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3 years ago

Help! Please show work. 5n+6=-(6-5n)+12

Mathematics

2 answers:

GaryK [48]3 years ago

8 0

All together it equals 3

Arisa [49]3 years ago

5 0

First step is distribution:

-(6-5n)+12

-6+5n+12

5n+6=-6+5n+15

Second step combine like terms:

5n+6=5n+9
-6 -6

5n=5n+3

0=3

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Use the general solution to solve 5 – 6x = 8x + 17.

Slav-nsk [51]

Answer:

8x+6x=14x

5-17= -12

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divide by 7

you get x= -6 over 7

Step-by-step explanation:

4 0

3 years ago

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Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

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Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

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with roots $r=\pm4$ , admitting the characteristic solution

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From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

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$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

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3 years ago

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kirill [66]

Answer:

B. 3.45

Step-by-step explanation:

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nydimaria [60]

Answer:

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3 years ago

Given the function f(x)=4|x-5|+3 for what values of x is f(x)=15

Andreyy89

Answer:

{2, 8}

Step-by-step explanation:

We want to find x for ...

15 = 4|x -5| +3

12 = 4|x -5| . . . . subtract 3

3 = |x -5| . . . . . . divide by 4

±3 = x -5 . . . . . . show the meaning of absolute value

5 ±3 = x = {2, 8} . . . . . add 5

The values of x for which f(x) = 15 are 2 and 8.

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3 years ago