Ask question

Ask question

All categories

Law Incorporation [45]

2 years ago

9

Write 3.3 as a rational number

1 answer:

amm18122 years ago

8 0

Yes because it ends or has a repeater (with it doesn’t)

You might be interested in

Determine the next step for solving the quadratic equation by completing the square.

Studentka2010 [4]

Answer:

The solutions are $x=\frac{1+\sqrt{7}}{2}$ and $x=\frac{1-\sqrt{7}}{2}$

Step-by-step explanation:

we have

$0=-2x^{2}+2x+3$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$-3=-2x^{2}+2x$

Factor the leading coefficient

$-3=-2(x^{2}-x)$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$-3-0.5=-2(x^{2}-x+0.5^{2})$

$-3.5=-2(x^{2}-x+0.5^{2})$

Rewrite as perfect squares

$-3.5=-2(x-0.5)^{2}$

$7/4=(x-0.5)^{2}$

square root both sides

$x-0.5=(+/-)\sqrt{\frac{7}{4}}$

$x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1+\sqrt{7}}{2}$

$x=\frac{1-\sqrt{7}}{2}$

4 0

3 years ago

What is the row echelon form of this matrix?

USPshnik [31]

The row echelon form of the matrix is presented as follows;

$\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}$

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

$\begin{bmatrix}-3 &6 &15 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$

The conditions of a matrix in the row echelon form are as follows;

There are row having nonzero entries above the zero rows.
The first nonzero entry in a nonzero row is a one.
The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

$\begin{bmatrix}1 &-2 &-5 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 1&0 &-1 \\\end{bmatrix}$

Subtracting Row 1 from Row 3 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 0&2 &4 \\\end{bmatrix}$

Adding Row 2 to Row 3 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 0&0 &18 \\\end{bmatrix}$

Dividing Row 2 by -2, and Row 3 by 18 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}$

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0

1 year ago

Out of 49 fish 31 are goldfish. About what percent are gold fish?

myrzilka [38]

63.27 % of fishes are gold fish

<h3><u>Solution:</u></h3>

Given that out of 49 fish, 31 are goldfish

To find: percent of gold fish

The percent of gold fish is calculated by dividing number of goldfish by total number of fish multiplied by 100

<em><u>The percentage of gold fish is given by formula:</u></em>

$\text{percent} = \frac{\text{number of gold fish}}{\text{total number of fish}} \times 100$

From given information,

total number of fish = 49

number of gold fish = 31

Substituting the values in formula, we get

$percent = \frac{31}{49} \times 100\\\\percent = 0.6326 \times 100 = 63.27$

Therefore, approximately 63.27 % of fishes are goldfish

4 0

2 years ago

The cafeteria uses 10 gallons of milk in 3 days.

Simora [160]

Answer:

cccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

cccccccccccccccccccccccccccccccccccccccccccccccccccc

8 0

3 years ago

Read 2 more answers

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by gi

GuDViN [60]

The time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds

Given the equation representing the height reached by a rocket as:

$y = -16x^2 + 157x + 104$

The rocket will hit the ground when y = 0. Substituting y = 0 into the expression to get x;

$0 = -16x^2 + 157x + 104\\16x^2 - 157x - 104 = 0\\$

On factorizing:

x = 10.43 seconds

Hence the time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds

Learn more here: brainly.com/question/14479223

6 0

2 years ago