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3 years ago

7

What is the difference between rational and irrational numbers?

2 answers:

Olenka [21]3 years ago

3 0

Rational numbers can be written as a fraction. They can be integers, whole numbers, natural numbers, repeating decimals, terminating decimals and obviously fractions. Irrational numbers can not be written as a fraction. They are usually non terminating non repeating decimals (like Pi).

tigry1 [53]3 years ago

3 0

Well, the answer to this question would be: A rational number both the numerator and the denominator are whole numbers, but the denominator is not equal to zero. Whereas a irrational number cannot be written in a fraction. Not to mention, a irrational number cannot be expressed in a ratio with two integers. though, I'm no math whizz, I'm 100% sure this is correct :)

I hope this helps, please mark brainliest if it did, thank you and have a AMAZING day! :D

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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.

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

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3 years ago

Jacob earned 300 on an amount deposited into his bank account for 3 years at a 2% annual simple interest rate how much did Joe d

vampirchik [111]

Joe deposited 180.

300 x .02 x 3 = 180

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3 years ago

An item costs $330 before tax, and the sales tax is $23.10 . find the sales tax rate. write your answer as a percentage.

ad-work [718]

Divide sales tax amount over the item's cost
23.1 / 330 = 0.07
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3 years ago

The volume of the cube below is 1/8cm^2 . What is the value of x?

Kipish [7]

We are given

edge of cube =x

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$V=x^3$

we are given

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we can plug value

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now, we can solve for x

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Reika [66]

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Step-by-step explanation:

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3 years ago

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