R = speed in still water
r + c = speed with current
r - c = speed against current
3.5(r + c) = 70
r + c = 20
c = 20 - r
4(r + c) = distance from pier to pier
5(r - c) = distance from pier to pier
4(r + c) = 5(r - c)
4(r + 20 - r) = 5(r - 20 + r)
80 = 10r - 100
180 = 10r
18 = r
The speed in still water is 18 km/hour
Answer:The first method, by substituting 5 into the expression (-2)x + 6 gives the coreect answer of -4
Step-by-step explanation:
Ist method
Substituting x = 5 into the expression (-2)x + 6, we have
(-2) 5 + 6,
=-10 + 6
=-4
2nd method
Substitute x = -1 into the expression (-2)x + 6,we have
(-2)(-1) + 6
2 +6=10
The first method, by substituting 5 into the expression (-2)x + 6 gives the coreect answer of -4
The equation of the asymptote is 
Explanation:
The given equation is 
We need to determine the horizontal asymptote of the equation.
The given equation is of the exponential function of the form
and has a horizontal asymptote 
Hence, from the above equation, the value of k is 1.
Therefore, we have,

Thus, the horizontal asymptote is 
Therefore, the asymptote of the equation is 
Answer:
360
Step-by-step explanation:
T = K(1/H)
Whereas T = seconds
H = cooker setting
K = the constant of proportionality
T = (240/6)/(1/9) = (240/6)x9 = 360