2x+3y=60 solve for x...
x=(60-3y)/2
p=xy^3, using x from above:
p=y^3(60-3y)/2
p=(60y^3-3y^4)/2
dp/dy=(180y^2-12y^3)/2
dp/dy=90y^2-6y^2
dp/dy=0 when:
90y^2-6y^3=0
6y^2(15-y)=0, we know y>0 so
y=15, since x=(60-3y)/2
x=7.5
(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
<span>
<span>Speed
is calculated as distance covered, divided by the time taken to cover that
distance. In this case, the sales person covered 50KM in 45minutes (which can
also be expressed as 3/4 hours). To calculate the speed he used to cover this
distance, we divide the distance covered by the time taken. So 50km/3/4hours.
This gives us 66.67km/hr. In order to calculate the amount of time the
salesperson used to travel from the office to the sales person, we calculate
as follows 250km/66.67km/hr. This gives us a total of 3.75 hours or 3 hours 45 minutes.</span></span>
Answer:
3) 36
2) 55
Step-by-step explanation:
We have to place the numbers in order from least to greatest.
3) 23, 26, 26, 32, 32, 36, 50, 52, 52, 52, 59,
4) 40, 42, 49, 54, 62, 67, 67, 70, 95
The more is the the difference between the lowest and highest values.
95-40=55
Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute both parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= - 4x + 7y
= 7y - 4x
