Variation Suppose that z is inversely proportional to y andthat z  12 when y  16. Write an equation that expressesz in terms of y.

Q: H varies directly as L. If H =20 when L =40, determine H when L=30.   a) Write the variation…

A: Given that H varies directly as Land if H=20 where L=40∴ H∝ L⇒ H= K.Lwhere K = proportionality…

Q: Write the equation expressing the relationship "y varies directly as x." Use k as the constant of…

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Q: x varies directly as z and inversely as the difference between y and w.Write an equation that…

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Q: Circle the equations that represent a proportional relationship. A. y= 3x – 2 B. y= 2.5x C. y= -3x 1…

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Q: The maximum weight M that can be supported by a beam is jointly proportional to its width w in…

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Q: A 35-camera allows you to control the diameter d of the aperture by changing the stopwhich varien…

A: Note: This question contains multiple, answer to the first three subparts are given. If there is a…

Q: Assume y varies directly with x and y = 85 when x = 17 a) Find the variation constant. b) Write the…

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Q: Find a mathematical model for the verbal statement. (Use k for the constant of proportionality.) h…

A: Topic:-  function

Q: y is inversely proportional to x3. (y = 7 when x = 2.)Find a mathematical model that represents the…

A: Given: y=7 And x=2 y is inversely proportional to x3

Q: Write a variation equation for the following statement (use k for the constant of proportionality):…

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Q: If H=36 when L=60, determine H when L=40 write the variation equation  Determine the value of the…

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Q: Find an equation of variation where y varies inversely as the square of x, and where y=0.72 when x…

A: Given,          An equation of variation where y varies inversely as the square of x, and where…

Q: Write an equation that expresses the following relationship.w varies directly with uand inversely…

A: Write an equation that expresses the following relationship. w varies directly with u and inversely…

Q: Find the inverse variation equation given y=6 when x= 4. (Type an equation. Use integers or…

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Q: Express the statement as an equation. Use the given information to find the constant of…

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Q: express the statement as an equation. (use k as the constant of proportionality.)      A varies…

A: We have to find out

Q: The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a…

A: Calculation:a. The initial statement Frequency is inversely proportional to the square root of the…

Q: z varies jointly as x and y. (z = 64 when x = 4 and y = 8.)Find a mathematical model that represents…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Write an equation to describe the variation. Use k for the constant of variation.      x varies…

A: Given:x varies directly as y and z and inversely as r.

Q: Write an equation to describe the variation. Use k for the constant of proportionality. t varies…

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Q: Find a mathematical model for the verbal statement. (Use k for the constant of proportionality.) V…

A: Answer

Q: Find the variation constant and an equation of variation where y varies inversely as x and y=10 when…

A: y varies inversely as x y=10, x=3

Q: y 4 6.4 7 11.2 10 16 13 20.8 Determine whether y varies directly with x. If so, find the constant of…

A: Given: y varies directly with x      x     y      4    6.4      7    11.2      10     16…

Q: z varies directly as the square of x and inversely as y.(z = 6 when x = 6 and y = 4.)Find a…

A: Given,z varies directly as square of x and inversely as y. ⇒z∝x2⇒z∝1y⇒x=kx2y     (k =constant of…

Q: y is directly proportional to x. (y = 54 when x = 3.)Find a mathematical model that represents the…

A: Given, y ∝ x ⇒ y = k x   where k is constant of proportionality

Q: a. Use the equation y = }x to fill in the table. Is y proportional to x and y? Explain why or why…

A: Given :  The equation y = 52x   To determine :  The values A , B , C of y in the given table using…

Q: Express the statement as an equation. Use the given information to find the constant of…

A: Express the statement as an equation. Use the given information to find the constant of…

Q: Write an equation that expresses the following relationship. p varies directly with d and inversely…

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Q: The amount of metal that can be extracted from the ore is proportional to the amount of the ore…

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Q: Express the statement as an equation. (Use k as the constant of proportionality.) A varies inversely…

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Q: Variation 04: If A = 45 when B= 9 and the values of A and B are inversely proportional, what is the…

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Q: Express the statement as an equation. (Use k as the constant of proportionality.) S is directly…

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Q: Write an equation that expresses the following relationship. p varies directly with d and inversely…

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Q: Express the statement as an equation. (Use k as the constant of proportionality.) Wis inversely…

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Q: The intensity of illumination I from a light varies inversely as the square of the distance d from…

A: The intensity of illumination I from a light varies inversely as the square of the distance d from…

Q: Find the variation constant and an equation of variation for the given situation. y varies…

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Q: Write an equation that expresses each relationship. (a) y is directly proportional to x. (b) y is…

A: The following relationships: a)   y is directly proportional to x. b)  y is inversely proportional…

Q: H varies directly as L. If H =24 when L=30, determine H when L=20. a.) write the variation equation…

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Q: Find the variation constant and the corresponding equation for the situation when 20. 5 Let y vary…

A: Given y varies inversely with respect to x so

Q: Use the equation editor or upload a picture of your work. Solve for the missing variable showing all…

A: If 'x' is inversely  proportional to 'y' then x∝1 y or  x = k1y, where , 'k' is proportional…

Q: Construct an equation of variation and find the constant of proportionality for the following…

A: Given that, x is inversely proportional to the square root of y.That is,

Q: Express the statement as an equation. Use the given information to find the constant of…

A: If A varies inversely to some variable as r, it can be denoted as A =kx where k is some constant…

Q: Write an equation to describe the variation. Use k for the constant of proportionality.   u varies…

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Q: Quantity y varies inversely with the square of x.  y has value 5 when x=3. When y=9, what is the…

A: Quantity y varies inversely with the square of x.  y has value 5 when x=3. When y=9, what is the…

Q: Find an equation of variation in which y varies jointly as x andz and inversely as the product ofw…

A: If a variable (m) varies as (n) then it means that  m α n   If a variable (m) inversely varies as…

Q: A quantity z varies directly with y and inversely with the square of z. If x = 2 when y = 4 and z =…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: A is inversely proportion to the cube of B When A=3, B=2 Find the equation connection A and B Find…

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Q: Write an equation that expresses each relationship.(a) y is directly proportional to x.(b) y is…

A: (a)    y  is directly proportional to  x⇒ y α x…

Q: A statement describing the relationship between the variables x,y and z is given. (a) Express the…

A: Given relation of the variables x, y, z as follows,  z varies directly as the cube of x and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.