected value = - 0.027

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3 years ago

Find the quotient of 5/68

antoniya [11.8K]

Use a calculator 5/68 = 5 ÷ 68 = ______

7 0

3 years ago

Read 2 more answers

Solve the following equation:

Rama09 [41]

Complete the square.

$z^4 + z^2 - i\sqrt 3 = \left(z^2 + \dfrac12\right)^2 - \dfrac14 - i\sqrt3 = 0$

$\left(z^2 + \dfrac12\right)^2 = \dfrac{1 + 4\sqrt3\,i}4$

Use de Moivre's theorem to compute the square roots of the right side.

$w = \dfrac{1 + 4\sqrt3\,i}4 = \dfrac74 \exp\left(i \tan^{-1}(4\sqrt3)\right)$

$\implies w^{1/2} = \pm \dfrac{\sqrt7}2 \exp\left(\dfrac i2 \tan^{-1}(4\sqrt3)\right) = \pm \dfrac{2+\sqrt3\,i}2$

Now, taking square roots on both sides, we have

$z^2 + \dfrac12 = \pm w^{1/2}$

$z^2 = \dfrac{1+\sqrt3\,i}2 \text{ or } z^2 = -\dfrac{3+\sqrt3\,i}2$

Use de Moivre's theorem again to take square roots on both sides.

$w_1 = \dfrac{1+\sqrt3\,i}2 = \exp\left(i\dfrac\pi3\right)$

$\implies z = {w_1}^{1/2} = \pm \exp\left(i\dfrac\pi6\right) = \boxed{\pm \dfrac{\sqrt3 + i}2}$

$w_2 = -\dfrac{3+\sqrt3\,i}2 = \sqrt3 \, \exp\left(-i \dfrac{5\pi}6\right)$

$\implies z = {w_2}^{1/2} = \boxed{\pm \sqrt[4]{3} \, \exp\left(-i\dfrac{5\pi}{12}\right)}$

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1 year ago

Six friends share a 15-ounce bag of nuts equally between what two whole numbers of ounces will each person get?

Novosadov [1.4K]

Each person will get about 2.5 ounces.

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3 years ago

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Write the slope intercept form of the equation of the line described:

Georgia [21]

Answer:

Y=-4x+ 12

Step-by-step explanation:

The x value has to go back 4 times to get to 0 and the slope is - 4 so it would be 12 hope this helps! :)

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2 years ago