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jek_recluse [69]
4 years ago
7

Which function is the inverse of f(x) = 2x+3?

Mathematics
1 answer:
Leona [35]4 years ago
7 0

Answer:

28

Step-by-step explanation:

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Write the expression in factored form. m^4 - n^2
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m^4-n^2=(m^2-n)(m^2+n)
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Change the equation from standard form to slope-intercept form -5x-2y=-3
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John is creating crafts that require 4 2/5 inches of string each. If the string comes in a 50ft spool, how many items can he mak
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A line passes through (2,4) and (-2,2). find the value of y if (6,y) lies on the same line
katrin2010 [14]

Answer:

y = 6, rendering the coordinate pair: (6,6)

Step-by-step explanation:

We start by writing the equation of the line that passes through two given points on the plane: (x_1,y_1) and (x_2,y_2) beginning with finding the slope of the segment that joints the points using the slope formula: slope=\frac{y_2-y_1}{x_2-x_1}

Let's call (x_1,y_1) = (2,4), and (x_2,y_2) = (-2,2). Then we have the formula for the slope:

slope=\frac{y_2-y_1}{x_2-x_1}=\frac{2-4}{-2-2} =\frac{-2}{-4} =\frac{1}{2}

Now that we have the slope of the line, we can find the actual equation of the line by using one of the given points, and the "point-slope" form of a line with slope "m" and going through a point (x_0,y_0) - which in our case we defie as one of our given points, let's say (2, 4):

y-y_0=m\,(x-x_0)\\y-4=\frac{1}{2} (x-2)\\y-4=\frac{1}{2} x-1\\y=\frac{1}{2} x-1+4\\y=\frac{1}{2} x+3

now we find what is the "y" value in such line that corresponds to an x-value of "6" to complete the coordinate pair (6, ?). For such we simply evaluate the equation above at x = 6:

y=\frac{1}{2} x+3\\y=\frac{1}{2} (6)+3\\y=3+3\\y=6

Therefore, y must be "6".

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4 years ago
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