Answer:
This function represents a direct variation because it passes through the origin and has a constant rate
Answer:
Step-by-step explanation:
Multiplication
Ratio of Tables to garbage = 8:3
Small camp ground:
40 picnic tables and let x be the number of garbage cans
x = 15
Small campground with 40 picnic table needs 15 garbage cans
Large picnic ground:
120 picnic tables and let y be the number of garbage cans
y= 45
Big campground with 120 picnic table needs 45 garbage cans
The answer is: 100/(6+y)
you can ignore these words, its that 20 character thing
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
100 if rounded to hundreds
140 if rounded to tens
Step-by-step explanation:
