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Alekssandra [29.7K]

2 years ago

9

Why is a mixed number not in the set of integers or whole numbers

1 answer:

slamgirl [31]2 years ago

5 0

Integers are whole numbers.

mixed number are whole numbers plus fractions...that when simplified, become improper fractions
2 1/2 = 5/2....this is not an integer or a whole number
3 1/4 = 13/4....same here...not an integer or a whole number
4 1/3 = 13/3...not an integer or a whole number

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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

Eduardo used fabric to make three costumes. he used 1/4 yard for first then 2/4 yard for the second and 3/4 yard for the third c

Dmitry [639]

add the fractiosn together, since they all have the same denominator, simply add the numerators
1/4+2/4+3/4=6/4
or
1 1/2 yards of fabric (2/4 = 1/2)

6 0

3 years ago

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FrozenT [24]

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totally answer

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3 years ago

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mezya [45]

Answer:

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Step-by-step explanation:

x = 7 + 15

x = 22

4 0

3 years ago

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Find the slope of the line that passes through (2, 12) and (5, 10).

Darina [25.2K]

The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

6 0

3 years ago

Read 2 more answers