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If Rx and Ry denote ranges of x and y respectively where x and y are related by 3x+2y+10=0, what would be the relation between x and y?
- a)Rx = Ry
- b)2 Rx= 3 Ry
- c)3 Rx= 2 Ry
- d)Rx= 2 Ry
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If Rx and Ry denote ranges of x and y respectively where x and y are r...
Given equation: 3x + 2y = 10
To find the relation between the ranges of x and y, we need to rewrite the given equation in terms of x or y.
We can solve for y in terms of x as follows:
3x + 2y = 10
2y = -3x + 10
y = (-3/2)x + 5
Now we can see that the equation of the line representing the relation between x and y is y = (-3/2)x + 5. This is a linear equation in slope-intercept form, where the slope is (-3/2) and the y-intercept is 5.
Relation between Rx and Ry:
Rx is the range of x values, and Ry is the range of y values that satisfy the given equation. To find the relation between Rx and Ry, we need to look at the graph of the line y = (-3/2)x + 5.
The slope of the line is negative, which means that as x increases, y decreases. This tells us that Rx and Ry are inversely related.
Specifically, we can say that:
- Rx is the range of x values that satisfy the equation.
- Ry is the range of y values that satisfy the equation.
- Since the slope of the line is -3/2, we can say that for every 2 units increase in Rx, Ry decreases by 3 units.
- Therefore, we can write the relation between Rx and Ry as 3Rx = 2Ry.
To find the relation between the ranges of x and y, we need to rewrite the given equation in terms of x or y.
We can solve for y in terms of x as follows:
3x + 2y = 10
2y = -3x + 10
y = (-3/2)x + 5
Now we can see that the equation of the line representing the relation between x and y is y = (-3/2)x + 5. This is a linear equation in slope-intercept form, where the slope is (-3/2) and the y-intercept is 5.
Relation between Rx and Ry:
Rx is the range of x values, and Ry is the range of y values that satisfy the given equation. To find the relation between Rx and Ry, we need to look at the graph of the line y = (-3/2)x + 5.
The slope of the line is negative, which means that as x increases, y decreases. This tells us that Rx and Ry are inversely related.
Specifically, we can say that:
- Rx is the range of x values that satisfy the equation.
- Ry is the range of y values that satisfy the equation.
- Since the slope of the line is -3/2, we can say that for every 2 units increase in Rx, Ry decreases by 3 units.
- Therefore, we can write the relation between Rx and Ry as 3Rx = 2Ry.
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Community Answer
If Rx and Ry denote ranges of x and y respectively where x and y are r...
Hi Mr Napur kansi...do u know that if "x" and "y" are related by y=a+bx
then Ry(range of y)=modules of b *Rx(range of y)
From question y=-5+(-3/2)*x
Ry=modules of b * Rx
Modules b=3/2
Ry=3/2× Rx
2Ry=3Rx
then Ry(range of y)=modules of b *Rx(range of y)
From question y=-5+(-3/2)*x
Ry=modules of b * Rx
Modules b=3/2
Ry=3/2× Rx
2Ry=3Rx
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If Rx and Ry denote ranges of x and y respectively where x and y are related by 3x+2y+10=0, what would be the relation between x and y?a)Rx = Ryb)2 Rx= 3 Ryc)3 Rx= 2 Ryd)Rx= 2 RyCorrect answer is option 'C'. Can you explain this answer?
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