What is the equation of the line that passes through the point -6 -5 and has a slope of 3/2

The ODE

y''' - 7y'' + 8y' + 16y = 0

has characteristic equation

r ³ - 7r ² + 8r + 16 = 0

which can be factorized as

(r - 4)² (r + 1) = 0

Then the characteristic solution to the ODE is

y(x) = C₁ e ⁴ˣ + C₂ x e ⁴ˣ + C₃ e ⁻ˣ

The places where you can find state-specific information about lottery information to sell, lottery tickets, redeem winning and lottery tickets are the lottery terminal handbook, and lottery vending machine.

Lottery Terminal Handbook is a text containing information related to the lottery Terminal (Electronic Device). This text explains all the functions of the Lottery terminal, how to print the tickets, and how to redeem wining prizes.

On the other hand, a Lottery vending machine is a specialized machine for offering and selling lottery tickets. In these machines, the buyer enters money corresponding to the value of the lottery ticket, and the machine gives him scratch-off tickets or another type of ticket.

According to the above, the information related to lottery tickets can be found in a lottery terminal handbook and a lottery vending machine.

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Problem 2

Based on those variables, we can form these equations

The system of equations is

[tex]\begin{cases}x+y+z = 75\\x = 3y+6\\z = y-11\\\end{cases}[/tex]

Let's start with the first equation. Then apply substitution like so

x+y+z = 75  

3y+6+y+z = 75 ... plug in x = 3y+6

4y+6+z = 75

4y+6+y-11 = 75 ... plug in z = y-11

5y-5 = 75

5y = 75+5

5y = 80

y = 80/5

y = 16 = amount of candy Joe collected

z = y-11 = 16-11 = 5 = amount Josh collected

x = 3y+6 = 3*16+6 = 54 = amount Ian collected

======================================================

Problem 3

x = number of pounds of candy that sells for $1.49 a pound

1.49x = cost of buying those x pounds of candy at that unit price

4.50*5 = 22.50 = cost of buying 5 pounds at $4.50 per pound

1.49x+22.50 = total cost

x+5 = total weight in pounds

(total cost)/(total weight) = final cost per pound

(1.49x+22.50)/(x+5) = final cost per pound

(1.49x+22.50)/(x+5) = 3.64

1.49x+22.50 = 3.64(x+5)

1.49x+22.50 = 3.64x+18.20

22.50-18.20 = 3.64x-1.49x

4.30 = 2.15x

2.15x = 4.30

x = (4.30)/(2.15)

x = 2

======================================================

Problem 5

g = number of ghosts

w = number of witches

s = number of scarecrows

g+w+s = 22 = total number of items

w = g+1 since there's one more witch compared to ghosts

s = w-7 since there's 7 less scarecrows than witches

The system we need to solve is

[tex]\begin{cases}g+w+s = 22\\w = g+1\\s = w-7\\\end{cases}[/tex]

We'll use substitution here as well

g+w+s = 22

g+w+w-7 = 22 ... plug in s = w-7

g+2w-7 = 22

g+2(g+1)-7 = 22 ... plug in w = g+1

g+2g+2-7 = 22

3g-5 = 22

3g = 22+5

3g = 27

g = 27/3

g = 9, there are 9 ghosts

w = g+1 = 9+1 = 10 witches

s = w-7 = 10-7 = 3 scarecrows

10 witches and 3 scarecrows

Answer:

where is the expression

Answer:

There are 3 oatmeal cookies.

Step-by-step explanation:

9514 1404 393

Answer:

  29 square units

Step-by-step explanation:

One estimate could be obtained by approximating the shape by a polygon with vertices at ...

  (-3, 3), (2, 2), (2, -2), (-3, -4), (-4, -3), (-3, -1)

The idea is to try to have about as much area outside this boundary as inside with reference to the curve shown.

This can be subdivided into a trapezoid with the first four vertices shown, and a triangle with the last three vertices shown. The respective areas are ...

  trapezoid area = 1/2(b1 +b2)h = 1/2(7+4)(5) = 27.5

  triangle area = 1/2bh = 1/2(3)(1) = 1.5

Then the total estimated area is about 27.5 +1.5 = 29 square units.

Answer:

[tex]x2=\frac{y2-y1}{m} +x1[/tex]

Step-by-step explanation:

Step 1: Multiply both sides by (x2-x1)

m(x2-x1)=y2-y1

Step 2: Divide both sides by m

x2-x1=(y2-y1)/m

Step 3: Add x1 to both sides

[tex]x2=\frac{y2-y1}{m} +x1[/tex]

===========================================================

Explanation:

Let's isolate the variable y in the first equation

-2x - y = 1

-2x = 1 + y

1+y = -2x

y = -2x-1

Then we'll plug this into the second equation

-4x - 2y = -1

-4x - 2(-2x-1) = -1

-4x + 4x + 2 = -1

0x + 2 = -1

0 + 2 = -1

2 = -1

We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.

Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.

Answer:

2 caplets contain 574 milligrams of medication.

Step-by-step explanation:

1 caplet = 287 milligrams

x caplets = 574 milligrams

Divide:

574 ÷ 287 = 2

-Chetan K

Answer:

This represents an absolute value graph, therefore the distance between them is  8.944272

Step-by-step explanation:

d = 8.944272

For:

(X1, Y1) = (6, 2)

(X2, Y2) = (-2, 6)

Distance Equation Solution:

d=(−2−6)2+(6−2)2−−−−−−−−−−−−−−−−√

d=(−8)2+(4)2−−−−−−−−−−√

d=64+16−−−−−−√

d=80−−√

d=8.944272

Answer:

Step-by-step explanation:

Let x is the amount at 2%, then 27000 - x is the amount at 6%.

The total interest is:

The amount at 6% is:

Answer:

2*2*2*2*5*7= 560

Step-by-step explanation:

please mark brainiest hope it works out for you

Answer:

2^4*5*7

Step-by-step explanation:

2^4*5*7

Step-by-step explanation:

-6.5b+11+(3.3b-2)

-6.5b+11+3.3b-2

-6.5b+3.3b+11-2

-3.2b+9

Answer: -3.2b+9

Step-by-step explanation:

i took the test on k12

Answer:

A household equivalence scale allows for transforming the income in an n-member household into an equivalent one-adult-member household.

Answer: 24

Step-by-step explanation: The first side is 2 by 4 by 1 which equals 8. The middle is 2 by 2 by 2 which equals 8. The last side is 2 by 4 by 1 which equals 8. 8 plus 8 plus 8 equals 24.

Answer:

y = -4, x = 9

Step-by-step explanation:

If a line is horizontally passing through a point, then the equation of that line must be the y-value of that coordinate point. Likewise, if a line is passing vertically through a point, then the equation of that line must be the x-value of that coordinate point.

Apply the theory to this problem.

The equation for the horizontal line is y = -4

The equation for the vertical line is x = 9

Answer:

La ecuación ahora está resuelta.

n=  

8

5+  

55

​

i

​

n=  

8

−  

55

​

i+5  

Step-by-step explanation:

Pasos con la fórmula cuadrática

(2n)  

2

−5n+5=0

Expande (2n)  

2

.

2  

2

n  

2

−5n+5=0

Calcula 2 a la potencia de 2 y obtiene 4.

4n  

2

−5n+5=0

Esta ecuación tiene un formato estándar: ax  

2

+bx+c=0. Sustituya 4 por a, −5 por b y 5 por c en la fórmula cuadrática,  

2a

−b±  

b  

2

−4ac

​

​

.

n=  

2×4

−(−5)±  

(−5)  

2

−4×4×5

​

​

Obtiene el cuadrado de −5.

n=  

2×4

−(−5)±  

25−4×4×5

​

​

Multiplica −4 por 4.

n=  

2×4

−(−5)±  

25−16×5

​

​

Multiplica −16 por 5.

n=  

2×4

−(−5)±  

25−80

​

​

Suma 25 y −80.

n=  

2×4

−(−5)±  

−55

​

​

Toma la raíz cuadrada de −55.

n=  

2×4

−(−5)±  

55

​

i

​

El opuesto de −5 es 5.

n=  

2×4

5±  

55

​

i

​

Multiplica 2 por 4.

n=  

8

5±  

55

​

i

​

Ahora resuelva la ecuación n=  

8

5±  

55

​

i

​

 cuando ± es más. Suma 5 y i  

55

​

.

n=  

8

5+  

55

​

i

​

Ahora resuelva la ecuación n=  

8

5±  

55

​

i

​

 cuando ± es menos. Resta i  

55

​

 de 5.

n=  

8

−  

55

​

i+5

​

La ecuación ahora está resuelta.

n=  

8

5+  

55

​

i

​

n=  

8

−  

55

​

i+5

​

Which best explains why

Which best explains whyall equilateral triangles are similar?

○All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio

Hope this helps- have a good day bro cya)

Answer: C. All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

Step-by-step explanation:

Got it right on edge 2023

Answer:

5,750,000,000

Step-by-step explanation:

5.75 × 109 written in regular notation is 5,750,000,000

Which also is in standard form

Hope this helps :)  

Pls make brainliest :3  

And have an amazing day <3

Answer:

A number between 0.3 and 0.4 is 0.35

Answer:

$650.  This was the original price.

Step-by-step explanation:

Let p represent the original price.

The following expression calculates the value of p:  (1 - 0.38)p = $403.  Note that '1' indicates full price and that '0.38' indicates a 38% discount.

(1 - 0.38)p = $403 simplifies to (0.62)p; = $403.

Dividing both sides by 0.62 yields $650.  This was the original price.

Answer:

$650

Step-by-step explanation:

Line up $ with $ and % with % then cross multiply

$403 represents ........100% full price -38% discounted  = 62%

$ x amount of the original price represents .........................100%

x*62 = 403*100, cross multiply

x = (403*100)/62, divide both sides by 62

x = $650

Answer:

I would say Plan A

Step-by-step explanation:

Have a good day :)

Answer:

360 people in 3 hours. 120 people per hour.

Step-by-step explanation:

How many times do 20 minutes go into 3 hours?

Well, 60 min. ÷ 20 min. = 3

So, 3 x 3 = 9

So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.

So 3 hours would be 9 x 40 = 360

120 people per hour because 40 x 3 = 120

and 20 minutes (3) times equals 1 hour.

Answer: f(x)=x-1

Step-by-step explanation: If you observe the points you will notice that each output is exactly one less than the input, x, so the function is f(x)=x-1.

Answer:

30 cubic feet

Step-by-step explanation:

2 times 3 times 5 equals 30.

Answer:

Step-by-step explanation:

3

Answer:

270 is the answer if you add

Answer:

Step-by-step explanation:

P = 2L + 2W

L = 4w - 30

w = w

P = 2(4w - 30) + 2W

but  P = 240

2(4w - 30) + 2w = 240         Remove the brackets.

8w - 60 + 2w = 240             Combine

10w - 60 = 240                     Add 60

10w - 60 + 60 = 240+60      Combine

10w = 300                             Divide by 10

w = 30

L = 4w - 30

L = 4*30 - 30

L = 120 - 30

L = 90

Answer: 36

Step-by-step explanation:

do pemdas

inside parentheses first

2b-4

2 times 5 is 10

10 minus 4 is 6

6 times 6 is 36

Answer:

[tex] \boxed{36}[/tex]

Step-by-step explanation:

[tex]6(2b - 4)[/tex]

[tex] 6(2(5) - 4)[/tex]

[tex]6(10 - 4)[/tex]

[tex](6 \times 10) - (6 \times 4)[/tex]

[tex]60 - 24[/tex]

[tex] \boxed{ \pink{36}}[/tex]