What is the value of x in the equation below? 1/3 (12x- 24 -24) = 16 A 2 B 6 C 8 D 10

5.2 more than the product of seven and a number

vlabodo [156]

It would be 12.2 because 7+5.2 is 12.2

7 0

3 years ago

The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two int

koban [17]

Answer:

4 and 6 or -6 and -4

Step-by-step explanation:

Let the numbers are 2x and 2x + 2.

We have:

(2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
4(2x + 1)² = 4x² + 4(x + 1)² + 48
(2x + 1)² = x² + (x + 1)² + 12
4x² + 4x + 1 = x² + x² + 2x + 1 + 12
2x² + 2x - 12 = 0
x² + x - 6 = 0
(x - 2)(x + 3) = 0
x = 2, x = -3

The numbers are:

4 and 6 or - 6 and - 4

3 0

2 years ago

Need help answering this

makkiz [27]

Answer:

add the 2 equations together

Step-by-step explanation:

i was in class when I heard this so it should be correct

5 0

3 years ago

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

How do I do this problem? Evaluate each expression (-4)-(-6)-(2-1)

natita [175]

Answer:

1

Step-by-step explanation:

(-4) - (-6) - (2-1)

-4 + 6 -2 +1

1

6 0

3 years ago

What is the value of x in the equation below? 1/3 (12x- 24 -24) = 16 A 2 B 6 C 8 D 10​

What is the value of x in the equation below? 1/3 (12x- 24 -24) = 16 A 2 B 6 C 8 D 10