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4 years ago

Given the equation 2x + 4 = 4x − 2, select the reasoning that correctly solves for x.

Mathematics

1 answer:

Mars2501 [29]4 years ago

3 0

Subtract 4, subtract 2x, then divide by -2

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Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation

Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

$\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\$

by differentiating the second equation we have

$\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}$

and we replace dx/dt in the first equation

$\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0$

and by using the characteristic polynomial

$m^{2}+4=0\\m=\±2i$

the solution is

$y(t)=Acos(2t)+Bsin(2t)$

and to compute x(t) we have

$\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)$

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

$x(0)=B=4\\y(0)=A=3$

I hope this is useful for you

regards

4 0

3 years ago

Read 2 more answers

The bleachers at the football game are 7/8 full, and 1/2 the fans in the bleachers are rooting for the home team. What fraction

ioda

Answer:

The fraction of the bleachers filled with the home team is $\frac{7}{6}$

Solution:

Given that,

The bleachers at the football game are $\frac{7}{8}$

In those bleachers $\frac{1}{2}$ of the fans are rooting for the home team

So, the fans that are filled with the home team is \left(\left(\frac{7}{8}\right) \times\left(\frac{1}{2}\right)\right)

Hence, the required fraction is \left(\left(\frac{7}{8}\right) \times\left(\frac{1}{2}\right)\right)

Removing the brackets we get,

\frac{7 \times 1}{8 \times 2}

= $\frac{7}{6}$

The required fraction is $\frac{7}{6}$

5 0

3 years ago

K-10=-24 what is the value of k

pickupchik [31]

Answer:

Step-by-step explanation:

k = 10 + - 24

k = -14

8 0

4 years ago

Read 2 more answers

2. A(n)_______ has an infinite number of solutions.

asambeis [7]

Answer:

x+y+z=2 has no solutions. You can pick an arbitrary value for x4, and use that to calculate values for all the other variables so that all the equations will be satisfied. If you can set x4 to one of an infinity of real values, then you have an infinity of solutions

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4 years ago

The senior class at Lincoln high had a car wash to raise money for grad night. The boys and girls competed against each other to

adell [148]

Each ticket cost 8 dollars because when you eliminate the 5v out you get 12c=246 and 6c=198 then you end up with 6c=48 and then divide to get c=8

6 0

3 years ago