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<h3>Answer: Choice B</h3><h3>{4,5,6,7}</h3>
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Explanation:
Set A = {4,5,6,7,8,9} since these values are larger than 3 and smaller than 10. We only consider whole numbers in this range.
Set B = {1,2,3,4,5,6,7} represents positive whole numbers less than 8
To find the set we need to see which values are in both A and B at the same time. Those values are {4,5,6,7}
So
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side note: the notation means "A intersect B", so we're looking at where the two sets intersect or overlap (ie what they have in common).
Answer:
B
Step-by-step explanation:
The red graph is a horizontal translation of 5 units left, followed by a reflection in the x- axis, of the black graph.
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift to the left of a units
• If a < 0 then shift to the right of a units
Here the graph is shifted 5 units to the left, thus
f(x) → f(x + 5)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note the y- coordinate of the image is the negative of the original
Note that = - y, thus
The equation of the red graph is
= f(x + 5) → B
Option C: –10, –7.5, –5, –2.5, … is the sequence.
Explanation:
The given recursive formula is for
We need to determine the sequence.
The sequence can be determined by substituting n = 1, 2, 3, 4,....
And
<u>2nd term of the sequence:</u>
Substituting n = 1 in the formula , we get,
Simplifying, we have,
Thus, the 2nd term of the sequence is -7.5
<u>3rd term of the sequence:</u>
Substituting n = 2 in the formula , we get,
Simplifying, we have,
Thus, the 3rd term of the sequence is -5
<u>4th term of the sequence:</u>
Substituting n = 3 in the formula , we get,
Simplifying, we have,
Thus, the 4th term of the sequence is -2.5
Therefore, the sequence is –10, –7.5, –5, –2.5, …
Hence, Option C is the correct answer.