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atroni [7]
4 years ago
5

Steps to find the inverse

Mathematics
1 answer:
Ierofanga [76]4 years ago
7 0

Answer:

f^-1(x) = 8x/(3-x)

Step-by-step explanation:

y = 3x/(8+x)

x = 3y/(8+y)

x(8+y) = 3y

8x + xy = 3y

8x = 3y - xy

8x = y(3-x)

8x/(3-x) = y

You might be interested in
Mia found the area of a polygon The area is 32 square cm.
solniwko [45]

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2}

This polygon does not have an area of 32 cm².

For the rectangle we have:

A_{r} = bh = 6 cm*4 cm = 24 cm^{2}

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2}

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2}

This polygon does have an area of 32 cm².

   

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!                              

8 0
3 years ago
Is the following relation a function? (
PolarNik [594]
No, because there are TWO values of y for a certain value of x

say x=5, then y=2 and y=-2

That does not satisfy the concept of the function.
4 0
3 years ago
Read 2 more answers
Triangle NOP is similar to triangle QRS. Find the measure of the side QR. Figures are not drawn to scale. Please solveeeeee
vaieri [72.5K]
It looks like the measure would be 97 or 93 I think
6 0
3 years ago
0.9(x+1.4)−2.3+0.1x=1.6
IgorC [24]

so what you do is  distribute the 0.9 to x and 1.4 to get 0.9x+1.26 then combine like terms 1.9x - 1.04= 1.6 then add 1.04 to both sides to get 1.9x = 2.64 divide 1.9 to both sides


answer:1.389 and if you round 1.39

6 0
4 years ago
It asks me to use the first step of the three step process to find the pattern of the table.
drek231 [11]

Answer:

y = 2.54

Step-by-step explanation:

Please input an actual table, such as the following:

x    y

5    12.7

6    15.24

7     17.78

8    20.32

It appears that we're converting inches to centimeters.

It so happens that 1 inch = 2.54 cm.  The '2.54' is the slope of a straight line, as the number of cm equivalent to x inches is c = 2.54x.

Arbitrarily taking the 2 points (5, 12.7) and (8, 20.32), we find the slope of the line through these points.  As we go from the first to the second, the x-value ('run') increases from 5 to 8 (that is, it increases by 3) and the y-value ('rise') increases from 12.7 to 20.32 (that is, it increases by 7.62.  Thus, the slope of the line through these two points is m = rise / run = 7.62 / 3 = 2.54.

Now find the equation of the line thru these two points.   Using the slope-intercept formula y = mx + b and the points (5, 12.7) we get this equation for the y-intercept (b):

12.7 = 2.54(5) + b

which tells us that b = 0.  

Therefore, the desired relationship is   y = 2.54   and this is a proportional relationship (no y-offset).

8 0
3 years ago
Read 2 more answers
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