So if you remember what the normal y = sin(x) function looks like (a wave), y = 2 sin(4x) is just changed a little.
The standard format for sine/cosine function
<span>y = a sin<span>(bx− c)</span> + <span>d
a = amplitude, distance from center of the wave to the highest point. This function a = 2 so the height of the sine wave reaches 2 instead of 1.
"c" and "d" shift the graph left/right and up/down respectively. These equal zero so the sine wave is not shifted.
The range (y-values) is then just the amplitude -2 ≤ y ≤ 2
The domain (x-value) is all real numbers because the wave just keeps going on to infinity in both directions.
2π / |b| = period, distance per wave
this equation b = 4
period is then π/2
this is the distance before a wave repeats.
Graph
x | y
-π/8 -2
0 0
π/8 2
3π/8 -2
5π/8 2
see the pattern? I'm using the amplitude or peaks and bottoms of the wave y = 2 and -2 then using the x-distance between like points is the period so you add π/2
(π/8 , 2)
+ π/2
(5π/8 , 2)
Same for the minumums of the wave (y = -2)
(-π/8 , -2)
+ π/2
(3π/8 , -2)
Hope this helps, otherwise there are youtube videos you can watch or try an online graphing calculator like Desmos.com
</span></span><span />
Answer:
B ) 28 cause it’s u add 21 with 7
Number one. 897 2. Eight hundred eighty four and fourth seven hundredths. Number three. 17.818. 4. Two thousand forty four and four tenths. Number five. 22.766 6. Twelve thousand five hundred and twelve Number seven. 23.62
4/15 = 50/x...4 ft to 15 min = 50 ft to x minutes
this is a proportion, so we cross multiply
(4)(x) = (15)(50)
4x = 750
x = 750/4
x = 187.5 minutes or 3 hrs and 7.5 minutes
or u can do it this way..
15/4 = 3.75 ft per minute......50 * 3.75 = 187.5 minutes
