You need to put a picture of the graph in the question and I can answer it.
Answer:
The direction that the paraboa y=-4x^2-8x-13 open is
Down
Answer:
-1
Step-by-step explanation:
-2(x-7)=16
-2x +14=16 You distribute
-14 -14
-2x = 2
-2 -2 you divide
and get -1 as your answer.
Hope my answer has helped you!
<span><span><span>22x</span>−11 over x to the second power - x - 30.</span></span>
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
