y = x + 4/x
replace x with -x. Do you get back the original equation after simplifying. if you do, the function is even.
replace y with -y AND x with -x. Do you get back the original equation after simplifying. If you do, the function is odd.
A function can be either even or odd but not both. Or it can be neither one.
Let's first replace x with -x
y = -x + 4/-x = -x - 4/x = -(x + 4/x)
we see that this function is not the same because the original function has been multiplied by -1
. Let's replace y with -y and x with -x
-y = -x + 4/-x
-y = -x - 4/x
-y = -(x + 4/x)
y = x + 4/x
This is the original equation so the function is odd.
Answer:



Step-by-step explanation:
The given equation is

If we isolate
, we can find the constant

So, the constant is
.
Another proportions that have the same constant as the given equation are



Answer:
Option A) reject null hypothesis if z is greater than 1.645
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 250
p = 30% = 0.3
Alpha, α = 0.05
Number of women belonging to union , x = 75
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Rejection Region:

So, the rejection region will be

That is we will reject the null hypothesis if the calculated z-statistic is greater than 1.645
Option A) reject null hypothesis if z is greater than 1.645
Answers are in bold:
-1=3x-2
add 2 to both sides
-1+2=3x-2+2
1=3x
divide both sides by 3
1÷3=3x÷3
1/3=x
-3x=9
divide both sides by -3
-3x÷-3=9÷-3
x=-3
-10=-5x
divide both sides by -5
-10÷-5=-5x÷-5
2=x
I hope this is good enough:
Answer:
1/8
Step-by-step explanation: