Use the four-step procedure for solving variation problem to solve: y varies directly as x and inversely as the square of z. y = 20 when x = 50 and z = 5. Find y when x = 3 and z = 6.

Q: In the inverse variation equation y = k/x what is the effect on x when y is doubled?

A: In the inverse variation equation  y=kx  what is the effect on x when y is doubled

Q: Use the four-step procedure for solving variation problem to solve: a varies directly as b and…

A: Given that: a varies directly as b and inversely as the square of c. So,  Where k is a constant.…

Q: If y varies directly with x and y = - when x = 8 4. find y when x = Write and solve a direct…

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Q: x varies inversely as the square of P. If x is 9 when P is 8​, find x when P is 4. ​a) Write the…

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Q: Suppose M varies directly as a and that M=120 when y=16. Write an equation that expresses the…

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Q: Use the four-step procedure for solving variation problem to solve: y varies directly as x. y = 45…

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Q: the intensity i of light varies inversely as the square of the distance d from the light bulb.…

A: The intensity I of light varies inversely as the square of the distance d from the light bulb. That…

Q: Y varies jointly as x and the square root of z; y=48 when x=2 and z=36. Find y when x=3 and z=25.​

A: Vv

Q: can you solve this? y varies directly as x. if y =10 when x = 4. What is the constant of…

A: Solution of the problem as follows

Q: Use the four-step procedure for solving variation problems to solve : The water temperature of the…

A: Let the water temperature be T°cand water's depth be h mAccording to question T α 1hT = chwhere c is…

Q: Suppose that y varies directly with x, and y= 15 when x= 6. (a) Write a direct variation equation…

A: If x and y vary directly, y varies directly with x,y ∝ xit means y = kx, where k is the constant of…

Q: Use the four-step procedure for solving variation problems to solve : The height that a ball bounces…

A: Let b and h be the bounce and height of the ball. Step 1: Writing the equation of the given…

Q: varies directly as g and inversely as r?. s jointly proportional to the square of x and the cube of…

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Q: Suppose a varies directly as 2b. (a) Express a in terms of k and b. (where k is the variation…

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Q: R varies directly as P and inversely as the square of T. If R = 30 when P = 40 and T = 2, a) Find…

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Q: Translate the statement of variation into an equation, and use k as the constant of variation: The…

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Q: R varies directly as P and inversely as the square of T. If R = 30 when P = 40 and T = 2, a) Find…

A: Explanation of the answer is as follows

Q: If s varies directly as the square of t, and s = 10, what is the constant of variation?

A: To determine the constant of variation from the given data

Q: If y varies directly with x and y = 30 when x = 5, find y if x = -3. First, find the direct…

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Q: Suppose that y varies directly with x, and y=3 when x 15. (a) Write a direct variation equation that…

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

A: Given

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as x and z. y =…

A: y varies jointly as x and z. y=kxzk is the constant of proportionality

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as m and the…

A: Write an equation that models the given statement.

Q: solve the equation below using variation of parameters y" + y' = x

A: The given differential equation is y''+y'=x the auxiliary equation is  D2+D=0DD+1=0D=0, D=-1 The…

Q: If y varies directly with x and y = -- when x = 4 when x = 5 find 8. Write and solve a direct…

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Q: In the following, y varies directly as x. Find the constant of variation and the equation of…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Find the variation constant and an equation of variation where y varies directly as x and y equals…

A: y varies directly as x , so we can write y=kxwhere k is variation constant.

Q: If y varies directly with x and y when x = find x when y 9' !! 5 Write and solve a direct variation…

A: Given, y varies directly with x y=79   when  x =59 We have to find x when y =25

Q: Find the constant of variation and write the formula that is expressed by the indicated variation. y…

A: Given query is to find the constant of variation.

Q: The variables y and x have a proportional relationship, and y = 24 when x = 16.   What is the…

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Q: The number of minutes needed to solve an Exercise Set of variation problems varies directly as the…

A: Let the number of minutes m varies directly as the number of problems n and inversely as the number…

Q: Suppose y vaires directly as x, and y=98 when x=14. Write a direct variation equation that relates x…

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Q: The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire…

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Q: Given that y varies directly as the square root of x and y = 6 when x = 9, find the variation…

A: It is given that y varies directly as the square root of x, thus the equation formed is- y=cx where…

Q: Suppose that y varies directly with x, and y= 15 when x=24. (a) Write a direct variation equation…

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Q: If y varies directly with x and y = 24 when x = -6, find y if x = -4. First, find the direct…

A: givenyαxor y=kxwhere k is any constantwhen y=24 and x=-6 then24=k(-6)k=-4

Q: Use the four-step procedure for solving variation problem to solve: y varies inversely as x. y = 12…

A: According to question, y varies inversely as x.y α 1x y = kx…

Q: Suppose that y varies directly with x, and y=5 when x= 20. (a) Write a direct variation equation…

A: Given y varies directly with x means y is proportional to x ⇒y=kx

Q: The time t required to drive a fixed distance varies inversely as the speed r. It takes 7hr at a…

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Q: Solve the problem. If A varies directly as the square of e, and A = 96 when e = 4, find A when e…

A: Given: A varies directly as the square of e

Q: Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

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Q: Suppose that y varies directly with x, and y=2 when x 16. (a) Write a direct variation equation that…

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Q: Find the constant of variation and the variation equation. y varies directly as the square root of…

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Q: Use the four-step procedure for solving variation problem: y varies directly as x. y = 65 when x =…

A: y =K×x ; where  K is the proportionality constant  as y=65 and x =5 we got: 65=k×5 k=13

Q: Šolve the variation problem. y varies directly as x.y = 45 when x = 5. Find y when x = 13. 13 O 225…

A: Solve

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as a and b and…

A: Since y varies directly as a and b and inversely as the square root of c, the equation is…

Q: Suppose that y varies directly with x, and y3D12 when x=15. (a) Write a direct variation equation…

A: 1.according to questiony α xor y=kx     where k is constantgiven y=12 and…

Q: Suppose that y varies directly with x, and y= 10 when x= 25. (a) Write a direct variation equation…

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Q: Find the variation constant and an equation of variation where y varies inversely as x and y = 2…

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Q: The volume, V, of a gas varies inversely as the pressure, P, on it. The volume is 2540 cm3  when the…

A: The volume, V, of a gas varies inversely as the pressure, P, on it. V=kPwhere k is the constant  The…

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.