Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
(30/100)(90*3+50*4)
(30/100)(270+200)
(30/100)(470)
$141.00
The value of f(0) is -1
<h3>What is a function?</h3>
A function can be defined as an expression, law or rule that explains the relationship between two variables; a dependent and an independent variable.
Given the function;
f(x)= -x - 1
To determine f(0), we substitute the value of x as 0 in the function
So, we have;
f(0) = -(0) - 1
f(0) = -0 - 1
f(0) = -1
Thus, the value of f(0) is -1
Learn more about functions here:
brainly.com/question/17043948
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Answer:
B
Step-by-step explanation:
