Answer:
Step-by-step explanation:
Area = pi r^2 if 3 is the radius
pi (3)^2 = 9 pi in^2
if 3 is the diameter then radius = 1.5
pi r^2 = pi (1.5)^2 in^2
Answer:
3
Step-by-step explanation:
3/3=1 which is smaller then 2
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
I am pretty sure it's Y=2/5x - 4.8. I'm sorry if it's wrong
Answer:
One real root
Step-by-step explanation:
By the fundamental theorem of algebra, an nth degree polynomial has n-possible real roots.
If there are complex roots, then the the complex roots come in pairs.
Therefore the number of possible real roots of 
are 3 real roots with no complex pairs or 1 real root with a complex pair.
By Descartes rule of signs, there is only one change of sign in the polynomial (+ to -).
Hence there is only one positive real root.
There is change is sign two times but we can not have even number of real roots for this polynomial
Therefore there is only real root.
