Step-by-step explanation:
1/2 is 3/6
1/6+3/6=4/6 which simplified is 2/3
Answer:
Less than
Step-by-step explanation:
2/3 * 6/10 gives us 12/30
12/3 / 30/3 = 4/10
4/10 < 6/10
Therefore, the product of 2/3×6/10 is less than 6/10
The x-intercept and y-intercept are (-3,0) and (0,4/5).
Given,
-3x-4=-5y-8
We need to find the intercept of the line.
<h3>What are intercepts?</h3>
Intercepts are the points at which the line crosses the axis.
There are two intercepts :
x-intercept - the point at which the line crosses the x-axis.
Here, y = 0.
y-intercept - the point at which the line crosses the y-axis.
Here, x = 0.
The line is -3x - 4 = 5y - 8
Put x = 0,
-3 x 0 - 4 = 5y - 8
0 - 4 = 5y - 8
5y = 8 - 4
y = 4 / 5
So,
( 0, 4/5 ) is the point where the line crosses the y-axis.
This is the y-intercept.
Put y = 0,
-3x - 4 = 5y - 8
-3x - 4 = 5 x 0 - 8
-3x - 4 = 0 - 8
-3x - 4 = 8
3x = -8 - 4
3x = -12
x = -12/4
x = -3
( -3, 0 ) is the point where the line crosses the x-axis.
This is the x-intercept.
Thus x-intercept and y-intercept are (-3,0) and (0,4/5).
Learn more about intercept here:
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Answer:
1/(3x) =(x -2)/(4x^2 +9)
Step-by-step explanation:
The denominator cannot be factored further, so the final form will be ...
A/(3x) + (Bx +C)/(4x^2 +9)
The value of this is ...
(A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))
= ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))
Equating coefficients gives ...
3B+4A = 7
3C = -6 ⇒ C = -2
9A = 9 ⇒ A = 1
Using the found value of A, we find ...
3B +4 = 7 ⇒ B = 1
Then the decomposition is ...