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hram777 [196]
3 years ago
7

989.5 rounded to the nearest whole number

Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

990

Step-by-step explanation:

there is none

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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:

  1. Switch any two rows
  2. Multiply a row by a nonzero constant
  3. 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
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
Neporo4naja [7]

Answer:

You didn't include any graphs.

Step-by-step explanation:

3 0
2 years ago
Darnell's truck can travel 18 miles on 1 gallon of gasoline. How many gallons of gasoline will Darnell need to travel 315 miles?
kiruha [24]

Answer: 17.5 gallons

Step-by-step explanation:

The formula to solve this question will be: g = d/m

where, g = number of gallons of gasoline used

d = distance travelled = 315 miles

m = miles per gallon = 18 miles/gallon

Therefore, the number of gallons of gasoline that Darnell will need to travel 315 miles will be:

g = d/m

g = 315/18

= 17.5 gallons

8 0
3 years ago
Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot?
ra1l [238]

Answer:

0.5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I do not understand how my answer is wrong please help will give brainly
meriva
Given that the two lines are parallel, we can assume that the two angles given are supplementary (due to them being same side interior angles)

Supplementary angles - when the sum of their degree measure is 180°

8x - 13 + 4x + 1 = 180

12x = 192

x = 16
8 0
3 years ago
Read 2 more answers
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