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2 years ago

9

A line perpendicular to the line y=5x+6

1 answer:

Ratling [72]2 years ago

3 0

Answer:

y= -10x +12

Step-by-step explanation:

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Which unit price is the highest? turnips for $1.51 per pound peppers for $1.62 per pound parrots for $1.26 per pound celery for

Rom4ik [11]

Answer:

The highest price is of peppers $1.62

Step-by-step explanation:

Cost of turnips per pound = $1.51

Cost of peppers per pound = $1.62

Cost of the carrots per pound = $1.26

Cost of celery per pound = $1.48

As all the costs are given in the same unit prices, we can simply compare the prices to find out highest value.

The highest price is of peppers $1.62.

7 0

3 years ago

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Find the value of 3 √ 512

Elena L [17]

Step-by-step explanation:

finding for 3√512

=67.882250993908562

rounded to the n nearest whole number=68

8 0

2 years ago

How many bags of each cookie did Stephanie sell? How many total bags of cookies did she sell

____ [38]

Numbers for the equation

4 0

2 years ago

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

3 years ago

Is 5622 divisible by 4

Pani-rosa [81]

Well it's 1,405.5 so no

7 0

3 years ago

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