An airplane flying into a headwind travels the 1530-mile flying distance between two cities in 3 hours. On the return flight, the airplane travels this distance in 2 hours and 30 minutes. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant. airspeed      mi/h wind speed      mi/h

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A: The given equation is x-ax-b=ab

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Q: Determine the value of k so that the following linear equations have no solution: (3k+1)x+3y-2=0…

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Q: Eliminate the arbitrary constant of the equation: y2(a-x)=x3

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A: The First Order Linear Equation, y'-3y=6.

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A: Solve the following linear equations: (x+3)(x-1) = x^2+5

Q: Solve the given Linear equation.  7-x=19+x

A: Given 7-x=19+x

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A: We have to eliminate the arbitrary constants

Q: A. Solve the following linear equations. Show your solutions. BY GRAPHING 1. x+y = 6 x-y = 4 2. x+…

A: Solution is the point of intersection of the two lines.

Q: Which of the following pairs of equations are equivalent? Explain. (a) x? = 9; x = 3 (b) x = V9; x =…

A: To check the equivalent pairs. a) x2=9; x=3b)x=9; x=3c) x-1x-2=x-12; x-2=x-1

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Q: Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob…

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Q: find each value of a and b solving the linear equations x-w=2 y-z+w=3 az=1 y+bw=0

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Q: I have trouble with this equation, it won't let me put it as a fraction.

A: Given equation is

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Q: Which of the following pairs of equations will give. an infinite number of solutions? x-2y = 1 A x+…

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Q: Solve the given linear equation. -x + 3 = 4x

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Q: Determine if they are linear equations and explain why or why not.

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Q: Determine if the given equation is a linear equation in two variables. 8x²-7y=-1

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Q: A car travels 450 miles in the same time that a motorcycle travels 390 miles. If the car's speed is…

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Q: Eliminate all the arbitrary constants in the equation y = Ae2x + Be-6x + Ce^x

A: We have to eliminate all the arbitrary canstants A, B and C

Q: company

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Q: Where do these 2 equations intersect? y = -1/2x + 4 x = -5

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Q: Solve the following difference equation: 2yn-2 - 3Yn-1 - 2Yn =1 Yo -1, y - 2

A: Given the equation is  2yₙ-2 - 3yn+1 -2yn = 1 and yo=1, y1=2 First we have to change this into a…

Q: A small radio transmitter broadcasts in a 64 mile radius. If you drive along a straight line from a…

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Q: x² + y = 0 lx³ – 2x – y = 0

A: Given equations are, x2+y=0⋯⋯⋯⋯1x3-2x-y=0⋯⋯2 From equation (1), x2+y=0y=-x2⋯⋯⋯3 Substitute the value…

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A: the given linear equation is: 4x-95=1 we have to solve the given linear equation.

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A: Suppose the student takes X credits each semester and he/she has Y credits before the beginning of…

Q: large ice floe is floating at a speed of 5 kilometers per hour. A polar bear leaves the ice floe and…

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Q: Solve the following linear equation:

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Q: a) Write and simplify a linear equation in one unknown to determine the sum of four consecutive odd…

A: Consider the four consecutive odd integers are (2x+1), (2x+3), (2x+5), and (2x+7)

Q: Determine the value of k so that the following linear equations have no solution: (3k+1)x+3y-2=0…

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Q: Solve the given linear equation.

A: The given linear equation  is 2+13x=-4 To solve for x

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A: Given differential equation, 3dxdt-2x=1

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A: Given that: Height of candle, h=8 inBurning rate=34 in /hr

Q: Determine whether the two equations areequivalent.

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Q: Which of the following pairs of equations are equivalent? Explain.(a) x2 = 9; x = 3     (b) x = √9;…

A: Consider the pairs  a    x2 = 9;    x = 3    b   x =9;     x = 3c  x − 1x − 2=x − 1 2 ;     x − 2 =…

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.