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3 years ago

Functions f(x) and g(x) are shown below:

Mathematics

1 answer:

kondor19780726 [428]3 years ago

4 0

We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2

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Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

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In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that $A(0) = 109$

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This is A(4). So

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Rounding to the nearest whole number, 96 people.

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