Solving for variables is easy as all we must do is isolate the variable and simplify. In this case, to isolate the variable, we simply need to divide "n" by 10 (because the "n" is being multiplied by 10).
10n=40
/10 /10
n=4
Using the math above, we can see that n=4.
Answer:
Step-by-step explanation:
f(x) has the smallest minimum. The minimum value of f(x) is -3
The largest sin(x) can get is 1.
This applies to sin(2x-pi) as well. So f(x) is as small as -5*(1)+2 = -5+2 = -3.
You can see this each time the red curve bottoms out at y = -3.
The smallest that g(x) can get is y = -2 as shown at the vertex (3,-2)
The smallest that h(x) can get is y = 3 as shown by the point (1,3)
See the attachment for a visual comparison of the three functions.
Answer:
x={0, 2pi/3, pi, 4pi/3}
Step-by-step explanation:
First, move sin x by adding sin x to both sides. sin 2x+ sin x = 0. Next using the double angle identity, sin 2x=2(sin x)(cos x), so 2(sin x)(cos x)+sinx=0. Factoring, sin x(2cos x +1)=0. Solving, sin x=0 and 2cos x +1 = 0, or cos x = -1/2.
sin x = 0. Using the unit circle, sin x=0 when x=0 and x=pi.
cosx=-1/2. Using the unit circle, cos x= -1/2 when x=2pi/3 and x=4pi/3.
For a rectangle, A = LW.
A = (3x + 2)(x - 4)
A = 3x^2 - 12x + 2x - 8
A = 3x^2 -10x - 8