Answer:
length = 60 foot, width = 30 foot
Step-by-step explanation:
Area of rectangular part, A = 1800 ft²
Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.
Let the length of the rectangle is l and the width of the rectangle is W.
Area = Length x width
A = L x W
1800 = L x W ...... (1)
Total cost of fencing, C = 6 x ( L + W + L) + 18 x W
C = 6 (2L + W) + 18 W
C = 12 L + 24 W
Substitute the value of W from equation (1),
in equation (2)


Differentiate both sides with respect to L:

Put it equal to zero for maxima and minima

L = 60 foot
and W = 30 foot
So, the costing is minimum for length = 60 foot and the width = 30 foot.
Answer:
9.8t
Step-by-step explanation:
3.9t + 5.9t = 9.8t
The opposite of this problem is -1
Using the tables to answer the question, the correct option is D.
Only table B represents a function
A relation/table will represent a function if each value of x is attached to a unique value of y.
That is, no value of x must be mapped to more than one value of y.
By considering the tables represented
Set A = {(-5, 2), (-8, 5), (-5, 8)}
As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.
Set B = {(-5, 2), (-8, 5), (-11, 2)}
As shown above, all values of x have different values of y. Therefore, table B represents a function.
Learn more here: brainly.com/question/25902874
Answer:
C
Step-by-step explanation:
given the 2 equations
x + y = 0 → (1)
5x + 3y = - 8 → (2)
Rearrange (1) expressing x in terms of y by subtracting y from both sides
x = - y → (3)
Substitute x = - y into (2)
5(- y) + 3y = - 8, that is
- 5y + 3y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4
Substitute y = 4 into (3) for corresponding value of x
x = - y = - 4
Solution is (- 4, 4 ) → C