Paul is comparing two high-speed Internet service providers (ISPs) for his business. The graph represents the cost of each ISP a
2 answers:
Answer:
The correct option is 4. The total costs will be the same at 12 months.
Step-by-step explanation:
The given equations represents the cost of each ISP as a function of t, the duration in months of a service contract.
ISP A:
ISP B:
Equate both the functions to find the time at which the total costs to be the same.
Subtract 10t from both the sides.
Divide both sides by 15.
The total costs will be the same at 12 months. Therefore the correct option is 4.
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The translation of the given figure will have vertices, <u>A'(1,2),</u> <u>B'(3,2),</u> <u>C'(3,-5),</u> and <u>D(-1,-3)</u> from the initial vertices A(3,9), B(5,9), C(5,2), and D(1,4). The figure is attached.
In the question, we are asked to translate the given figure 2 units left and 7 units down.
In the translation, the left-right movement implies the change in the x-coordinate, whereas the up-down movement implies the change in the y-coordinate.
For any point P(x, y) the given rule says that after translation,
P(x, y) becomes P'(x - 2, y - 7).
The coordinates of the given figure are:
A(3,9), B(5,9), C(5,2), and D(1,4).
After translation, these points can be shown as:
A(3,9) becomes A'(1,2).
B(5,9) becomes B'(3,2).
C(5,2) becomes C'(3,-5).
D(1,4) becomes D'(-1,-3).
Thus, the translation of the given figure will have vertices, <u>A'(1,2),</u> <u>B'(3,2),</u> <u>C'(3,-5),</u> and <u>D(-1,-3)</u> from the initial vertices A(3,9), B(5,9), C(5,2), and D(1,4). The figure is attached.
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