You just need to put (x+1) wherever you see x at.
y=(x+1)^3 + 2(x+1)^2 -5(x+1) -6
y= x^3 +1 +2x^2+2-5x-5-6
y=x^3+2x^2-5x -10
Answer:
Step-by-step explanation:
Given the scale factor 1 : 4 , then
the area factor = 1² : 4² = 1 : 16
That is area of polygon H is area of polygon G
It could mean that all the sides are the same length
Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
