Write an equation that expresses the relationship, x varies jointly as y and the square of z. Then solve the equation for y.

Q: Write an equation describing the relationship of the given variables. y varies jointly as x and the…

A: If y varies jointly as x and the square root of z, then we have

Q: Write an equation that expresses the statement. P  varies inversely as T.

A: Given : P  varies inversely as T.

Q: Eliminate all the constant in the equation and simplify your final answer. 1. y = C,x + C2e*

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Q: Write an equation that expresses the statement. P is directly proportional to w.

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Q: Write an equation describing the relationship of the given variables. y varies jointly as the square…

A: From the given information, the general formula for joint variation is

Q: A person standing on a moving walkway travels 75 feet in 25 seconds. what equation represents the…

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Q: Find the equation and value

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Q: Write an equation that expresses the statement. z  is proportional to the square root of y.

A: Given  z  is proportional to the square root of y

Q: "Statins" are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:…

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Q: Write an equation that expresses the statement. y is proportional to s and inversely proportional to…

A: y is proportional to s and inversely proportional to t.

Q: Find an equation of variation where y varies jointly as x and the square of z, and where y = 105…

A: y varies jointly as x and the square of z, and where y=105 when x=55 and z=7

Q: Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S…

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Q: A(0, 270) 250 200 150 100 (1.5, 80) 50 0.5 1 1.5 2 2.5 h (hours since injection) m (mg of drug in…

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Q: Find an equation of variation where y varies directly as the square of x, and where y=0.46 when…

A: Given : y varies directly as the square of x. y = 0.46x = 0.1

Q: Write an equation has y-intercept –4 and x-intercept 3.

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Q: Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S…

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Q: Julie rode her bike for 5 miles in 37.5 minutes. The equation y=7.5x represents this situation. What…

A: An equation in the form y=kx (which is a direct variation) has a constant of proportionality of k.…

Q: Solve y'=+x

A: We have to solve the given differential equation.

Q: "Statins" are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:…

A: The Sales of Statin in the U.S are given by S – 1.4 x = 4.7 where x is the number of years after…

Q: Write an equation that expresses the statement. A is jointly proportional to the square roots of x…

A: To write an equation that expresses the statement. A is jointly proportional to square roots of  x…

Q: An airplane has a length of 256 feet and a wingspan of 295 feet. A toy model airplane was designed…

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Q: Write an equation describing the relationship of the given variables. Y varies directly as the…

A: Given y varies directly as the fourth power of x. i.e. y∝x4   .....1 and x=2y=112

Q: The difference equation given Ayt = ayt-B can be written as

A: This is the question of generating function, difference equation, counting and finite math.

Q: 64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44. Write…

A: Given,          64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older…

Q: y varies directly as the fourth power of x and when x = 3, y = 648.

A: 1

Q: The power in an electric circuit varies jointly as the current and the square of the resistance. If…

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Q: write an equation describingthe relationship of the given variables  a) y varies jointly as x and…

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Q: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

A: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

Q: Write an equation describing the relationship of the given variables. y varies jointly as x and the…

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Q: Please solve and show your work

A: x= number of years after 1998So, 2016 is x=2016-1998=18

Q: The number of pages (p) that Ethan reads varies directly as the number of hours (t) he is reading.…

A: Given: The number of pages (p) varies directly as the number of hours (t). Also, Ethan can read 21…

Q: Which equation shows direct variation? Choose 1 answer. A 3 x = y 1 B. 3 エ+Y= 3 3

A: Given,               A.  3.x= y             B.  x.y =1/3             C. 1/3.1/x =y             D.…

Q: Write an equation describing the relationship of the given variables. y varies directly as the…

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Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

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Q: "Statins" are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:…

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Q: Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S…

A: Given:- Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The…

Q: Solve the equation graphically.

A: x+4=x2-5

Q: Write an equation for the given situation

A: General form of equation passing through points x1,y1 and x2,y2 is y-y1=y2-y1x2-x1x-x1

Q: Write an equation that expresses the statement. T varies directly as x.

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Q: Write an equation that expresses the statement. w is proportional to the product of  m and n.

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Q: The value of y varies directly as x and the square of z, and y = 90 when x = 5 and z = 3. Find the…

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Q: variable. y − b x = m   for y

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Q: The amount of gas that a helicopter uses is directly proportional to the number of hours spent…

A: Given data is: The helicopter flies for 2 hours and uses 12 gallons.

Q: A car’s value varies inversely with its age. Jackie bought a 10-year-old car for $2,400. ⓐ Write…

A: Given:Jackie bought a 10-year old car for $2400Car's value varies inversely with its ageC=kAwhere…

Q: Write an equation that expresses the statement. S is proportionalt to the product of the squares of…

A: To express the following statement in an equation S is proportional to the product of the squares of…

Q: Write an equation describing the relationship of the given variables.   y varies inversely as the…

A: Given,y varies inversly as the cube root of x and when x=125, y=2y∞1x3⇒y=kx3=kx13 -1When k is…

Q: One yard is approximately 0.91 meter. Write a direct variation equation that relates x yards to y…

A: Ans (1) we have given 1 yard = 0.91 meter⇒x α y⇒ x = kywhere x is in yards            y is in…

Q: Write an equation describing the relationship of the given variables. Y varies inversely as the cube…

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Q: Write an equation that represents the relationship between the given variables. Usek as the…

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Q: A car’s value varies inversely with its age. Jackie bought a 10-year-old car for $2,400. Write the…

A: Given: The car’s value varies inversely with its age. Jackie bought a 10 year old car for $2400. To…

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.