Answer:
1125.67
Step-by-step explanation:
Y = total cost
40 = The one time fee
90 = the service charge per month
x = number of months
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
We start qt 72 degrees,
3 1/5 = 16/5 = 3.2 x 10 minutes = 32 degrees.
72 + 32 = 104 degrees.
Cool Time:
4 2/7 = 30/7 = 4.28571429 x 7 minutes = 30 degrees.
104 - 30 = 74
So we went from 72 to 74 degrees, that is a 2 degree difference.
This is what i got, i hope i understood the question correctly.v
