Given:
Number = -9.1
To find:
The magnitude (size) of given number.
Solution:
We know that, magnitude of a number is the absolute value of that number.
So, magnitude of -9.1 is

Because, absolute value of a number is always positive.
Magnitude of -9.1 is 9.1 because
.
Therefore, the correct option is A.
Answer:

Step-by-step explanation:
I'm sorry that I cannot show you my work as the equation generator does not support dividing polynomials.
Answer:
The population size after eight days is about 265
Step-by-step explanation:
This is an example of an exponential growth model. A quantity <em>y</em> that grows or decays at a rate proportional to its size fits in an equation of the form

where k is a positive constant. Its solutions have the form
,
where
is the initial value of y.
The population size can be calculated by using the below formula:
where
is the population on day zero.
Let t be the time in days,
We know from the information given that:
- k = 0.4964 per member per day and
- The day zero (t = 0) the population size is 5 (P(0) = 5)
To find the population size after eight days
Substitute P(0) = 5, k=0.4964 in 
Then

Now we calculate P(t) when t = 8 days

Therefore the population size after eight days is about 265
Answer:
6.167
Step-by-step explanation:
1 + 2/3 - (-9/2)
1 + 2/3 + 9/2
Taking LCM (1 x 2 x 3)
6/6 + 4/6 + 27/6
6 + 4 + 27/6
37/6
6.167 Ans
First, we have to find x- and y-intercepts of given equation.
1. y-intercept is a point (0, y) so substitute x = 0 and calculate:

y-intercept =
(0, -3)
2. x-intercept is a point (or points) (x, 0), so when we substitute
y = 0 there will be:

x-intercept =
(3, 0)
Now, when we have x- and y-intercepts, we can write an equation of a line (graph of the linear function) that passes through this two points
:

Our linear equation is:
y = x - 3