3 years ago

Marilyn lives 3.5 block from the library. She leaves the library and walks 3.5

Mathematics

1 answer:

fenix001 [56]3 years ago

7 0

Answer:

3.5 blocks.

Step-by-step explanation:

After walking 3.5 blocks back she is back at her starting point.

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DerKrebs [107]

we are given

differential equation as

$y'''-9y''+20y'=0$

we are given

$y=e^{rx}$

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

$y'=re^{rx}$

Second derivative is

$y''=r*re^{rx}$

$y''=r^2e^{rx}$

Third derivative is

$y'''=r^2*re^{rx}$

$y'''=r^3e^{rx}$

now, we can plug these values into differential equation

and we get

$r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0$

now, we can factor out common terms

$e^{rx}(r^3 -9r^2 +20r)=0$

we can move that term on right side

$(r^3 -9r^2 +20r)=0$

now, we can factor out

$r(r^2 -9r +20)=0$

$r(r-5)(r-4)=0$

now, we can set them equal

$r=0$

$r-5=0$

$r=5$

$r-4=0$

$r=4$

so, we will get

$r=0,4,5$ ...............Answer

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Round 18.194 to the place named tenth hundred ones

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tenth place: 18.2

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3 years ago

Which equals the product of (x – 3)(2x + 1)?

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Answer:

2x^2 – 5x – 3

Step-by-step explanation:

<u>Apply FOIL method: </u>

=x*2x+x*1+(-3)*2x+(-3)*1

<u>Apply minus-plus rules:</u>

=2xx+1*x-3*2x-3*1

Simplify:

=2x^2 – 5x – 3

Your Answer Is 2x^2 – 5x – 3

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