Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
(x - 6) * 2
I'm assuming this is the expression that you typed out, if it isn't, please let me know in the comments :)
Use the distributive property:
= 2(x) - 2(6)
Multiply and simplify
= 2x - 12
This should be the expression that is equivalent to the original. Let me know if you need any clarifications, thanks!
Answer: 2 + 1 = 3 2 x 1 =2
Step-by-step explanation: + 7 = 7
For the first one:
m is the slope, or how much the line goes up compared to goes right. In this case, the line goes up 40 every time it goes right 10. We write this as a fraction so 40/10, which simplifies to 4. Therefore the equation would be y = 4x.
Answer: Option a.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option a.
