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aleksley [76]
3 years ago
10

Let f(x)=6−1x+15x^2. Calculate the following values:

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

Step-by-step explanation:

To find f(a), replace x with a:  f(a)=6−1a+15a^2

To find f(a+h), replace x with (a+h):  f(a+h) = 6 -(a + h) + 15(a+h)^2

To find f(a+h)−f(a), expand f(a+h) as given above, and then subtract f(a):

f(a+h)−f(a) = 6 -a - h + 15(a^2 + 2ah + h^2)   -   [6 - a + 15a^2]

                   6 - a - h + 15a^2 + 30ah + 15h^2  -   [6 - a + 15a^2]

This simplifies to:   f(a+h)−f(a) = - h + 30ah + 15h^2  

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3 years ago
The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.
Fudgin [204]

Answer:

P(t) = 25,000*1.12^t

Step-by-step explanation:

The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

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Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.

Therefore, the function P(t) that models the population in Madison t years from now is:

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8 0
3 years ago
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According to the Guinness Book of World Records, a woman from Russia, Mrs. Vassilyeva, had 69 children between the years 1725 to
Maurinko [17]

Answer:

36.36% probability that she gave birth to quadruplets

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

Desired outcomes:

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She has 4 sets of quadruplets.

So D = 4

Total outcomes:

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3 years ago
What is the image of F for a dilation with center (0, 0) and a scale factor of 10?
kogti [31]
F = (-3,3)
scale factor of 10

-3 * 10 = -30
3 * 10 = 30

answer : (-30,30)
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