It is not a function did I do good
Answer:
a) -6/2
b) -9/2
Step-by-step explanation:
a) rearrange by making y the subject as y = mx+c
y = -6/2x-9/2
the gradient = -6/2
b) c is the y-intercept as it touch the y-axis, therefore -9/2 is where the line crosses the y-axis
<span>About a third of the residents prefer a park improvement of more trees.</span>
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.
