Solve the following problem. Be sure to show all steps (V. E.S. T.) and work in order to receive full credit. The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers.

The numbers are 4, 8 and 14

Step-by-step explanation:

Required

Determine the three numbers

We start by declaring the variables

Let the three numbers be

Next, we write the relationships between the numbers

--- Second = Twice the first

--- Third = 6 more than second

--- Sum of the three numbers

Then, we solve for each number

Substitute 6 + y for x in

Collect Like Terms

Substitute 2 * x for y in

Solve for x

Recall that:

Recall that:

Hence, the numbers are 4, 8 and 14

To test the result:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.