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The slope of an inverse relationship

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Q: Must be positive the slope of an inverse relationship?
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What is the sum of a fractional number and its additive inverse?

0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.


If the slope is -3 what is the slope of the other line?

if there parallel its -3 but if there perpendicular the other lane must be positive:D


What are the formulas of the equation of the line?

y = mx + c Is the general equation of a straight line Where 'm' is the slope/gradient of the line and 'c' is the intercept on the y-axis. This equation can be algebraically rearranged. ny = mx + c ny - mx = c ny - mx - c = 0 or mx - ny + c = 0


What is the slope of y equals -13?

0A line with the equation y = -13 is a horizontal line. The slope is zero.If you think of the "y = mx + b" form of a straight line, the 'b' must be -13, and the 'm' must be zero since there is no x term. 'm' is the slope, so the slope is 0.


What is an inverese in algebra?

An inverse is another word for opposite. The inverse for adding is subtraction, multiplication is division, etc. If you are solving an equation, and have to get a variable alone, you must eliminate any other numbers with the variable, which means undoing the operation (x, +, -, /); so you perform the inverse. Example: x + 3 = 9. Subtract 3 on both sides to get x alone, because subtraction is the inverse of addition: x = 6. Example: 2x + 3 = 9. You must do the inverse of addition and subtraction before the inverse of multiplication and division. In this case, after subtracting 3 you have: 2x = 6. x is being multiplied by 2, so the inverse is division, and your answer is x = 3.

Related questions

Can two lines with positive slopes be parallel?

yes they can be parallel because for a pair of lines to be parallel the slope must be the same no matter if the slope is positive or negative.


What changes the slope parameter in y mx would result in a graph with positive correlation?

y=mx+[1] The number in the [] must be positive


Why negative numbers don't have logarithim?

The logarithmic function is not defined for zero or negative numbers. Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers. (Wait until you get to complex analysis, though!)


What are inverse numbers?

An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.


What is the additive inverse of -391?

391 A number and its additive inverse must equal zero.


What are inversions?

An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.


What is the sum of a fractional number and its additive inverse?

0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.


How can you tell from a linear equation which direction it goes without graphing the equation?

You must find the slope, if it is positive, then the line is always increasing. If it is negative, then the line is always decreasing.


What is an inverse relationship between x and y?

That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)


What is PIV in electronics?

The Peak inverse voltage (PIV) equals the peak value of the input voltage, and the diode must be capable of withstanding this amount of repetition reverse voltage. For the diode in figure, the maximum value of reverse voltage, designated as PIV, occurs at peak of each positive alternation of the input voltage when the diode is forward biased.Peak Inverse Voltage at Positive Half CycleThe Peak Inverse Voltage (PIV) occurs at the peak of each half-cycle of the input voltage when the diode is forward biased . In this circuit, the PIV occurs at the peak of each positive half cycle.


Why does the supply curve have a positive slope?

To answer why the supply curve has a positive slope, we must understand the nature of supply and what the curve represents.The supply curve indicates that for the market to increase its output (Q), prices must increase (P). Why? The market supply curve is the collection of the firms' supply curves. Firms face rising marginal costs of production due to diminishing marginal returns to capital and labour (MPL, MPK decrease as L and K increase). That is, the second derivatives of Q(L) and Q(K) are negative. This means that if firms face increased demand and need to produce more output, they will face increasing costs as they produce this greater output. As a result, the price that they must receive to produce this output increases, in order to continue to receive a zero profit in a perfectly-competitive market.The explanation provided below describes the supply curve.The supply curve has a positive slope because of the relationship between a price change and quantity supplied. The Law of Supply tells us that as prices increase quantity supplied will increase as well and vise versa. The relationship between price and quantity supplied is positive or direct.


Why is the additive inverse of a positive number always negative?

The short answer is because of the definition. A longer answer is: Start of with a negative number X whose additive inverse is Y. SUPPOSE Y is not positive. Then X + Y is one negative, X, less another number that is at most 0, Y. So their sum is less than or equal to X. That is, X + Y is at least as negative as X (and possibly even more negative). But if Y is the additive inverse of X then, by definition (of additive inverses), X + Y MUST be 0. That is a contradiction. So somewhere down the line there is an incorrect supposition. The only supposition above is that Y is not positive. So that supposition must be incorrect. Therefore Y is positive.