2x-3y=6
-3y=2x+6
y=-2/3x-2
So, the slope is -2/3
y=-2/3x+b
-3=-2/3(9)+b
-3=-6+b
-3/(-6)=b
1/2=b
So, the equation is y=-2/3x+1/2
2/5 is equal to 0.4
1/3 is equal to 0.33
5/6 is equal to 0.83
4/8 is equal to 0.5
5/12 is equal to 0.42
1/6 is equal to 0.17
7/100 is equal to 0.07
9/10 is equal to 0.9
4/5 is equal to 0.8
so from least to greatest: 7/100, 1/6, 1/3, 2/5, 5/12, 4/8, 4/5, 5/6, 9/10
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Answer:
- cos(2Ф) = cos²(Ф) -sin²(Ф)
- cos(2Ф) = 1 -2sin²(Ф)
- cos(2Ф) = 2cos²(Ф) -1
Step-by-step explanation:
The angle sum formula for cosine is ...
cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
When we have α = β = Ф, this becomes ...
cos(Ф+Ф) = cos(Ф)cos(Ф) -sin(Ф)sin(Ф)
cos(2Ф) = cos²(Ф) -sin²(Ф)
The "Pythagorean identity" can be used to write this in terms of sine or cosine.
cos(2Ф) = (1 -sin²(Ф)) -sin²(Ф)
cos(2Ф) = 1 -2sin²(Ф)
or
cos(2Ф) = cos²(Ф) -(1 -cos²(Ф))
cos(2Ф) = 2cos²(Ф) -1
The mode is 85, because it is the most occurring in the data set.
hope that helps :)
F(x) = x² - 13x + 30
f(x) = x² - 3x - 10x + 30 = 0
f(x) = x(x - 3) -10(x - 3) = 0
f(x) = (x-3)(x-10) = 0
f(x) = 3 OR 10
In short, Your Answer would be Option B & D
Hope this helps!
