If the decimal is 1.2727272727272727 and repeating like that, then the fraction is 14/11
If the fraction is 1.27777777777777 and repeating like that, then the fraction is 23/18
Answer:
This is a many-to-one function as the value of y = -1 corresponds to two values of x:

Step-by-step explanation:
<u>Function</u>
A special relationship where each input (x-value) has a single output (y-value).
A function is <u>one-to-one</u> if each value in the range (y-values) corresponds to exactly one value in the domain (x-values).
A function is <u>many-to-one</u> if some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).
This is a many-to-one function as the value of y = -1 corresponds to two values of x:

This is not a function as the value of x = -5 corresponds to two values of y:

This is not a function as the value of x = -2 corresponds to two values of y:

This is not a function as the value of x = -4 corresponds to two values of y:

Answer: the population be after 10 years is 289145
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 210000
r = 3.25% = 3.25/100 = 0.0325
t = 10 years
Therefore,
y = 210000(1 + 0.0325)^10
y = 210000(1.0325)^10
y = 289145
We need to multiply the factors (x - 2) and (x^2 + 9x + 10) to see if the product is the original expression given.
(x - 2)(x^2 + 9x + 10)
x^3 + 9x^2 + 10x - 2x^2 - 18x - 20
x^3 + 7x^2 - 8x - 20.
Since the product just found is not the original expression given, Jimmy is wrong.
I will complete the work on paper by synthetic division and post my answer.
After using synthetic division, the correct quotient is x^2 + 9x + 20.