To determine how many acres would minimize cost, we need to differentiate the expression given and set it to zero and obtain the value of x. We do as follows:
C(x) = 0.2x^2 - 12x +240
C'(x) = 0.4x - 12
0 = 0.4x - 12
x = 30 acres <---------amount of flowers needed to minimize cost
Answer:
b=4, h=5
Step-by-step explanation:b(b+1) divided by 2 is 10, so b(b+1)=20 so b^2 + b =20 so b^2 +b -20=0 which equals (b+5)(b-4), giving us solutions -5 and 4. However, -5 is invalid bc it is negative, so base must be 4 making height 5
Answer:
57.5
Step-by-step explanation:
The constant of proportionality is "k" in the equation ...
y = kx
It can be found from values of x and y using ...
k = y/x
For the given values, it is ...
k = (287.5 mi)/(5 h) = 57.5 mi/h
The constant of proportionality relating miles to hours is 57.5.
Answer:
4/3
Step-by-step explanation:
3y=4x-12
divide by 3 to isolate y
y=4/3x-4
slope is 4/3
Answer:
1 hour
Step-by-step explanation:
The speed ratio is ...
... truck : car = 1 : 1.5
Then the ratio of truck speed to the sum of their speeds is ...
... truck : combined = 1 : (1+1.5) = 1 : 2.5
Since time is inversely proportional to speed, the two vehicles will meet after 1/2.5 times the time the truck takes to cover the distance. That is ...
... (2.5 hours)/2.5 = 1 hour
_____
The truck speed is 145 mi/(2.5 h) = 58 mi/h.
The car speed is 1.5 × 58 mi/h = 87 mi/h.
Their combined speed is 58 + 87 = 145 . . . . mi/h.
So, they will cover the 145 mile distance in 1 hour.
