Answer:
Please check the explanation.
Step-by-step explanation:
Given the English statement
''The sum of two and number is less than five''.
Let us breakdown the statement.
- The sum of two and number = 2 + n
We know that the less than symbol is denoted by '<' which is used for comparison.
Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:
Let us solve the algebraic expression.

Subtract 2 from both sides

Simplify

Thus, the solution is:

Please also check the attached solution line graph.
36 feet + 9 feet
= 45 feet
You are correct! The distance from where Debbie and Andy are standing to the coral reef is 45 feet in total.
Answer:
The rule that represents the function is
therefore the function is 
Step-by-step explanation:
We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>
Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.
<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.
So <u>we propose the rule </u>
<u> which is correct for the first 3 values of x.</u>
Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as


Therefore, the rule is correct, and the function is

Answer:
See explanation below
Step-by-step explanation:
The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change: - 3/5, which is in fact the slope of the line the three points belong to.
<span>point-slope equation
y - 8 = 3(x - 6)
hope it helps</span>