Of the 58 employees in a firm, 8 are considered support staff, and 7 of the employees have more than five years of experience. A
ll of the support staff
have less than five years of experience. Consider the two events, J and K.
• Event J: Employee is considered support staff.
• Event K: Employee has more than five years of experience.
How many outcomes are possible for the complement of the union of Events J and K?
have less than five years of experience. Consider the two events, J and K.
• Event J: Employee is considered support staff.
• Event K: Employee has more than five years of experience.
How many outcomes are possible for the complement of the union of Events J and K?
1 answer:
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Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
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The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)
