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2 years ago

7/x+2 + 3x-4/x2+5x+6=9

Mathematics

1 answer:

larisa [96]2 years ago

4 0

Answer:

is this in graph or equation? ???

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Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc

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

4 0

3 years ago

Hi I need help on this question I’m struggling May someone help me pls and thank u it’s urgent!!!!

kiruha [24]

I believe you’re correct.

y = 3x - 6

8 0

3 years ago

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rect

AfilCa [17]

Let

x-------> the length side of the original cube

we have

$2x^{3} +8x=450\\2x^{3}=450-8x$

Divide by $2$ both sides

$x^{3}=225-4x$

The system of equations is equal to

$y=x^{3}$ --------> equation $1$

$y=225-4x$ --------> equation $2$

using a graphing tool

see the attached figure

we know that

the solution of the system of equations is the intersection both graphs

therefore

the solution is

$x=5.86\ in$

therefore

<u>the answer is</u>

$5.86\ inches$

6 0

3 years ago

Read 2 more answers

Please help!!!!!!!!!!!

boyakko [2]

Answer:

(7√6)/2

Step-by-step explanation:

The side ratios in these special triangles are ...

30°-60°-90° triangle: 1 : √3 : 2

45°-45°-90° triangle: 1 : 1 : √2

This tells you the length of the horizontal line is 7√3, and the value of x is ...

(7√3)/√2 = (7√6)/2

_____

<em>Additional comment</em>

Call the length of the horizontal line "y". Then the given ratios tell you ...

7 : y = 1 : √3 ⇒ y/7 = √3/1 ⇒ y = 7√3

and

x : y = 1 : √2 ⇒ x/y = 1/√2 ⇒ x = y/√2

When we rationalize the denominator, we get ...

x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2

4 0

2 years ago

Which of the following sets of numbers is a Pythagorean triple?

lakkis [162]

Answer: a

Step-by-step explanation:

4 0

2 years ago