Answer:
x= 19/7
Step-by-step explanation:
Answer:
x = 22.68
Step-by-step explanation:
82.24 = -8.48 + 4x
82.24 + 8.48 = 4x
4x = 90.72
x = 22.68
Answer:
-5/9 ≥ 5k
Step-by-step explanation:
no less than means greater than or equal to because -5/9 is the lowest it can go (nothing less than), meaning that number or higher. 5 times a number k is just 5 times k, which is 5k to the inequality is
-5/9 ≥ 5k
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.
