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Pie
2 years ago
7

Complete each sentence with minimum or maximum and the corresponding numeric values.

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
5 0

Answer:

First problem:  max when x = 4

Second problem:  min when x = 1

Step-by-step explanation:

The graph of f(x) = –|x – 4| – 5 is a translation of that of g(x) = -|x|.  The vertex of the latter is (0, 0).  First this must be translated 4 units to the right and then the resulting graph 5 units downward.  The vertex of this translation is (4, -5).  Since this graph opens downward, this (4, -5) is the maximum function value, that is, when x = 4.

The graph of f(x) = x2 – 2x +­ 1, or (better yet) f(x) = x^2 – 2x +­ 1, or

f(x) = (x - 1)^2 + 0, is that of a parabola that opens upward and has its minimum at x = 1, or (1, 0).

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Answer:

2\frac{1}{2}x - 32

Step-by-step explanation:

On Friday, there were x students at the baseball game.

On Monday, there were 1/2 as many students, that is: x/2 students

On Wednesday, there were 32 fewer students at the game as there were on Friday, that is x - 32.

Tickets are sold for each student. Therefore, the number of tickets sold on all three days will be the same as the number of students that were at the games on the three days.

The number of students present on the three days is:

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