Answer:
Domain is: 0 ≤ n ≤ 75 where n is an integer
Step-by-step explanation:
Answer:
Question 1: <
Question 2: >
Question 3: <
Question 4: <
Step-by-step explanation:
The questions are repeating themselves but I tried to answer. For the first one, -2/3 is less than -1/6 because if you put the same denominator, that is what you get as your answer. Then, for the second one 2/3 is positive so you can automatically know it is greater than a negative fraction. Explanation for the third and fourth problems are the same as the first one.
Answer: Yes, 2.125 is a rational number.
Step-by-step explanation:
A. I would suggest including <em>all</em> units in your answer. Both answers are correct but the unit is also important.
average rate of change:
($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year
initial value:
$350
B. Take 2010 to be year 0. Then for year <em>x</em> = 0, the fee is <em>y</em> = $350.
If the fee increases at a rate of $100 per year, this means that when <em>x</em> = 1, <em>y</em> = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is
(450 - 350) / (1 - 0) = 100/1 = 100
which is the same as the average rate of change.
Using the point-slope formula for a line, the equation you want is then
<em>y</em> - 350 = 100 (<em>x</em> - 0)
<em>y</em> - 350 = 100<em>x</em>
<em>y</em> = 100<em>x</em> + 350
Answer: corresponding angles. lie on the same side of a transversal in corresponding positions with respect to two lines that the transversal intersects if the lines are parallel then the corresponding angles are congruent.
Step-by-step explanation: