Simplest form of:
12/30=2/5
12/20=3/5
21/35=3/5
Answer:
<em>The average rate of change is $25.5 per hour, option B.</em>
Step-by-step explanation:
<u>Average Rate of Change
</u>
When we are explicitly given some function C(x), we sometimes need to know the rate of change of C when x goes from 
to 
. It can be computed as the slope of a line
.
The provided function is
We are required to compute the average rate of change between the points
Let's compute
The average rate of change is $25.5 per hour, option B.
Answer:
2/9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let h be the number of hats Elliott makes and s be the number of scarves she makes.
Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as
h = 2s
The total number of hats and scarves that she wants to make is 20. This is expressed as
h + s = 20
Therefore, the system of equations that represents this situation are
h = 2s
h + s = 20
X = -3
y = 3*sqrt(3)
r = sqrt(x^2 + y^2)
r = sqrt((-3)^2 + (3*sqrt(3))^2)
<span>r = sqrt(9+27)
</span><span>r = sqrt(36)
</span>r = 6
theta = arctan(y/x)
<span>theta = arctan(3sqrt(3)/(-3))
</span>theta = arctan(-sqrt(3))
theta = -60 degrees which is coterminal to 300 degrees
So the polar form is (r,theta) = (6, 300)
