Answer:
y = x - 4
Step-by-step explanation:
equation of a line can be expressed as
(x - x1)/(x2 - x1) = (y - y1)/(y2 - y1)
(x - 5)/(10 - 5) = (y - 2)/(-3 - 2)
cross multiplying,
-5(x - 5) = 5(y - 2)
clearing the parentheses
-5x + 10 = 5y - 10
hence,
5y = 5x - 20
y = x - 4
Answer:
![g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}](https://tex.z-dn.net/?f=g%5E%7B-1%7D%28x%29%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B15%7D%7B2%7D)
Step-by-step explanation:
Given function,
![g(x) = -\frac{2}{3}x-5](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx-5)
Step 1 : Replace g(x) by y:
![y = -\frac{2}{3}x-5](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx-5)
Step 2 : Swap x and y:
![x = -\frac{2}{3}y-5](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dy-5)
Step 3 : Solve the equation for y ( isolate y in the left side ):
![x +\frac{2}{3}y=-5](https://tex.z-dn.net/?f=x%20%2B%5Cfrac%7B2%7D%7B3%7Dy%3D-5)
![\frac{2}{3}y=-5-x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dy%3D-5-x)
![y=\frac{3}{2}(-5-x)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%28-5-x%29)
![y=-\frac{15}{2}-\frac{3}{2}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B15%7D%7B2%7D-%5Cfrac%7B3%7D%7B2%7Dx)
![y=-\frac{3}{2}x-\frac{15}{2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B15%7D%7B2%7D)
Step 4: Replace y by
:
![g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}](https://tex.z-dn.net/?f=g%5E%7B-1%7D%28x%29%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B15%7D%7B2%7D)
Hence, the inverse of the function g(x) is
.
Answer:
=> p = 6x + 2
=> x = (p - 2)/6...ans
Step-by-step explanation:
<h2>HOPE IT HELPS U!!!!</h2>
The answer choice which correctly models the range of pH values of bleach is; 11< x < 14.
<h3>What is.the range of values for the pH of bleach?</h3>
According to the task content; Bleach is said to have a pH of less than 14 and greater than 11.
Hence; pH < 14. and pH > 11.
Therefore, when written as a compound inequality; we have;
11< pH < 14.
Read more on compound inequality;
brainly.com/question/1485854
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Six i think cause it take each wolf 6 minutes to catch a lamb so it should still be six