You plug in the given value for x.
F(-4)=(-4)2-4
F(-4)=-8-4
F(-4)=-12
F(0)=(0)2-4
F(0)=0-4
F(0)=-4
F(3)=(3)2-4
F(3)=6-4
F(3)=2
Use the trig identity
2*sin(A)*cos(A) = sin(2*A)
to get
sin(A)*cos(A) = (1/2)*sin(2*A)
So to find the max of sin(A)*cos(A), we can find the max of (1/2)*sin(2*A)
It turns out that sin(x) maxes out at 1 where x can be any expression you want. In this case, x = 2*A.
So (1/2)*sin(2*A) maxes out at (1/2)*1 = 1/2 = 0.5
The greatest value of sin(A)*cos(A) is 1/2 = 0.5
Answer:
c
Step-by-step explanation:
Subtract 100 from both sides to get x by itself.
x = 163
(Another way of writing this is "263 - 100 = " like you would see in elementary school.)
Answer:
Step-by-step explanation:
In order to do this we need to isolate y by performing the inverse operations on the other values like so...
a) 10x + 5y = 20 ... subtract 10x on both sides
5y = 20 - 10x ... divide both sides by 5
y = 4 - 2x ... we can move the 2x to the right to make it into y = mx + b
y = -2x + 4
b) 3x - 2y = 10 + 4x ... subtract 3x on both sides
-2y = 10 + x ... divide both sides by -2
y = -5 - 0.5x ... move -0.5 to the left so it matches y = mx + b
y = -0.5x - 5
Answer:
10
Step-by-step explanation:
14=10 + 4
14-4 =10
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