A = [5 2 -4 2 5 -4 4 4 -5]Is A diagonalizable? Why or why not? a. A is diagonalizable because if you just chop off the upper and lower triangles of the matrix, you're left with just the diagonal, so it just got diagonalized. Bayum! b. A is not diagonalizable because it is not a diagonal matrix c. A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ.d. A is diagonalizable because it is a square matrix.e. A is not diagonalizable because αA(λ) ≠ γA(λ) for all eigenvalues of λ.f. A is not diagonalizable because it does not have 3 distinct eigenvalues

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Answer:

1/7 =  0.142857 since this decimal is repeating divide 45/6(number of repeating numbers) and it gives you 7.5 so you know that it repeats this sequence 7 times plus an extra 3 numbers so the 45th decimal is 2

Step-by-step explanation:

If my answer is incorrect, pls correct me!

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Answer:

3/7 = 0.428571 which is also considered a number that keeps repeating.

Answer:

[tex]x(x+y)^2[/tex]

Step-by-step explanation:

We are given that

[tex]x^3y+2x^2y^2+xy^3[/tex] and [tex]2x^3+4x^2y+2xy^2[/tex]

We have to find HCF.

[tex]x^3y+2x^2y^2+xy^3=xy(x^2+2xy+y^2)[/tex]

=[tex]xy(x+y)^2[/tex]

By using the formula

[tex](x+y)^2=x^2+2xy+y^2[/tex]

[tex]xy(x+y)^2=x\times y\times (x+y)^2[/tex]

[tex]2x^3+4x^2y+2xy^2=2x(x^2+2xy+y^2)[/tex]

[tex]=2x(x+y)^2[/tex]

[tex]2x(x+y)^2=2\times x\times (x+y)^2[/tex]

HCF of ([tex]x^3y+2x^2y^2+xy^3,2x^3+4x^2y+2xy^2[/tex])

[tex]=x(x+y)^2[/tex]

Answer:

[tex]4 < c < 24[/tex]

Step-by-step explanation:

Given

[tex]a = 10[/tex]

[tex]b = 14[/tex]

Required

The possible length of c

Using triangle inequality theorem, we have:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

So, we have:

[tex]a + b > c[/tex]

[tex]10 + 14 > c[/tex]

[tex]24 > c[/tex]

Also:

[tex]a + c > b[/tex]

[tex]14 + c > 10[/tex]

[tex]c > 10 - 14[/tex]

[tex]c > - 4[/tex]

Lastly;

[tex]b + c > a[/tex]

[tex]10 + c > 14[/tex]

[tex]c > 14 - 10[/tex]

[tex]c > 4[/tex]

Write out all inequalities without negative consideration

[tex]24 > c[/tex]

[tex]c > 4[/tex]

Rewrite as:

[tex]c < 24[/tex]       [tex]4 < c[/tex]

Writing both together, we have:

[tex]4 < c < 24[/tex]

Hence, the third side can take its value from the range: [tex]4 < c < 24[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Interest amount paid on loan = $90

Principal value, amount borrowed = $500

Period, t = 16 days

The equivalent annual interest :

Using the simple interest formula :

simple interest = principal * rate * time

Using, days of year = 365

Plugging in the values into the formula :

90 = 500 * rate * (16/365)

90 = 500 * rate * 0.0438356

90 = 21.917808 * rate

Rate = 90 / 21.917808

Rate = 4.10 = 4.10 * 100% = 410%

If days of year = 360 is used :

90 = 500 * rate * (16/360)

Rate = 90 / 22.222

Rate = 4.05 = 4.105 * 100% = 405%:

Hi, I'm so sorry I can't answer that. but I have something you can answer that. Search in browser or anything searcher that you have "Quickmath" or "Cymath" all your equations,problems can solved

Step-by-step explanation:

i hope it helps

Answer:

7

Step-by-step explanation:

481 + 223

approximately 481 =5

223 =2

5+2=7

Answer:

7

Step-by-step explanation:

Answer:

-102

Step-by-step explanation:

First, substitute the value into each equation and solve:

f(5) = -14(5) + 3 = -70 + 3 = -67

g(5) = (5)² + 10 = 25 + 10 = 35

-67 - 35 = -102

Answer:

(-2,1), (0,1), and (2,0). its over the y axis

Step-by-step explanation:

Answer:

shift it 3 values right and 2 units up

Step-by-step explanation:

moving x-axis and moving y-axis

Answer:

x^2+2x-5 - 1/x

Step-by-step explanation:

f(x)=1/x

g(x)=x^2+2x-5

(g-f)(x) = x^2+2x-5 - 1/x

Answer:

c. x² + 2x - 5 - 1 / x

Step-by-step explanation:

f ( x) = 1 / x.

g ( x) = x² + 2x - 5

so,

( g - f) ( x) = x² + 2x - 5 - 1 / x

Answer:

You can build 1296 different home theater systems.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

There are:

6 different TVs

12 types of surround sound systems.

18 types of DVD players.

How many different home theater systems can you build?

The components are independent, so, by the fundamental counting principle:

6*12*18 = 1296

You can build 1296 different home theater systems.

Answer:

i believe x is 16.1

Step-by-step explanation:

hope this helps

Answer:

1) f(g(2)) = 24

2) f(g(-1)) = -4

Step-by-step explanation:

1) GIven f(x) = x²+2x and g(x) = 2x

f(g(x)) = f(2x)

f(2x) = (2x)² + 2(2x)

f(2x) = 4x² + 4x

f(g(x)) = 4x² + 4x

f(g(2)) = 4(2)² + 4(2)

f(g(2)) = 16+8

f(g(2)) = 24

2) f(x) = x+1 and g(x) = 5x

f(g(x)) = f(5x)

f(5x)= 5x + 1

f(g(x)) = 5x + 1

f(g(-1)) = 5(-1) + 1

f(g(-1)) = -5+1

f(g(-1)) = -4

Which one did you need help with?

Answer:

-27648

Step-by-step explanation:

In this problem, we are looking for the function of g in terms of the function f. Simply put, we just replace the variable x in the function g with f(-4).

Step 1, writing g(f(-4)):

[tex]g(f(-4))=-12(f(x))^2[/tex]

Great! Let us substitute f(x) with the given expression.

Step 2, substituting and simplifying:

[tex]\\g(f(-4))=-12(x^2-8x)^2\\g(f(-4))=-12((-4)^2-8*(-4))^2\\g(f(-4))=-12(16+32)^2\\g(f(-4))=-12*2304\\g(f(-4))=-27648[/tex]

g(f(-4) is [tex]\fbox{-27648}[/tex].

I hope this helps! Let me know if you have any questions :)

Answer:

B.  [tex]\displaystyle \frac{-7}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \bigg( \frac{1}{4} \bigg)^{x + 1} = 32[/tex]

Step 2: Solve for x

Answer:

Hi Are you from Vietnam?

Step-by-step explanation:

Sorry i cant understand

im filipino

Answer:

x = 8.8

General Formulas and Concepts:

Pre-Algerba

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

8.35x - 1.5 = 71.98

Step 2: Solve for x

Answer:

12:24:6- divide by 3

4:8:2 - divide by 2

2:4:1- simplest form

Answer:

The gold rush has a big impact on people. Especially since it helped shaped the course of California's development by bringing economic growth.

Answer:

the input x is 3

Step-by-step explanation:

2x+5=11

   2x=6

     x=3

Answer:

D

Step-by-step explanation:

Answer:

[tex]=280[/tex] [tex]in^2[/tex]

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

[tex]2*10=20+20=40[/tex]

[tex]4*10=40+40=80[/tex]

[tex]4*2=8+8=16[/tex]

[tex]40+80+16=136[/tex]

The surface area for the pink rectangular prism is [tex]136[/tex] [tex]in^2[/tex].

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

[tex]4*7=28+28=56[/tex]

[tex]4*7=28+28=56[/tex]

[tex]4*4=16+16=32[/tex]

[tex]56+56+32=144[/tex]

The surface area for the green rectangular prism is 144 [tex]in^2[/tex].

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

[tex]136+144=[/tex]

[tex]=280[/tex] [tex]in^2[/tex]

----------------------------------------

Hope this is helpful.

9514 1404 393

Answer:

  224 in²

Step-by-step explanation:

There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.

The area of a prism is ...

  A = 2(LW +H(L+W))

Pink area:

  A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches

Green area:

  A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches

One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...

  SA = 136 in² +144 in² -56 in² = 224 in²

Answer:

1st number (x) = 5

2nd number (y) = 11

3rd number (z) = -2

Step-by-step explanation:

Let the generic solution for this problem be x + y + z = 14.  

The first number minus three times the third number equals the second number, so x - 3z = y.  The second number is 6 more than the first number, so y = 6 + x.  

x - 3z = y, we know that y = 6 + x, so the equation becomes x - 3z = 6 + x.

After some arithmetic, we find that z = -2.  

Plugging our knowns back into the generic solution becomes:

x + x - 3z + z = 14

2x - 3(-2) - 2 = 14

2x + 6 - 2 = 14

2x + 4 = 14

2x = 10

x = 5

So we know that z = -2, and x = 5, it's just simple substitution from there.  

5 + y + (-2) = 14

5 + y = 16

y = 11

9514 1404 393

Explanation:

Using a random number generator to choose coefficients, we can substitute the required solution to find the constants in the equations. Here is one possible set of equations.

 17x +7y +8z = 6

  12x -6y +z = -16

  14x +8y +11z = 16

__

Additional comment

"Standard form" requires the x-coefficient be positive. Truth be told, the random number generator came up with negative numbers for the first and last equations (on the second try). On the first try, it came up with a couple of zero coefficients. Such is the behavior of random numbers.

The trick with choosing a set of numbers "by hand" is doing it in such a way that the equations are independent.