Answer:
6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
17−2n=9
17+−2n=9
−2n+17=9
Step 2: Subtract 17 from both sides.
−2n+17−17=9−17
−2n=−8
Step 3: Divide both sides by -2.
−2n−2=−8−2
n=4
Answer: - 3.5, -7/3
Step-by-step explanation:
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.
