Step-by-step explanation:
In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

whereas, 
or x = 
Now, on interchanging the variable we will get the equation as follows.


y = 
Answer: -1.33 .
Step-by-step explanation:
Formula to find the Z-score :

Given: Mean = 191 and Standard deviation = 21
Then , the z-score corresponding to the expected value of 163 will be :

Hence, the z score corresponding to selling 163 inhalers is -1.33 .
Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
Answer:
Yes.
Step-by-step explanation:
You can find it out by factoring but ill do it easier way.
(x + 1 ) = 0 put the first and second equation to 0
x = -1
x³ + 2x² - 5x - 6 = 0 Now plug in the x in the equation
(-1)³ + 2(-1)² - 5(-1) - 6 = 0
0 = 0
so (x + 1) is a factor.
Answer
(C) 
Explanation:
Congruence of these two angles directly implies p||q.