Answer:
23.05 x 10.85
Step-by-step explanation:
Area of Rectangular Fence = L * W = 250
L * W = 250
W = 
................................... (i)
Perimeter = 2L + 2W
Three sides cost 4 dollars per foot = 4(2L) + 4W
(The two lengths must be constructed with the 4 dollars materials)
Fourth side costs 13 dollars per foot = 13W
Cost = 4(2L) + 4W + 13W
C = 8L + 17W ...................................... (ii)
Substitute (i) into (ii)
C = 8L + 17 ()
C = 8L + 
Plotting this equation with L on the x-axis and cost on the y-axis
minimum cost will be when L ≈ 23.05 ft
W = 
≈ 10.85 ft
minimum cost = 8(23.05) + 
minimum cost = 184.4 + 184.382
minimum cost ≈ 368.78 dollars
-x - 50/10 = -2x + 150/10 <=== ur equation
-x + 2x = 150/10 + 50/10
x = 200/10 reduces to 20
Answer:
a. Domain: (-∞, ∞)
Range: (0,∞)
b. Domain: (-∞, ∞)
Range: (0,∞)
c. Domain: (-∞, ∞)
Range: (-∞,0)
d. Domain: (-∞, ∞)
Range: (-∞,0)
e. Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
These equations are all exponential functions. Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. None of these have that and their y - values remain between 0 and ∞. This is the range, the set of y values.
However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. C and D have this. Their range is (-∞, 0)
In exponential functions, the x values are usually not affected and all are included in the function. Their domain is (-∞, ∞). All of these equations have this domain.
a. Domain: (-∞, ∞)
Range: (0,∞)
b. Domain: (-∞, ∞)
Range: (0,∞)
c. Domain: (-∞, ∞)
Range: (-∞,0)
d. Domain: (-∞, ∞)
Range: (-∞,0)
e. Domain: (-∞, ∞)
Range: (0,∞)
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Answer:
144000
Step-by-step explanation:
