Answer:
-7/3
Step-by-step explanation:
vertex = -b/2a
a = 3
b = 14
-14/2(3)
-14/6
-7/3
Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
<span>8.7 = 3.5m - 2.5(5.4 - 6m
3.5m - 2.5(5.4 - 6m) = 8.7
18.5m - 13.5 = 8.7
18.5m - 13.5 + 13.5 = 8.7 + 13.5
18.5m = 22.2
</span><span>18.5m = 22.2
--------- --------
18.5 18.5
m = 1.2
</span>