Explain why 0 cannot be in the domain of an inverse variation.?
Inverse variation means y = k/x, right? Your question is why can't x = 0. Answer - you're not allowed to divide by 0.
Why cant 0 be the domain for inverse variation?
Inverse variation means that y = k/x for some constant k, or written as a function, that there is a function f, so that f(x) = k/x. Now notice that if 0 were in the domain, then f(0) would be defined, but f(0) = k/0 and division by zero is undefined. Therefore 0 cannot be in the domain.
Direct and Inverse Variation-Can someone explain these to me?
(I probably do not have time to finish all of them.) Write an appropriate inverse variation equation if y = 9 when x = 3. y = k/x, 9 = k/3, k = 27, y = 27/x If y varies directly as x, find the constant of variation if y = 32 when x = 8. y = kx, 32 = 8k, k = 4 The equation y=3/x represents a direct variation. False. Does the following set of data represent an inverse or direct variation? x | -1 | 0 | 1 | 2 | 3 | y | 2 | 0 | -2 | -4 | -6 | direct Write an appropriate inverse variation equation if y = 9 when x = 3. y = k/x, 9 = k/3, k = 27, y = 27/x If y varies directly as x, find the constant of variation if y = 32 when x = 8. y = kx, 32 = 8k, k = 4 The equation y=3/x represents a direct variation. False Does the following set of data represent an inverse or direct variation? x | -1 | 0 | 1 | 2 | 3 | y | -1 |undefined| 1 | 1/2 | 1/3 | inverse If y varies directly as x, find the constant of variation if y = 5 when x = -0.1. -50 If y varies inversely as x, find the constant of variation if y = 14 when x = 8. 112 True or False?: The equation y = 6x represents an inverse variation. FALSE Write an appropriate inverse variation equation if y = 3 when x = 7. y = 21/x If y varies directly as x, find the constant of variation if y = 12 when x =1/3 36 Write an appropriate direct variation equation if y = 8 when x = 4. 2 If y varies inversely as x, find the constant of variation if y = 36 when x = 9. 324 Write an appropriate inverse variation equation if y = 10 when x = 5. y = 50/x Write an appropriate direct variation equation if y = 30 when x = -10. y = -3x If y varies inversely as x, find the constant of variation if y = 100 when x = 0.2. 500
What is direct and inverse variation?
Direct variation describes a simple relationship between two variables . We say [math]y [/math]varies directly with [math]x [/math](or as [math]x [/math], in some textbooks) if:[math]y = k x[/math]for some constant [math]k [/math].This means that as [math]x [/math]increases, [math]y[/math]increases and as [math]x [/math]decreases, [math]y[/math]decreases—and that the ratio between them always stays the same.The graph of the direct variation equation is a straight line through the origin.Inverse variation describes another kind of relationship. We sayy[math]y[/math] varies inversely withx[math]x[/math] (or asx[math]x[/math] , in some textbooks) if :xy=k[math]xy=k[/math] ,or, equivalently,y=kx[math]y=kx[/math]for some constantk[math]k[/math] .This means that asx[math]x[/math] increases,y[math]y[/math]decreases and asx[math]x[/math] decreases,y[math]y[/math]increases.The graph of the inverse variation equation is a hyperbola .
Each ordered pair is from an inverse variation. find the constant of variation.?
y = k/x 1/3 = k/3 -->k = 1 6 = k/1/5 --> k = 6/5
Tell whether each relationship is an inverse variation. Explain.?
1. x+y = 8 y=-x+8 is not an inverse variation ( an inverse variation is of the form y= k/x, where k is a constant) 2) 4xy = 3 y = 3 /(4x) y = (3/4) (1/x) is an inverse variation of the form y= k/x , where k = 3/4
Algebra 2 direct and inverse variation- can someone please explain all of these to me?
1. If y varies directly as x means y = kx ...............where k is a constant For y = 8, and x = 2 25 = 5k k = 5 2. If y varies inversely as x means y = k/x 6 = 2k k = 3 3. Write an appropriate direct variation equation if y = 8 when x = 2 y = kx 8 = 2k k = 4 y = 4x 4. Write an appropriate inverse variation equation if y = 11 when x = 3 y = k/x 11 = k/3 k = 33 y = 33/x 5. If y varies directly as x, and y = 36 as x = 9, find y for the x-value 5. y = kx 36 = 9k k = 4 y = 4x For x = 5 y = 4 * 5 = 20 6. If y varies directly as x, and y = 14 as x = 7, find y for the x-value of 10. y = kx 14 = 7k k = 2 y = 2x For x = 10 y = 2*10 20 The graph of direct variation is a straight line and the graph of inverse variation is a curve
How do I apply direct and inverse variation to real life?
The distance you travel (in a given time) is directly proportional to your speed. After two hours at forty kilometres per hour you will have travelled eighty kilometres.The time taken to travel a given distance is inversely proportional to your speed. If you are twenty kilometres from home you can walk there (at 5 km/h) in four hours or drive there (at 40 km/h) in half an hour.This is all summed up in the following equation:distance = speed [math]\times[/math] timetime = [math]\frac{\text{distance}}{\text{speed}}[/math]speed = [math]\frac{\text{distance}}{\text{time}}[/math]There are, of course, lots and lots of such linear equations throughout mathematics and physics. This is but one simple example.
How can you tell if an equation is an inverse variation?? need answers ASAP!?
An inverse variation between x and y means that x is proportional to the (multiplicative) inverse of y, or: x = C * (1/y) ...where C is a nonzero constant. It's called the "constant of variation" or sometimes the "constant of propotionality". Different ways to write that are: x = C/y y = C/x xy = C These all say the same thing, and are different ways to write an inverse variation. (Notice that, unlike a direct variation, neither x nor y can be zero in an inverse variation.)