Step-by-step explanation:
remember, tan = sin/cos.
of course, one solution is x = 0. sin(0) = 0, tan(0)=0).
for the general solution we look at x <> 0.
3×sin(x) = 2×tan(x) = 2×sin(x)/cos(x)
3 = 2/cos(x)
3×cos(x) = 2
cos(x) = 2/3
x = 48.1896851...°
I can’t see the picture but I’m assuming it’s like this, for example: 5 10 15 20... find the next term
so you see it is going up by 5 so the next term would be 25
20+5= 25
hope this helps!
Answer:
6 + 8x
Step-by-step explanation:
So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.
Firstly, the equation to find the axis of symmetry is 
, with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:
Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:
Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).
I think Mr. Han is around the 60 or 70 age.
I am really sorry that I couldn't answer this problem. Try starting with 21 and multiply that by 3. To check if you can do it, add 43 to the number you multiply 3 with. Again, i am really sorry that i only wrote a hint. Good luck finding the answer!
