The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.
<h3>How to determine the vertex for each function is a minimum or a maximum? </h3>
Given:
and
The generalized equation of a parabola in the vertex form exists
Vertex of the function f(x) exists (1, 5).
Vertex of the function g(x) exists (-2, -3).
Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.
The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.
To learn more about the vertex of the function refer to:
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Answer:
2156/9
Explanation:
The question states all the necessary values that we need for the ratio. The company created 2156 board games and 9 card games.
However, what we need to pay attention to here is the order of the ratio.
Because the question is “What is the ratio of the number of board games to the number of card games”, we know that we need to write the ratio so the number of board games is first.
Additionally, ratios can also be written like fractions. The first number of the ratio would be the top number/numerator in fraction form.
Therefore, the ratio of the number of board games to the number of card games is 2156:9
I hope this helps!
Let b and h represent the length of the side of the base and the slant height, respectively. Then the total surface area is
A = b² + 4*(1/2)bh
A = b² +2bh
Substituting the given numbers, you have
336 = 12² +2·12·h
192 = 24h . . . . . . . . . subtract 12² = 144
8 = h . . . . . . . . . . . . . divide by 24
The slant height is 8 inches.
