Let's verify by substituting 1 to x.
2 - 8x = -6
2 - 8(1) = -6
2 - 8 = -6
-6 = -6
It is equal, therefore x = 1 is the solution.
Answer:
Step-by-step explanation:
By MVT,

Moreover, 

Hence the largest possible value of f(5) is 13
Answer:

Step-by-step explanation:
Given
-- degree of freedom

Required
Determine the t-value
The given parameters can be illustrated as follows:

Where

So, we have:

To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and
is 3.673900
Hence, 
We first obtain the equation of the lines bounding R.
For the line with points (0, 0) and (8, 1), the equation is given by:

For the line with points (0, 0) and (1, 8), the equation is given by:

For the line with points (8, 1) and (1, 8), the equation is given by:

The Jacobian determinant is given by

The integrand x - 3y is transformed as 8u + v - 3(u + 8v) = 8u + v - 3u - 24v = 5u - 23v
Therefore, the integration is given by:
Answer:
4.04 x 10^0 people/km^2 (x 10^0 is fairly redundant but if the answer is required in standard form then include it)
Step-by-step explanation:
Population Density = Population/Area
= 3.11 x 10^7 / 7.69 x 10^6
= 31,100,000 / 7,690,000
= 3110 / 769
= 4.04
= 4.04 x 10^0