The six frames show a shapes different positions. Select the description that describes how the shape moves to get from its posi
tion in the frame to the next.
1 answer:
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Answer:
Domain of f(x): All real numbers
Range of f(x): ---> [0, ∞)
The graph is over the interval (0, ∞)
Step-by-step explanation:
The function absolute value of x that is written: f(x) = | x | assigns only positive values to f(x) at any value of x.
For example, if for f(x) = | x | we make
f(-23) = | -23 | then the absolute value of x "transforms" the number -23 to +23.
Then f(-23) = | -23 | = 23
This means that f(x) will be positive for any value of x.
Therefore, we can conclude that:
Domain of f(x): All real numbers
Range of f(x): ---> [0, ∞)
The graph is over the interval (0, ∞)
Answer: a) 0.25, b) 0.78, c) 0.71
Step-by-step explanation:
Since we have given that
Number of employees in marketing = 4
Number of employees in management = 7
We need to hire committee of 3 people.
a) Find the probability that the committee has exactly 2 employees from marketing.
So, Probability becomes
b) Find the probability that the committee has at least one employee from marketing.
c) Find the probability that the committee has at most one employee from management.
Hence, a) 0.25, b) 0.78, c) 0.71
Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is: