I believe your answer is 25.12
Answer:
slope = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 1 + 3x ← is in slope- intercept form
with slope m = 3
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
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Answer:
For the first 2 for the second 3
Step-by-step explanation:
first would be 1x the second would be -1x
Answer: Total number of students will be 112.
Step-by-step explanation:
Since we have given that
The ratio of boys to girls in the top 10% of their class at Bixby High School was
So, Let the number of boys be 3x
Let the number of girls be 5x
According to question,
So, total number of students will be
Hence, Total number of students will be 112.
