Answer:
c
Step-by-step explanation:
Answer: The distance across a rectangular field is longer distance.
So, Perimeter of rectangle would be 120 yards.
Diagonal of square would be 56.56 yards.
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
For this case what we can do is the following rule of three:
2/3 of a box ------> 1/2 minutes
x of a box ---------> 1 minute
Clearing x we have:
x = (1 / (1/2)) * (2/3)
Rewriting:
x = 2 * (2/3)
x = 4/3
Answer:
the number of boxes per minute that the machine packs is:
x = 4/3
Given table is given below
The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?
lake A and lake B
lake B and lake C
lake A and lake E
lake C and lake D
Answer : lake A and lake E
Lake
---> Crocodiles
---> Alligators
---> Ratio
A
---> 4
----> 5
B
---> 21
---> 35
C
---> 3
---> 9
D
---> 6
---> 16
E
---> 24
---> 30
The ratio of A is 4: 5
B is 21: 35 = 3 : 5
C is 3 : 9 = 1 : 3
D is 6 : 16 = 3 : 8
E is 24: 30 = 4 : 5
Lake A and E has the same ratio 4: 5
