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3 years ago

8

Helpppppppppppppppppppppppppppp

2 answers:

alexdok [17]3 years ago

7 0

4/5. hopefully this helps

Marina CMI [18]3 years ago

3 0

Answer:

<h2>look at the photo...............</h2>

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Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

4 years ago

If each member of a family of four were to drink the entire contents of a 6 fluid ounce juice box each dsy during lunch, what wo

adelina 88 [10]

Answer:

84

Step-by-step explanation:

6 times 7 is 42

42 times 2 is 84

5 0

3 years ago

2 45 is a common multiple of 5 and 9 true or false

Strike441 [17]

Answer:

False

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Two sides of a triangle are 12 and 15. Which inequality represents the solution to finding x, the third side.

Vikentia [17]

Answer:

the other side would be 15

Step-by-step explanation:

because 15 is bigger than 12 and the 12 is the bottom line and then the other line going up is 15 so it's equal.

4 0

3 years ago

What is the answer?

taurus [48]

$x^2y^3(1-x^3y)$

This is because you can at most, factor out x² and y³

5 0

4 years ago