In some cases, a matrix may be row reduced to more than one matrix in reduced echelon form, using different sequences of row operations. is this statement true or false?

This is False.

Step-by-step explanation:

To solve matrices, operations such as the Gaussian elimination can be used. After this operation, a matrix with a row echelon form is obtained. The reduced echelon form is particular case of this, in which the matrix:

1. Is in row echelon form.

2. The first number in each non-zero row is 1 (which is called a leading 1).

3. Each column that has a leading 1 has zeros everywhere else

A matrix in a reduced row echelon form is unique and independent on the algorithm used to calculate it.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0