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3 years ago

Plz help...................

Mathematics

1 answer:

tatiyna3 years ago

4 0

3/5 , 2/3, 5/7
60%, 66%, ~70%+
I gotcha

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-2/3 x 3/5 + 5/2 - 3/5 x 1/6

chubhunter [2.5K]

Answer:

sorry im on a time lapse, so the answer is 2 1/2. hope it helps

Step-by-step explanation:

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3 years ago

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Find the solution of the given initial value problem:<br><br> y''- y = 0, y(0) = 2, y'(0) = -1/2

igor_vitrenko [27]

Answer: The required solution of the given IVP is

$y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.$

Step-by-step explanation: We are given to find the solution of the following initial value problem :

$y^{\prime\prime}-y=0,~~~y(0)=2,~~y^\prime(0)=-\dfrac{1}{2}.$

Let $y=e^{mx}$ be an auxiliary solution of the given differential equation.

Then, we have

$y^\prime=me^{mx},~~~~~y^{\prime\prime}=m^2e^{mx}.$

Substituting these values in the given differential equation, we have

$m^2e^{mx}-e^{mx}=0\\\\\Rightarrow (m^2-1)e^{mx}=0\\\\\Rightarrow m^2-1=0~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mx}\neq0]\\\\\Rightarrow m^2=1\\\\\Rightarrow m=\pm1.$

So, the general solution of the given equation is

$y(x)=Ae^x+Be^{-x},$ where A and B are constants.

This gives, after differentiating with respect to x that

$y^\prime(x)=Ae^x-Be^{-x}.$

The given conditions implies that

$y(0)=2\\\\\Rightarrow A+B=2~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$y^\prime(0)=-\dfrac{1}{2}\\\\\\\Rightarrow A-B=-\dfrac{1}{2}~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Adding equations (i) and (ii), we get

$2A=2-\dfrac{1}{2}\\\\\\\Rightarrow 2A=\dfrac{3}{2}\\\\\\\Rightarrow A=\dfrac{3}{4}.$

From equation (i), we get

$\dfrac{3}{4}+B=2\\\\\\\Rightarrow B=2-\dfrac{3}{4}\\\\\\\Rightarrow B=\dfrac{5}{4}.$

Substituting the values of A and B in the general solution, we get

$y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.$

Thus, the required solution of the given IVP is

$y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.$

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3 years ago

Write the equation of the line<br> Screenshot attached

andrew-mc [135]

Answer:

y = -3/2x + 4

Step-by-step explanation:

Do rise over run to get the -3/2x

the y-intercept is 4, hence the ‘+4’

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3 years ago

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If x=7 and y=−2, evaluate the following expression:2xy

antoniya [11.8K]

Answer:

-28

Step-by-step explanation:

2xy=2(7)(-2)=14(-2)=-28

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2 years ago

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In a game, the probability of winning is 1 out of 5. How many times could Lisa expect to win if she plays the game 85 times?

Murrr4er [49]

Answer:

17 wins

Step-by-step explanation:

Given

P(winning) = 1/5

Number of games = 85

The number of winnings could simply be calculated as the product of the probability and number of games played.

Expected number of winning : P(winning) * number of games

Expected number of winning = 1/5 * 85 = 17 wins

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2 years ago