Answer: B
Step-by-step explanation:
(opp/hyp)=sin60
opp=2sqr(3)x(sqr(3)/2)
opp=3
Let z = sin(x).
.. z^2 -2z = 2
.. z^2 -2z +1 = 3
.. (z -1)² = 3
.. z -1 = ±√3
.. z = 1 -√3 . . . . . the positive solution is extraneous
sin(x) = 1 -√3
Answer:
(c) Minimum value is -16.
Step-by-step explanation:
This will have a minimum value because the leading coefficient is positive.
We can find the minimum value by converting the function to vertex form:
f(x) = x^2 + 4x - 12
f(x) = (x + 2)^2 - 4 - 12
f(x) = (x + 2)^2 - 16.
The minimum value is -16.
So when you draw the graph the turning point is at (-2, -16).
Answer:
The second graph
Step-by-step explanation:
If the population halves every 10 years, the population at year 10 would be half as mush as year 0, and year 20 would have half as much as year 20, and so on, graph 2 is the only one with a decreasing slope.