Answer:
#1) A. 4; #2) A. periodic; about 6; #3) B. not periodic; #4) C. 2; 0.5; #5) A. 0.05 seconds; 4.5.
Explanation:
#1) The period of a function is essentially the amount of time it takes for the function to start all over and repeat itself. In this function, at t = 0 the graph is at 1; it curves up, back down and begins again at y=1 when t=4. This means the period goes from t=0 to t=4, so it is 4.
#2) Looking at the left side of the graph, specifically the peak at (-5, 2), we see the same peak at about (1, 2). Following the graph after that we can see that it does indeed repeat itself; this means the period goes from t= - 5 to t = 1, so it is 6.
#3) This function never repeats, so it is not periodic.
#4) This function repeats when it reaches t=2, so 2 is the period. The amplitude is the distance from the center line (of the graph, not the x-axis) to the peak. The center line would be located at about y=0.5; the peaks are at y=-1. This means the amplitude is 0.5.
#5) This function repeats every 0.05 seconds. In this case, the center line is the x-axis; the distance from it to any peak is 4.5, so 4.5 is the amplitude.
1/8 + 1/4
= 1*3/8*3 + 1*6/4*6
= 3/24 + 6/24
= 9/24
= 3/8
Sin is equal to the side opposite the angle that you are conducting the functions on over the hypotenuse which is the longest side in the triangle. Cos is adjacent over hypotenuse. And tan is opposite over adjacent, which means tan is sin/cos. this can be proved with some basic algebra or somethin
2000km/100km=20×6 liters of gas=120 liters× $1.20= $144/2=$72
They should each play $72.
Answer:
slope = 2.5 and the y intercept is 3
Step-by-step explanation:
To find the slope we can use the formula
m = (y2-y1)/(x2-x1)
I will use the point (2,8) (6,18) We can pick any 2 point we want.
= (18-8)/(6-2)
= (10/4)
= 2.5
To find the y intercept we need to find the equation of the line.
We will use the point slope form
y-y1= m(x-x1)
y-8 = 2.5(x-2)
Distribute the 2.5
y-8 = 2.5x-5
Add 8 to each side
y-8+8 = 2.5x-5+8
y = 2.5x+3
This equation is in slope intercept form y = mx+b
where the slope is 2.5 and the y intercept is 3
