Answer: 
Step-by-step explanation:
Given: A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.
The pipe is located 8 inches from the vertex of the mirror.
Assume the vertex is at the origin.
If the parabola opens upwards
then the coordinates of focus= (0,8)
We know that equation of parabola with focus (0,a) and open upards is of the form (vertex=(0,0)) is

Substitute the value of a=8 in equation, we get


Therefore, equation of the parabola that models the cross section of the mirror is 
Alex can buy at most 4 pounds of tomatoes
Let:
a represent pounds of tomatoes to buy
3a represent pounds of black beans to buy
Total cost of each ingredient that can be bought = number of pounds x price per pound
Tomatoes = a x $1.60 = 1.60a
Black beans = 3a x $1.70 = 5.1a
1.60a + 5.1a = 26.80
Add similar terms
6.7a = 26.80
Divide both sides of the equation by 6.7
a = 4 pounds
A similar question was solved here: brainly.com/question/848628?referrer=searchResults
Company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 = 25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537
company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.
Answer:
3.64 Km.
Step-by-step explanation:
Given,
Total population = 20,000 people
Population density = 480 people per square kilometer
Area of the circle town


Radius of the circle town


Hence, the radius of circle town is equal to 3.64 Km.