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Murrr4er [49]
3 years ago
10

Consider the function g defined by g(x) = x(10 – Ax), A > 0. voer g in Without doing any iterations, determine the non-zero f

ixed point(s) of g in terms 7 of A.
Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

The only non-zero fixed point is:  x = 9/A.

The Step-by-step explanation:

A fixed point of a function is a points that is mapped to itself by the function; g(x) = x. Therefore, in order to find the fixed point of the given function we need to solve the following equation:

g(x) = x

x(10 - Ax) = x

10x - Ax² = x

10x - x -Ax² = 0

9x - Ax² = 0

Ax² - 9x = 0

The solutions of this second order equation are:

x = 0 and x = 9/A.

Since we are only asked for the non-zero fixed points, the solution is: 9/A.

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2 years ago
3-1/3n&lt; 6;n&gt;-9 What is n???
r-ruslan [8.4K]

Answer:

i don't understand your question, but i'll try to the best of my ability.

the answer to that is:

-8.33333333333

Step-by-step explanation:

let me break this down into a way you might understand.

1: 3-1=2

2: 2 divided by 3=0.66666666666.

3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.

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6 0
3 years ago
Find the area of the missing piece of the polygon and explain your process for finding it:
rusak2 [61]

Answer:

The area of the polygon is 42cm^{2}.

Step-by-step explanation:

A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.

From the given figure, the area of the shaded polygon can be calculated by;

Area of polygon = Area of square - Sum of areas given

Sum of areas given = 24 + 30 + 48

                                = 102cm^{2}

The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:

Area of square = length × width

                        = 12 × 12

                       = 144cm^{2}

Area of polygon = 144 - 102

                           = 42cm^{2}

The area of the polygon is 42cm^{2}.

6 0
3 years ago
McDonalds sells quarter-pound cheeseburgers for .99 cents last saturday.they sold 310 of these cheeseburgers. how many pounds of
Anvisha [2.4K]
The first thing you should do is calculate how many pounds of cheese a hamburger has
 1 hamburger = 1/4 pound of cheese.
 Then, you can make a rule of three to know how many pounds of cheese were sold:
 1 ---> 1/4
 310 ---> x
 Clearing x we have:
 x = ((310) / (1)) * (1/4) = 77.5
 Answer
 they sell last saturday 77.5 pounds of cheese
4 0
3 years ago
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