Simplify the following expression. 6 + (-11) A. -17 B.-5 C. 5 D.17
1 answer:
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Answer:
Step-by-step explanation:
We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).
Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.
The value of x can be calculated using:
Using this function in a calculator (you may find it as: ), we have that:
So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:
So the values of x are:
The graph of the function has the point of inflection at the origin. From the diagram you can the that the graph
has the point of inflection at point (-2,-3). So you should translate the graph of the function
2 units to the left and 3 units down. This translation is acting on function
in the following way:
- translation 2 units to the left -
- translation 3 units down -
Then h=-2 and k=-3.
Answer: correct choice is A.