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Lady bird [3.3K]
2 years ago
13

The graph shows the total monthly sales as a function of the number of cake tiers. Which statement is true?

Mathematics
2 answers:
liraira [26]2 years ago
6 0

as tiers increases, sales increases

since there seems to be no assemtote (horizontal or vertical), As the number of cake tiers increases without bound, the total monthly sales increase without bound.



answer is 3rd option

kobusy [5.1K]2 years ago
5 0

Answer:

As the number of cake tiers increases without bound, the total monthly sales increase without bound.

Step-by-step explanation:

We can see from the graph, that as the independent variable (number of cake tiers) increases, the dependent variable (the monthly sales) increases.

There is no asymptote shown on the graph; this means that both variables increase without bound.

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f(x)=x^3+5x^2+4x-6
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Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
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which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
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Step-by-step explanation:

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2 years ago
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