Let n be a number of friends at the perty. If <span>dinner costs $30 per person, then it cost $30n for all friends.
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Robert has booked a banquet hall which costs <span>$200, then his total expenses are $200+30n.
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If the final bill is p, then p=<span>200+30n.
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Answer: p=<span>200+30n.</span>
The next three numbers in the pattern would be 768, -3072, 12,288.
<h3>What are the next three numbers?</h3>
Looking at the given sequence, it can be seen that the numbers increase by a multiple of 4.
-12 /3 = 4
48 / 12 = 4
192 / 48 = 4
The next three numbers would be:
192 x 4 = 768
768 x 4 = 3072
3072 x 4 = 12,288.
Examining the numbers, it can be seen that the positive and negative signs alternate. Thus, the numbers would be : 768, -3072, 12,288.
To learn more about mathematical sequence, please check: brainly.com/question/26578277
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Answer:
See below
Step-by-step explanation:
<h3>Part (a)</h3>
f(x - 1) is the translation of f(x) one unit right.
So the graph is exactly same shape but shifted right one unit.
<h3>Part (b)</h3>
f(x) has vertex (-1, 2)
<u>The function y = f(-x) + 2 will have the vertex changed as per rule:</u>
<u>So the new vertex is:</u>
- (-1, 2) → (-(-1), 2 + 2) = (1, 4)
I'm going to have to say C.
