If you would like to know if is 5/12 greater than 0.44, you can calculate this using the following step:
0.44 = 44/100 = 11/25 = 132/300
5/12 = 125/300
Result: 0.44 is greater than 5/12 (0.44 = 132/300 > 5/12 = 125/300).
1) Start with 4 and add 2 repeatedly
2) Start with 2 and multiply by 2 repeatedly
3) 15, 18, 21
The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.
Explanation:
The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.
x y
5 -18
0 -2
3 10
First row:
-2 + 4 (5) = y (5 is the value of x which is first multyply by 4)
-2 + 20 = -18 (value of y in the table)
Second row:
-2 + 4 (0) y
-2 + 0 = -2
Third row:
-2 + 4 (3) = y
-2 + 12 = 10
Well, let's first write these as points.
( 2 , 50 )
( 4 , 100 )
We can see that when "x" is reduced by 2, "y" is reduced by 50. This means that if we reduce "x" by 1, "y" will be reduced by 25. Thus, we can say that if "x" is 1, "y" will be 25.
( 1 , 25 )
What we know that 25 * 1 = 25, and that 2 * 25 = 50. We can see that multiplying "x" by 25 will give us our "y". We can now write this as an equation.
y = 25x
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The coefficient of x is the slope of the line , So the slope of the above equation is -3 .
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Remember from now on ,
Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .
Thus ;
m is the slope of the line which we want.
Negatives simplifies
Divide sides by 3
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We have following equation to find the point-slope form of the linear functions :
x(0) and y(0) are the coordinates of the point which the line passed through.
Add sides 8
Done....
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