Hello,
y=5+3*cos (2(x-π/3))
The function is periodic with periode=2π.
-1<=cos (2(x-π/3))<=1
==>-1*3<=3*cos (2(x-π/3))<=3*1
==>5-3<=5+3cos(2(x-π/3))<=5+3
==>2<= y<=8
Answer:
The statement provided is True.
Step-by-step explanation:
The exponential function representing growth is given as follows:

Here,
<em>y</em> = final value
<em>y</em>₀ = initial value
<em>k</em> = growth rate
<em>t</em> = time passed
As the function
is increasing, then the exponential function representing growth is also increasing.
Thus, the statement provided is True.
Answer:
the answer is Letter B because I had this problem on a test before and it was B
Step-by-step explanation:
Answer:

Step-by-step explanation:
When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).
y/x = rise/run = 1/4
The equation of the line is ...
y/x = 1/4
Answer:
10 Seconds
Step-by-step explanation:
Speed of Elene = 3m/s
Speed of Abbi = 2m/s
Let the time be t seconds taken by Elene to catch abbi.
Distance for any speed S and time is calculated by formula given below
Distance = speed * time
- distance covered by Elene in time t = 3m/s * t = 3t m -->equation A
- distance covered by Abbi in time t = 2m/s* t = 2t m --> equation B
Since it is given that Elene has given abbi 10 m head start it means that
Elene has to run extra 10 meters than Abbi to catch abbi.
Thus we can say that
distance run by Elene = 10 m + distance run by Abbi
Substituting that value distance run by Elene from equation A
and distance run by Abbi from equation B
we have
3t = 2t +10
=>3t - 2t = 10
=> t = 10
Therefore it will take 10 second for elene to catch abbi.