Answer:
The inverse function of h(x) = 3/2*(X-11) is: g(x)= (2/3*X) +11
Step-by-step explanation:
h(x) = Y= 3/2*(X-11)
To find the inverse function, the first step is to exchange the position of the variables with each other. So;
X= 3/2*(Y-11)
Now we need to isolate the variable Y from this equation. The final result will be te inverse function.
X=3/2*(Y-11)
2*X=3*(Y-11)
2/3*X=Y-11
2/3*X +11 = Y
Y= (2/3*X) + 11 (Inverse function)
This is one pathway to prove the identity.
Part 1
Part 2
Part 3
As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.
We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity 
in the second to last step. I broke the steps into three parts to hopefully make it more manageable.
<h3>
Answer: (x-10)^2 + (y-1)^2 = 25</h3>
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Explanation:
The general template of a circle is
(x-h)^2 + (y-k)^2 = r^2
Where,
- (h,k) is the center
- r is the radius
We are given (10,1) as the center so (h,k) = (10,1) meaning that h = 10 and k = 1 pair up together.
r = 5 is the given radius.
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Plug the values h = 10, k = 1, r = 5 into the equation to get:
(x-h)^2 + (y-k)^2 = r^2
(x-10)^2 + (y-1)^2 = 5^2
(x-10)^2 + (y-1)^2 = 25
Answer:
none of the above
Step-by-step explanation:
probability shouldn't be equal to or greater than 1
Answer:
h = 4/5
Step-by-step explanation:
h + (6/5) = 2
h = 2 - (6/5)
h = (10/5) - (6/5)
h = (10-6)/5
h = 4/5
Check:
(4/5) + (6/5) = 2
10/5 = 2
