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Natali [406]
4 years ago
15

Which line has a greatest initial value but smaller rate of change line m?

Mathematics
1 answer:
oee [108]4 years ago
6 0

Answer:

  y = x + 3

Step-by-step explanation:

The initial value is the y-intercept, the y-value where the line crosses the y-axis. For line m, it is 1. So, you need an equation for a line that has a constant greater than 1. This eliminates the first and third choices.

The rate of change is the slope, the x-coefficient. For line m, the rise/run is 2/1 = 2. So, you need an equation for a line that has an x-coefficient less than 2. This eliminates the fourth choice.

The only viable choice is the second one:

  y = x + 3

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Step-by-step explanation:

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3 years ago
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Notation

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.

Inverses

A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.

A function f -1 is the inverse of f if

<span><span>for every x in the domain of f, f<span> -1</span>[f(x)] = x, and</span><span>for every x in the domain of f<span> -1</span>, f[f<span> -1</span>(x)] = x</span></span>

The domain of f is the range of f -1 and the range of f is the domain of f<span> -1</span>.

Graph of the Inverse Function

The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.

Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.

The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.

6 0
4 years ago
Kim has a lawn service business. The equation 165 – 105x + 3y = 0 relates y, her weekly profits , and 2, the number of lawns she
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Answer:

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2. 55

3. y= mx + b

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3 years ago
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Answer:

The essence of Mathematics lies in its freedom

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3 years ago
What is the perimeter and area of 5.6 2.1
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If 5.6 and 2.1 are the measurements then:
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Area=11.76squared
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7 0
4 years ago
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