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3 years ago

Can a system of linear equation have exactly 2 solutions ? why or why not?

Mathematics

1 answer:

Phoenix [80]3 years ago

6 0

Answer:

Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.

Step-by-step explanation:

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Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0

lilavasa [31]

Answer:

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

Step-by-step explanation:

Let, $D=\frac{d}{dx}$

Now, us simplify the given differential equation and write it in terms of D,

$36y''-48y'-48y=0$

or, $3y''-4y'-4y=0$

or, $(3D^2-4D-4)y=0$

We have our auxiliary equation:

$3D^2-4D-4=0$

or, $(3D+2)(D-2)=0$

or, $D=2, - \frac{2}{3}$

Therefore our solution is,

$y=Ae^{2x}+Be^{- \frac{2}{3}x}$

and, $y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }$

Applying the boundary conditions, we get,

$A+B=1$

$2A-\frac{2}{3}B=0$

Solving them gives us,

$A=\frac{1}{4} ,B=\frac{3}{4}$

Hence,

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

4 0

3 years ago

If x represents a number, does 2/5 times x always represent 40% of that number?

marusya05 [52]

Answer:

Yes, it always represent 40% of that number.

Step-by-step explanation:

5 0

3 years ago

Of the 240 sandwiches Joanna makes 20% are tuna sandwiches and 40% are jam sandwiches, and the rest are egg salad sandwiches.How

nikitadnepr [17]

240 = 100%
so 10% = 24 sandwiches
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96

the answer is 96 egg salad sandwiches

4 0

3 years ago

Applying Triangle Classification Theorems

dexar [7]

Answer:

B is the answer on edge

Step-by-step explanation:

3 0

3 years ago

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Plz help!! Anyone? Would mean a lot

andrezito [222]

12 is A
13 is B
14 is b

6 0

3 years ago

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