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miss Akunina [59]
4 years ago
15

Which method will solve this equation completely?

Mathematics
2 answers:
enyata [817]4 years ago
4 0

Answer:

Subtract 16 from both sides, and then divide both sides by-9

Step-by-step explanation:

16 - 9f=47

First subtract 16 from each side

16-16 - 9f=47-16

-9f = 31

Then divide each side by -9

-9f/-9 = 31/-9

f = -31/9

statuscvo [17]4 years ago
3 0

Answer: C

Step-by-step explanation:

The opposite of add is to subtract.  Opposite of multiply is to divide.

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Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie
melamori03 [73]

Answer:

The complete solution is

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

y = e^{mx}

Differentiating with respect to x

y'= me^{mx}

Again differentiating with respect to x

y''= m ^2 e^{mx}

Putting the value of y, y' and y'' in left side of the differential equation

3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0

\Rightarrow 3m^2-8m-3=0

The auxiliary equation is

3m^2-8m-3=0

\Rightarrow 3m^2 -9m+m-3m=0

\Rightarrow 3m(m-3)+1(m-3)=0

\Rightarrow (3m+1)(m-3)=0

\Rightarrow m = 3, -\frac13

The complementary function is

y= Ae^{3x}+Be^{-\frac13 x}

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)    

For particular integral

y_p=\frac 1{(3D+1)(D-3)} .4

    =4.\frac 1{(3D+1)(D-3)} .e^{0.x}    [since e^{0.x}=1]

   =4\frac{1}{(3.0+1)(0-3)}      [ replace D by 0 , since L(0)≠0]

   =-\frac43

The complete solution is

y= C.F+P.I

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

4 0
3 years ago
Paul is making loaves of raisin bread to sell at a fundraising event. The recipe calls for 1\3 cup of raisins for each loaf, and
azamat
39 divided by 4 equals 9 batches with 3/12 raisins left over
3 0
4 years ago
Please help me again
Vikentia [17]

Answer:

y = 10

Step-by-step explanation:

<u>Since all sides are equal, that means all angles are 60 degrees. 60 + 60 + 60 = 180</u>

<u />

5y + 10 - 10 = 60 - 10

5y / 5 = 50 / 5

y = 10

Answer:  y = 10

7 0
3 years ago
Please help steps thx
ExtremeBDS [4]

Answer:

240 cubic metres

Step-by-step explanation:

I'm not really sure for Q17 but I do know Q18.

Q18. Volume of cuboid = Length×Breadth×Height

=12×4×5

=240 cubic metres

hope it helps!!!

8 0
3 years ago
This should be easy
Ivanshal [37]

Answer:

69

Step-by-step explanation:

it's the holy number jesus christ can confirm

8 0
3 years ago
Read 2 more answers
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