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Find an equation of joint variation if P varies jointly as q r and s One set of values is p equals 70 Q equals 7 R equals 5 and S equals 4?
If P varies directly with q, r and s then P = kqrs, where k is a constant. As 70 = k x 7 x 5 x 4 = 140k : k = 70/140 = 1/2 The equation of joint variation is P = ½qrs.
How do you know if the equation is a direct variation?
When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. y=2x is direct variation y=x+2 is not direct variation
These values are also called because they are the values at which the equation equals zero?
zeros values at which an equation equals zero are called roots,solutions, or simply zeros. an x-intercept occurs when y=o ex.) y=x squared - 4 0=(x-2)(x+2) (-infinity,-2)(-2,2) (2,infinity)
Find all integer values of x that make the equation or inequality true x2 equals 9?
that would be limited to 3 and -3 for values of x
Which variation is very sensitive to extreme values?
Any variation is very sensitive to extreme values!
What is a equation of variation where y varies directly as x and y equals 0.8 when x equals 0.4?
The equation representing direct variation can be expressed as ( y = kx ), where ( k ) is the constant of variation. To find ( k ), we can use the given values: when ( x = 0.4 ), ( y = 0.8 ). Substituting these values into the equation gives ( 0.8 = k(0.4) ), leading to ( k = 2 ). Thus, the equation of variation is ( y = 2x ).
If the equation of variation where y varies directly as x One pair of values is y equals 80 when x equals 40?
Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ), where ( k ) is the constant of variation. Given the values ( y = 80 ) when ( x = 40 ), we can find ( k ) by substituting these values into the equation: ( 80 = k(40) ). Solving for ( k ) gives ( k = 2 ). Therefore, the equation of variation is ( y = 2x ).
Find an equation of variation where y varies directly as x. One pair of values is y 80 when x 40?
Since ( y ) varies directly as ( x ), we can express this relationship with the equation ( y = kx ), where ( k ) is the constant of variation. Given the values ( y = 80 ) when ( x = 40 ), we can find ( k ) by substituting these values into the equation: ( 80 = k(40) ), which gives ( k = 2 ). Thus, the equation of variation is ( y = 2x ).
Find an equation of joint variation if P varies jointly as q r and s One set of values is p equals 70 Q equals 7 R equals 5 and S equals 4?
If P varies directly with q, r and s then P = kqrs, where k is a constant. As 70 = k x 7 x 5 x 4 = 140k : k = 70/140 = 1/2 The equation of joint variation is P = ½qrs.
Find an equation of variation where y varies directly as x and y 28 when x 7.?
Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ), where ( k ) is the constant of variation. Given that ( y = 28 ) when ( x = 7 ), we can substitute these values into the equation to find ( k ): [ 28 = k(7) \implies k = 4. ] Thus, the equation of variation is ( y = 4x ).
Suppose y varies directly with x Write a direct variation equation that relates x and y when x is 2 and y is 5?
Since y varies directly with x, we can express this relationship as ( y = kx ), where ( k ) is the constant of variation. To find ( k ), we can use the given values: when ( x = 2 ) and ( y = 5 ). Substituting these values into the equation gives us ( 5 = k(2) ), which simplifies to ( k = \frac{5}{2} ). Therefore, the direct variation equation is ( y = \frac{5}{2}x ).
How would you determine the equation of a direct variation?
To determine the equation of a direct variation, you start by identifying the relationship between the two variables, typically represented as ( y ) and ( x ). The equation can be expressed in the form ( y = kx ), where ( k ) is the constant of variation. To find ( k ), you can use a set of values for ( y ) and ( x ) and solve for ( k ) by rearranging the equation to ( k = \frac{y}{x} ). Once you have ( k ), you can write the complete equation of the direct variation.
How do you find the constant and slope for direct variation equations?
For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
Is a plus 2a equals 3a equation or expression?
It is, in fact, an identity - which is an equation which is true for all values of the variable.
What are the values called at which the equation equals zero?
They are called the solutions or roots of the equations.
If y varies inversely as x and y equals 12 when x equals 6 what is k the variation constant?
If y and x are related inversely, then the equation for y can be said to be:y = k/xTo find the constant k, substitute 12 for y and 6 for x (a pair of values that are known to satisfy the equation).y = k/x12 = k/612 X 6 = k72 = kThe value of the variation constant k is 72.
Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.?
To find the constant of variation ( k ) for an inverse variation, use the formula ( y = \frac{k}{x} ), where ( y ) and ( x ) are known values. Rearranging gives ( k = y \cdot x ). Once you have ( k ), you can write the equation for the inverse variation as ( y = \frac{k}{x} ). For example, if ( k = 12 ), the equation would be ( y = \frac{12}{x} ).
