Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
Answer:
195 pages
Step-by-step explanation:
Given:
195 = (35)5
This equation basically means that if you need to make 5 books and each book has 35 pages, you will need 195 pages to make all 5 books.
The question is asking you to identify the different parts of the equation and locate what information each number corresponds to.
So, 195 pages would be in 5 books.
Please mark as Brainliest! :)
Answer:
C
Step-by-step explanation:
Money lost. Keyword "lost". Ages, people, and height can't be negative. ( I guess people can be negative mentally but not physically)
81 is 45% of 180.
Simply multiply the percentage rate to the whole to get the part it is representing.
180 is the whole or 100%
45% is the percentage rate of the part.
180 x 45% = 81
81 is the value of the part
Assuming the part and the whole is given, to get the percentage rate, simply divide the part by the whole. and multiply its quotient by 100%.
81/180 = 0.45 x 100% = 45%
In the instance that the part and its corresponding percentage rate is given, find the whole. divide the part by its percentage rate.
81/45% or 81/0.45 = 180
