Answer:
The population will reach 34,200 in February of 2146.
Step-by-step explanation:
Population in t years after 2012 is given by:
In what month and year will the population reach 34,200?
We have to find t for which P(t) = 34200. So
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
So 
Then
We only take the positive value.
134 years after 2012.
.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.
So the population will reach 34,200 in February of 2146.
Answer:
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything below and to the right of the line is shaded.
Step-by-step explanation:
The first step is writing in the general form of the first order equation
y = f(x) or y > f(x) or y < f(x)
And
f(x) = ax + b
In which a is the slope.
We have that:
x - 2y > -6
-2y > -6 - x
When multiplying by -1, the signal changes, from > to <
2y < x + 6
y < 0.5x + 3
The slope is positive, since 0.5 is positive.
Since it is y lesser than, it is everything below and to the right of f(x) is painted.
The line is dashed because this is just lesser, not lesser or equal.
The correct answer is:
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything below and to the right of the line is shaded.
ANSWER
The domain of the function is
or
[-3,6]
EXPLANATION
The domain of a function refers to the values of x for which the function is defined.
From the graph, we can see that the function begins at (-3,6) and ends at (6,-4).
Therefore the function is defined for x=-3 to x=6.
Hence the domain of the function is
or
[-3,6]
