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3 years ago

Can you explain why it's always 1 ??

1 answer:

4 0

The thing is, they've never been able to prove that, lol. (:

there is no special number out there that never leads to 1. It's possible that there's some really big number that goes to infinity instead, or maybe a number that gets stuck in a loop and never reaches 1. But no one has ever been able to prove that for certain.

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Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTI

cricket20 [7]

Answer:

The system has infinitely many solutions

$\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}$

Step-by-step explanation:

Gauss–Jordan elimination is a method of solving a linear system of equations. This is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.

An Augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

There are three elementary matrix row operations:

Switch any two rows
Multiply a row by a nonzero constant
Add one row to another

To solve the following system

$\begin{array}{ccccc}x_1&-3x_2&-2x_3&=&0\\-x_1&2x_2&x_3&=&0\\2x_1&+3x_2&+5x_3&=&0\end{array}$

Step 1: Transform the augmented matrix to the reduced row echelon form

$\left[ \begin{array}{cccc} 1 & -3 & -2 & 0 \\\\ -1 & 2 & 1 & 0 \\\\ 2 & 3 & 5 & 0 \end{array} \right]$

This matrix can be transformed by a sequence of elementary row operations

Row Operation 1: add 1 times the 1st row to the 2nd row

Row Operation 2: add -2 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1

Row Operation 4: add -9 times the 2nd row to the 3rd row

Row Operation 5: add 3 times the 2nd row to the 1st row

to the matrix

$\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

The reduced row echelon form of the augmented matrix is

$\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]$

which corresponds to the system

$\begin{array}{ccccc}x_1&&-x_3&=&0\\&x_2&+x_3&=&0\\&&0&=&0\end{array}$

The system has infinitely many solutions.

$\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}$

7 0

3 years ago

Determine if the two figures are congruent and explain your answer using transformations.

Vinil7 [7]

Answer: They are the same size

Step-by-step explanation:

Why they are the same size is because you can tell because of how it transforms, and by how the it looks and you flip it in reverse, and also of how it looks so yes, it is congruet. So I hope it helps you :)

3 0

2 years ago

ASAP HELPPP NO LINKS! IF THIS IS A FALSE RESPONSE I AM REPORTING

djverab [1.8K]

Answer:

37.699 cubic inches of water

Step-by-step explanation:

Volume of a cone is V= 1/3 pi r^2 h

We are given that the height is 5 in and the radius is 2 in.

Plug that into the formula: V= 1/3 pi 2^2 9

1/3 x 4 x 9 = 12

Now we are left with 12 pi.

Use a calculator and multiply 12 by pi to get:

37.699

3 0

3 years ago

Giving brainliest! View image!

Tatiana [17]

Answer:

58%

Step-by-step explanation:

10*5=50

7*3=21

21/50 chance to choose inside small rectangle

21/50*2 = 42/100 chance to choose inside small rectangle

100-42=58%

3 0

3 years ago

The graph of the function f(x) = x3 – 7x – 6 intersects the x-axis at the points (–2, 0), (–1, 0), and (3, 0) as shown. Which ex

Alisiya [41]

The x-axis intercepts are the roots of the polynomial. So, the roots are x = - 2, x = - 1 and x = 3.

Therefore, the polynomial can be factored as:

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

Answer: (x + 2) (x + 1) (x - 3)

5 0

3 years ago