Please help me ASAP I’ll mark Brainly

Answer:

Step-by-step explanation:

Given the matrix

[5 3]

[-4 4]

The characteristic polynomial is expressed as |A - λI| = 0  where λ are the eigen values and I is am identity matrix A 2*2 identity matrix is expressed as;

[1 0]

[0 1]

Substitute into expression will give;

[tex]= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \lambda \left[\begin{array}{cc}1&0\\0&1\\\end{array}\right] = 0\\= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \left[\begin{array}{cc}\lambda &0\\0&\lambda \\\end{array}\right] = 0\\= \left[\begin{array}{cc}5-\lambda&3\\-4&4-\lambda\\\end{array}\right] = 0[/tex]

Find the determinant of the resulting matrix;

|A - λI| = (5- λ)(4- λ)- 3(-4) = 0

|A - λI| = 20-5 λ-4 λ+ λ²+12 = 0

|A - λI| = 20-9λ+λ²+12 = 0

-9λ+λ²+32 = 0

Rearrange;

λ²-9λ+32 = 0

Hence the characteristic polynomial is expressed as λ²-9λ+32 = 0

Get the eigen values by finding the roots of the equation;

λ = 9±√9²-4(1)(32)/2

λ = 9±√81-(128)/2

λ = 9±√-47/2

λ = 9±√-47/2

λ₁ = 9-√47 i/2 and λ₂ = 9+√47 i/2

Answer:

4 gallons

Step-by-step explanation:

if 1/4 a gallon is 1/16 of the wall that means 1 gallon is 4/16 of the wall plus another gallon that's 8/16 of the wall plus 2 more gallons that's 16/16 (the whole wall is complete) of the wall

Answer:

D

Step-by-step explanation:

If a number on the x side repeats then its automaticaly not a function.

Answer:

2 hours

Step-by-step explanation:

Double the people, divide the hours by 2.

Answer:

8 hours.

Step-by-step explanation:

3:4=6:x

f(3)=10 I think this is it

Answer:

f(3) = -11

Step-by-step explanation:

should be lol

Step-by-step explanation:

f(x)=2x-3

now,

f(7)=2× 7-3

=14-3

=11

f(-2)='-2×7-3

= -14-3

b= -17

f(-4)= -4×7-3

= -28-3

= -31

The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given,

f(x)=2x-3

f(7) so put x = 7

f(7) = 2(7) - 3

f(7) = 11

Now,

f(-2) so put x = -2

f(-2) = -2×7-3

f(-2) = -17

Now,

f(-4) so put x = -4

f(-4)= -4×7-3

f(-4) = -31

Hence,The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

For more about the function,

brainly.com/question/23712366

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Answer:

I'm not 100 percent sure but I think the area is 12.

Answer:

0.49

Step-by-step explanation:

This is what I would put. If my work isn't correct I am so sorry.

Answer:

mean,range,and mode.

I learned this just last Thursday, duh ;)

Step-by-step explanation:

Answer: 0.57 fish. Khan academy told me.

Answer:

0.83

Step-by-step explanation:

step by step on Khan

Answer:

367 19/27

Step-by-step explanation:

Use symbolab bruv, its easy.

Answer:

35 players are left-handed

Step-by-step explanation:

50% of 50 is 25

40% of 50 is 20

30% of 50 is 15

50 - 15 = 35

Answer:

my life doesn't make sense

Step-by-step explanation:

Answer: part A is 20%

Part B is 165

Step-by-step explanation:

Part B: 30% x 550= 165

The percentage of people who are students will be 70%. And the number of people who are on the ride will be 165.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

There are 550 people at the school carnival. If 385 of the people are students, then the percentage is calculated as,

P = (385 / 550) x 100

P = 70%

If 30% of all the people at the carnival are on a ride. Then the number of people on a ride will be given as,

⇒ 30% of 550

⇒ 0.30 x 550

⇒ 165 people

The percentage of people who are students will be 70%. And the number of people who are on the ride will be 165.

More about the percentage link is given below.

https://brainly.com/question/8011401

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Answer:

[tex]a_{200}=418[/tex]

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

[tex]a_n=20+(n-1)2[/tex] ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

[tex]a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418[/tex]

So, the 200th term of the sequence is 418.

-8/3 ft/s

We are given:

distance of the top of the ladder from the ground (h) = 12 ft

height of the ladder = 20 ft

rate of change of the distance of the base of ladder from the wall (dx/dt):

2 ft/s

Finding the distance of the base of the ladder from the wall:

From the Pythagoras's Theorem, we know that:

hypotenuse² = height² + base²

replacing the given values

20² = 12² + x²

400 = 144 + x²

x² = 256                            [subtracting 144 from both sides]

x = 16 ft                            [taking the square root of both sides]

The rate of change of the height of the Ladder from the ground:

We know that:

h = 12 ft

([tex]\frac{dh}{dt}[/tex]) = ?

x = 16 ft

([tex]\frac{dx}{dt}[/tex]) = 2 ft/s

According to the Pythagoras's Theorem:

20² = x² + h²

differentiating both sides with respect to time

[tex]\frac{d(400)}{dt} = \frac{d(x^{2} + h^{2})}{dt}[/tex]

[tex]0 = \frac{d(x^{2})}{dt} + \frac{d(h^{2})}{dt}[/tex]

[tex]0 = \frac{d(x^{2})}{dx}(\frac{dx}{dt}) + \frac{d(h^{2})}{dh}(\frac{dh}{dt})[/tex]

[tex]0 = 2x(\frac{dx}{dt}) + 2h(\frac{dh}{dt})[/tex]

replacing the variables

[tex]0 = 2(16)(2) + 2(12)(\frac{dh}{dt})[/tex]

[tex]0 = 64 + 32(\frac{dh}{dt})[/tex]

[tex]-64 =32(\frac{dh}{dt})[/tex]                                [subtracting 64 from both sides]

[tex]\frac{-64}{32} =(\frac{dh}{dt})[/tex]                                    [dividing both sides by 32]

[tex]\frac{dh}{dt} = \frac{-8}{3} ft/s[/tex]

Hence, the ladder will slide down at a speed of 8/3 feet per second

Answer:

A I think

Step-by-step explanation:

Answer:

n would be 0.10

Step-by-step explanation:

the only way to get 72.1 is to multplay something below it like 0.10 so that why it makes since

Answer:b

Step-by-step explanation:

Answer:

b

Step-by-step explanation: i took the test and got it right

Answer:

192 and 288

Step-by-step explanation:

Answer:

Statue of Liberty,(-5,-4.5)

Step-by-step explanation:

Answer:

third one for both

Step-by-step explanation:

Step-by-step explanation:

What is 45% of 150?

Y is 45% of 150

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 45% * 150

Converting percent to decimal:

p = 45%/100 = 0.45

Y = 0.45 * 150

Y = 67.5

Brainliest?

Answer:

8

Step-by-step explanation:

The exponent is the top number, which in this case would be 8.

Answer:

169.83

Step-by-step explanation:

big brain

Answer:

97

Step-by-step explanation:

Answer:

97 97 97

Step-by-step explanation:

its 97........

Answer:

Step-by-step explanation:

7 days in a week so 12 times 7, which is 84 anchovies

Answer: The answer is

Step-by-step explanation:so are u asking fo X,Y?

Answer:

The green line represents the true relationship between the variables. ... this is an overfit model, and I'll show you how to detect it shortly . Fitted line ... Calculates the regression equation.

Answer:

0.00000067

Step-by-step explanation: