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Afina-wow [57]
3 years ago
11

Consider the following formula

Mathematics
1 answer:
son4ous [18]3 years ago
5 0
The correct answer is option c
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A rectangular bird sanctuary is being created with one side along a straight riverbank. The remaining three sides are to be encl
shusha [124]

Answer:

For a rectangle of length L and width W, the perimeter is:

P = 2*L + 2*W

And the area is:

A = L*W.

Now, we know that the sanctuary has one side along a straight riverbank, then we will not fence that side. if L > W, then makes sense to put one of the "length" sides in the riverbank, in that way, we are saving more fence for the other 3 sides.

Then we will have that, the total length of fence used is:

12km = 2*W + L (two times the width and only one time the length are fenced).

From this, we can isolate one of the variables:

L = 12km - 2*W

And replace that in the area equation:

A(W) = (12km - 2*W)*W = 12km*W - 2*W^2.

To maximize this function, we must see when the first derivate is equal to zero:

A'(W) = 12km - 4*W = 0

            12km = 4*W

             12km/4 = 3km = W

Then the width that maximizes the area is W = 3km.

And the maximum area will be:

A'(3km) = 12km*3km - 2*(3km)^2 = 18km^2

And the length can be computed with the equation:

L = 12km - 2*W = 12km - 2*3km = 6km

6 0
3 years ago
What is the Y intercept of function g if g(x)=2f(x)+1? a. 0,3 b.0,2 c 0,1 d 0,-1​
Elodia [21]

Answer:

d

Step-by-step explanation:

The y- intercept is where the graph crosses the y- axis

The graph crosses the y- axis at (0, 1 ) ← y- intercept

7 0
2 years ago
what is f(x) = 2x2 28x – 5 written in vertex form? f(x) = 2(x 7)2 – 19 f(x) = 2(x 7)2 – 103 f(x) = 2(x 14)2 – 14 f(x) = 2(x 14)2
Katarina [22]
Hello,
++++++++++++++++++++++
Answer B
++++++++++++++++++++++

2x²+28x-5=2(x²+2*7x+49)-5-2*48
=2(x+7)²-103

++++++++++++++++++++++++++++++
4 0
3 years ago
Read 2 more answers
What is 1% of 12.54?
Snezhnost [94]

Answer:

0.1254

Step-by-step explanation:

(Divide by 100 to get 1%)

8 0
3 years ago
Read 2 more answers
What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2
klio [65]

y =  - 2x + 53x - 4y = 2 \\  y  = 51x - 4y = 2 \\  > y = 51 x - 4y \\  > 51x - 4y = 2
y = 51x - 4y \\ 5y = 51x \\ y =  \frac{51}{5} x
Substitute 51/5x into
51x - 4( \frac{51}{5} x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 \times  \frac{10}{102}  \\ x =  \frac{10}{51}  \: aka \: 0.196
Substitute that into
y =  \frac{51}{5}  \times  \frac{10}{51}  \\ y = 2
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.
8 0
3 years ago
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