Great work! But please show more of the picture
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.
Answer: C. A line that rises from left to right has a positive slope.
Step-by-step explanation: A. has a slope of 0, B. has an undefined slope, and D. is supposed to go left to right not right to left.
Answer:
Sum of 
and 
is 
Option B is correct answer.
Step-by-step explanation:
We need to find sum of and
Finding sum of 
and :
We know that 
Replacing x^2-4
Now, taking LCM of (x+2)(x-2) and (x+2) we get (x+2)(x-2)
So, Sum of and is
Option B is correct answer.
Answer:
Step-by-step explanation:
Given:
Apply the negative exponent rule
The bases will cancel each other
