Answer:
B and E
Step-by-step explanation:
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:
0.345
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 5, r = 2, p = 0.41, and q = 0.59.
P = ₅C₂ (0.41)² (0.59)⁵⁻²
P = 0.345
Answer:
50 mph
Step-by-step explanation:
80 mph x 4 = 320 miles. so the first car went 320 miles
520 miles apart- 320 = 200 I subtracted the 320 miles so i can figure out how far the other car went.
200 / 4 hours = 50 mph
Answer:
So, the present accumulated value is, $ 49557.69
Step-by-step explanation:
According to the question, payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. So, present accumulated value, =
$ 
= $ 
$ 49557.69
So, the present accumulated value is, $ 49557.69
