-9 is a rattional number because it is an integer and it can be squared.
12x^2y^2+2xy-2 with problems like these use the app “Photomath” it will help you a lot.
Based on the hints of distinguishing between <em>radical</em> and <em>non-radical</em> numbers, we have the following lists:
,
, 2.5, 
- 3.01,
,
, 
, - 4.1, 4.01, 
- - 2.5,
,
, 2.5
<h3>How to order numbers from least to greatest</h3>
In this question we must order sets of numbers in ascending order. A hint consists in comparing <em>non-radical</em> numbers with the <em>closest</em> <em>radical</em> numbers whose results are integers.
In consequence, we obtain the following orders:
,
, 2.5, 
- 3.01,
,
, 
, - 4.1, 4.01, 
- - 2.5,
,
, 2.5
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The graph that represents the given line with slope and y-intercept is as attached below.
<h3>How to interpret Linear Graphs?</h3>
We are given the equation;
x - y - 3 = 0
Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c
where;
m is slope
c is y-intercept
Thus, our equation can be rearranged to get;
y = x - 3
Thus, y-intercept is c = -3
The graph that represents the given line is as attached below.
Read more about Linear Graphs at; brainly.com/question/14323743
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Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5