<span>Let time taken by Luke to cover the distance = x hours
Speed of Luke = 6 miles per hour
Therefore, Distance covered by Luke = 6x ------(1)
Speed of Micah = 4 miles per hour
Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started.
Therefore time taken by Micah to cover the distance = x+1/2
Distance covered by Micah = 4(x + 1/2) -------(2)
Equating (1) and (2)
6x = 4(x+1/2)
6x = 4x +2
2x = 2
x= 1
Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
Answer:
hope it's helpful.........
Answer:
f^-1(x) = ( x + 6 )/4
Step-by-step explanation:
f(x) is the same as...y = 4x + 6....and then try to make x the subject of formula
y + 6 = 4x
x = (y + 6)/4....then when writing f^-1(x)...replace y with x
f^-1(x) = ( x + 6 )/4
Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Second: 10
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Third: 5
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Fourth: 2
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
On a general terms:
Let the number be x.
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Notice that for every input x, the result is 2x
Well there are 52.177457 Weeks in a year so 52.177457 x 8 = 417.419656
so the answer is 417.419656
