- Keisha writes the following list of numbers.
1 answer:
The type of numbers, rational and irrational from the numbers Keisha writes are;
a. Rational numbers; -9, 3.0, 2, and 2.42
b. Irrational numbers; √8
<h3>What is the difference between rational and irrational numbers?</h3>Rational numbers are numbers are numbers that can be expressed as a ratio of two whole numbers P/Q, in which, <em>Q </em>≠ 0
Irrational numbers are those that cannot be expressed as a fraction P/Q
The given numbers are;
-9, √8, 3.0, 2, 2.42
- -9 = -9/1
- √8 = 2•√2 (√2 cannot be expressed as a fraction of two whole numbers)
- 3.0 = 3/1
- 2 = 2/1
a. The rational numbers are therefore;
- -9, 3.0, 2, and 2.42
b. The irrational number is; √8
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The answer to the question
Given:
The equation of a linear function is:
To find:
The y-intercept and slope of the given equation, then draw the graph of the equation.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the y-intercept is -1 and the slope of the line is .
It means the graph intersect the y-axis at point (0,-1) and having slope . So, the graph of the equation is shown below.
