Use the power rule (which says to multiply the exponents)
1) n⁴ˣ⁸ = n³²
2) x³ˣ⁻⁵ = x⁻¹⁵ =
3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵
An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x and 1 is labeled +. 1t ile is in the Factor 2
1 answer:
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Answer:
2500 Square meters
Step-by-step explanation:
Given the garden area (as a function of its width) as:
The maximum possible area occurs when we maximize the area. To do this, we take the derivative, set it equal to zero and solve for w.
A'(w)=-2w+100
-2w+100=0
-2w=-100
w=50 meters
Since Marquise has 200 meters of fencing to build a rectangular garden,
Perimeter of the proposed garden=200 meters
Perimeter=2(l+w)
2(l+50)=200
2l+100=200
2l=200-100=100
l=50 meters
The dimensions that will yield the maximum area are therefore:
Length =50 meters
Width=50 meters
Maximum Area Possible =50 X 50 =<u>2500 square meters.</u>