Answer:
option (A) 900 ft²
Step-by-step explanation:
Let the length be L and width of the area be 'B'
now,
Perimeter of the fence = 2 (L + B)
also,
2 (L + B) = 120 feet
or
L + B = 60 ft
or
L = 60 - B ft
Now,
The area of the fencing ground, A = LB
or
A = (60 - B)B
A = 60B - B²
now,
differentiating the area with respect to width B, we get
or
= 60 - 2B
for point of maxima or minima, put = 0
thus,
60 - 2B = 0
or
2B = 60
or
B = 30 ft
to check for maxima or minima
= - 2
since,
is negative, B = 30 ft is point of maxima
therefore,
L = 60 - B = 60 - 30 = 30 ft
Thus,
Maximum area of the fencing ground = 30 × 30 = 900 ft²
Hence,
The correct answer is option (A) 900 ft²
Answer:
Historically, surnames evolved as a way to sort people into groups - by occupation, place of origin, clan affiliation, patronage, parentage, adoption, and even physical characteristics (like red hair). Many of the modern surnames in the dictionary can be traced back to Britain and Ireland.
Similar surnames: Leverenz, Lewerenz, Lieberg, Lieber, Lieberman, Liebert, Liebermann
Step-by-step explanation:
Answer:
7000 - 24x = y(the amount he can sell the car for)
Step-by-step explanation:
It is A and also this isn’t worth 15 points
The value of a will be 0.125. Then the value of a is positive then the parabola will be upward.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
A parabola opening up or down has vertex (0,-4) and passes through (-12,14).
The equation of the parabola is given as
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
(h, k) = (0, -4)
Then the equation of the parabola will be
y = a(x)² - 4
The parabola is passing through (-12, 14). Then the value of a will be
14 = a(-12)² - 4
14 = 144a - 4
144a = 18
a = 1/8
a = 0.125
Then the equation of the parabola will be
y = 0.125x² - 4
If the value of a is positive then the parabola will be upward.
More about the parabola link is given below.
brainly.com/question/8495504
#SPJ1
