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What is the constant variation for y x?
The constant variation for the relationship ( y = kx ) indicates that ( y ) varies directly with ( x ), where ( k ) is the constant of variation. This means that for any change in ( x ), ( y ) changes by a proportional amount determined by ( k ). If ( k ) is positive, ( y ) increases as ( x ) increases; if ( k ) is negative, ( y ) decreases as ( x ) increases. The value of ( k ) represents the rate of change between ( y ) and ( x ).
If y varies inversely as x and y 24 when x 8 find y when x is 4.?
If ( y ) varies inversely as ( x ), this means ( y = \frac{k}{x} ) for some constant ( k ). Given that ( y = 24 ) when ( x = 8 ), we can find ( k ) by substituting these values: ( 24 = \frac{k}{8} ) which gives ( k = 192 ). Now, to find ( y ) when ( x = 4 ), we use the equation ( y = \frac{192}{4} ), resulting in ( y = 48 ).
What is the definition for inverse proportional?
A variable, Y, is inversely proportional to another variable, X if XY = k for some positive constant k. An equivalent formulation is Y = k/X. What this means is that if you double X, then Y is halved. If you treble X then Y is reduced to a third etc.
What is Y squared plus y equals?
The expression "y squared plus y" can be written mathematically as (y^2 + y). This expression represents a quadratic equation in terms of (y). If you're looking to set it equal to something, you would typically write it as (y^2 + y = 0) or (y^2 + y = k), where (k) is any constant. To solve for (y), you could factor or use the quadratic formula, depending on the context.
What are the possible values of k if the line y equals 2x plus k meets the curve of y equals x squared -2x -7 at 2 distinctive points or at only 1 point?
The two lines are y = 2x + k and y = x² - 2x - 7 Which means they meet at: 2x + k = x² - 2x - 7 → x² - 4x - (k+7) = 0 This can be solved using the formula for quadratics: x = (- -4 ± √((-4)² - 4×1×-(k+7)))/2 = 2 ± √(4 + k + 7) = 2 ± √(k + 11) This has one solution when the determinant (the part in the square root) is 0, ie k + 11 = 0 → k = -11 If the determinant is positive, there are two solutions, ie k + 11 > 0 → k > -11 Thus the there are two distinctive points if k > -11, and only 1 point if k = -11.
What word in spanish starts with y?
y means and
What is the distance between two points (h k) and (x y)?
Using the distance formula it is the square root of: (h-x)^2 +(k-y)^2
What is the formula for circle?
Formula of a circle in a Cartesian plane: (x-h)^2+ (y-k)^2 = r^2 where the center is at (h,k) and the radius is r.
What are the values of the variables when the line y equals 3x plus 1 is a tangent to the curve x2 plus y2 equals k?
Equations: y = 3x +1 and x^2 +y^2 = k If: y = 3x +1 then y^2 = 9x^2 +6x +1 If: x^2 +y^2 = k then y^2 = k -x^2 Transposing terms: 10x^2 +6x +(1 -k) = 0 Using the discriminant formula: k = 1/10 Using the quadratic equation formula: x = -3/10 By substitution: y = 1/10
How can the graph of y equals kx be interpreted for different contexts?
It is a straight line through the origin and, if k > 0 reflects a direct relationship between x and y. This means that each unit increase in x is associated with y increasing by k. If k < 0 it reflects a direct but negative relationship and this means that each unit increase in x is associated with y decreasing by k. If k = 0 then the result is the x-axis. This means that changes in x are not associated with changes in y. None of the above imply causation.
What is the constant variation for y x?
The constant variation for the relationship ( y = kx ) indicates that ( y ) varies directly with ( x ), where ( k ) is the constant of variation. This means that for any change in ( x ), ( y ) changes by a proportional amount determined by ( k ). If ( k ) is positive, ( y ) increases as ( x ) increases; if ( k ) is negative, ( y ) decreases as ( x ) increases. The value of ( k ) represents the rate of change between ( y ) and ( x ).
What are the values of the variables when the equations of y equals 2x plus k and y equals x squared -2x -7 meet each other at one distinct point?
If: y = x^2 -2x -7 and y = 2x +k Then: x^2 -2x -7 = 2x +K Transposing terms: x^2 -4x +(-7 -k) = 0 Using the discriminant formula: 4^2 -4*1*(-7 -k) = 0 => k = -11 Using the quadratic equation formula: x^2 -4x +4 = 0 => x = 2 By substitution: y = -7 Therefore the values of the variables are: k = -11, x = 2 and y = -7
What does y k haces ahorita me in spanish?
It means: And what are you doing right now?
What is the formula for a circle?
Formula of a circle in a Cartesian plane: (x-h)^2+ (y-k)^2 = r^2 where the center is at (h,k) and the radius is r.
What is the definition for inverse proportional?
A variable, Y, is inversely proportional to another variable, X if XY = k for some positive constant k. An equivalent formulation is Y = k/X. What this means is that if you double X, then Y is halved. If you treble X then Y is reduced to a third etc.
If y varies inversely as the square of x and y equals 4 when x equals 3 find y when x is 2?
y varies as 1/x^(2) y = k X 1/^(2) y = k/x^(2) k = y x^(2) When y = 4 & x = 3 Then k = 4(3^(2)) k = 4(9) k = 36 (The constant of proportionality Hence the general equation is y = 36/x^(2) When x = 2 y = 36/2^(2) y = 36 /4 y = 9 The answer!!!!!
What does Y tu de donde eres mean in English?
"Y tú, ¿qué estás haciendo?" means, "And you? What are you doing?"
