Answer:
Step-by-step explanation:
I did it on paper
Answer:
Time machine one = 3.56
Time machine two = 4.56
Step-by-step explanation:
Let machine 2 do the job in x hours
Let machine 1 do the job in x - 1 hours.
The general formula for this problem is
Time = A*B/(A + B)
Givens
Time = 2 hours
B = x hours alone
A = x - 1 hours alone.
#################
x *( x - 1)
======= = 2
(x + x - 1)
(x^2 - x)/(2x - 1) = 2
x^2 - x = 2(2x - 1)
x^2 - x = 4x - 2
x^2 - 5x + 2 = 0
a = 1
b = - 5
c = 2
This gives 2 roots
x = 4.56
x = 0.43
The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.
Time for machine 2 is 4.56
The time for machine 1 is 3.56
Check
(A * B)/(A + B) = 2
A = 4.56
B = 3.56
Time = 4.56*3.56/(4.56 + 3.56)
Time = 16.2336/(8.12)
Time = 1.9992
The rounding error in the check comes from the rounding error in the times.
Graph 1:
(-infinity, 2) U [3, infinity)
Graph 2:
{-8, -2} U (3, 8]
Graph 3:
(-infinity, 3) U (3, infinity)
Graph 4:
(-8, -2) or {3}
Graph 5:
(-8, -2) U (-2, infinity)
Hope this helps!
Answer:
The percentage is 45 percent.
Step-by-step explanation:
Answer:
k = 4
Step-by-step explanation:
The graph represents y and x in direct proportion with equation
y = kx ← k is the constant of proportionality
To find k use the point (1, 4), that is x = 1, y = 4
k = 
= 
= 4
