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.
Answer:
Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>
Step-by-step explanation:
Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.
Given:
4 coffees and 12 lattes cost $61.
12 coffees and 7 lattes cost $59.75.
∵ 1 coffee cost = 
∴ 4 coffees cost =
and 12 coffee cost = 
∵ 1 latte cost = 
∴ 12 lattes cost =
and 7 lattes cost = 
Now, as per question:

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.
Answer: x^9+3x^8+7x^7
Step-by-step explanation:
the ^ mean the exponent
Firstly figure out how much money you earn per one hour. This is 312$ divided by 20 is 16$/hour. Then write an equation which represents only hourly earnings: y = 16x. To answer the last question just enter the value for variable x = 15, and you will get money earned per one week.