One number is 8 more than another. If the sum of the smaller number and twice the larger number is 46, find the two numbers.Let
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>
Answer:
False,
(-4, -1) is not a solution of the given system of equations
Step-by-step explanation:
Given the system of equations:
.......[1]
......[2]
To determine (-4, -1) is a solution
Substitute x = -4 and y = -1 in both the equations, if they both satisfied then it is a solution.
⇒
⇒ False.
⇒
⇒ True.
Since, the given statement is not true
because the ordered pair (-4, -1) does not satisfy the given system of equations.