Hi can you help? It’s kinda easy I’m just confused
1 answer:
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Answer:
The function is not one-to-one
Step-by-step explanation:
This is a quadratic function.
A function is one-to-one
The function given is not one-to-one because there are values of the input , which leads to the same output.
For example.
Answer:
Two possible combinations are;
1) 200 single and 30 couples
2) 150 single and 57 couples
Step-by-step explanation:
The given parameter in the question are;
The cost of ticket per person = $5
The cost of tickets per couple = $8
The minimum worth of tickets to be sold = $1,200
The maximum number of students that can fit in the gym = 500
Let 'x' represent the number of single persons that attend the dance and let 'y' represent the number of couple that attend, we have;
5·x + 8·y ≥ 1,200
x + y ≤ 500
Making 'y' the subject of both equations gives;
y ≥ 150 - 5·x/8
y ≤ 500 - x
From the graph of the inequalities created with Microsoft Excel, we have;
When x = 200, and y = 30, we get;
5 × 200 + 8 × 30 = 1240 > 1200
200 + 30 × 2 = 460 < 500
We also have;
x = 150, and y = 57, we get
Equating both values of 'y', we get;
5 × 150 + 8 × 57 = 1206 > 1200
150 + 57 × 2 = 264 < 500
Therefore, from the acceptable region in the graph, we have the following two possible combinations
1) 200 single and 30 couples
2) 150 single and 57 couples
Answer:
The vertices of A'B'C are A'(-1,2), B'(-4,6) and C'(-4,2).
Step-by-step explanation:
Triangle ABC has vertices at A(1, 2) B(4, 6) and C(4, 2).
If a figure reflected over x-axis, then
Therefore the vertices of triangle ABC after reflection over x-axis are:
Rotation 180 degrees about the origin is defined as
Therefore the vertices of triangle ABC after reflection over x-axis followed by rotated 180 degrees about the origin are:
Therefore the vertices of A'B'C are A'(-1,2), B'(-4,6) and C'(-4,2).
