The two enclosures will need three equal fences coming out from the wall and meeting another fence running parallel to the wall. If the fences coming out from the wall are x metres long the parallel fence will be (132 - 3x) metres long.
The area A = x(132 - 3x) = 132x - 3x^2
The derivative of A = zero when 132 - 6x = 0 which means the maximum area is when x = 22m
The maximum area = 22 x (132 - 3 x 22) = 1452 m^2
If you don’t know how to find derivatives then you could sketch the graph of y = x(132 - 3x).
This is an inverted parabola (hill) with x intercepts at 0 and 132/3 = 44.
The maximum point (top of the hill) is halfway between 0 and 44 I.e. 22m
Try any other value for x and the area will be smaller.
Answer:
270
Step-by-step explanation:
Answer:
A. -2 and 0
Step-by-step explanation:
The curve hits both mark -2 and 0
Answer:
-3+(-6) = -9
Step-by-step explanation:
a negative 3 plus another negative 6 is a negative 9. Is just like if you borrow $3 from your friend and borrow $9 from another friend. That means you own two of your friends a total of $9. This can be mathematically illustrate as: -3 + (-6)= -9
Answer:
hello :
If f(x)=x-2 and g(x)=1/2x,
g(f(x)) = g ( x - 2 )
= 1/2(x-2)
g(f(x)) = (1/2)x - 1
