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3 years ago

14

Can someone help with this math question

1 answer:

makkiz [27]3 years ago

8 0

This is a problem of region. As shown in the figure, we have straight lines. We know that the equation for non-vertical lines is often given in the slope-intercept form by:
$y=mx+b$

being m the slope of the line and <span>b the y-intercept of it.

On the other hand, if x = 0 then y = b.
</span>
We will order the equations above without inequalities<span> like this:

</span> $y=-x-6$
<span>
So, the G and J are straight lines with negative slope. We need to find the one that matches the inequality. Taking a point, for example (0, 0), we will analyze Figure J, so in the inequality:

</span> $0+0\ \textless \ -6$
<span>
This is false, so this statement doesn't match the Figure J. Therefore, the answer is G.

</span>

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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel

timama [110]

Answer:

$\displaystyle A=\frac{1}{192}$

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

$P=4x+3y$

We know the total fencing is 1/2 miles long, thus

$\displaystyle 4x+3y=\frac{1}{2}$

Solving for x

$\displaystyle x=\frac{\frac{1}{2}-3y}{4}$

The total area of the pasture is

$A=x.y$

Substituting x

$\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y$

$\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}$

Differentiating with respect to y

$\displaystyle A'=\frac{\frac{1}{2}-6y}{4}$

Equate to 0

$\displaystyle \frac{\frac{1}{2}-6y}{4}=0$

Solving for y

$\displaystyle y=\frac{1}{12}$

And also

$\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}$

Compute the second derivative

$\displaystyle A''=-\frac{3}{2}.$

Since it's always negative, the point is a maximum

Thus, the maximum area is

$\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}$

6 0

3 years ago

5. Mr. Williams had 36 guests at his house for a party. Each guest brought

saul85 [17]

Answer:23

Step-by-step explanation:

4 0

3 years ago

✎Question:Amirah is 4 years elder than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47, find the

Gnom [1K]

Answer:

Priya's age = 15

Amirah's age = 19

Shirley's age = 13

Step-by-step explanation:

Let x be the age of Priya.

According to the question,

Amirah's age = x + 4

Shirley's age = x - 2

Their sum is 47.

So,

x + 4 + x + x - 2 = 47

3x + 2 = 47

3x = 47 - 2

3x = 45

x = 45/3

x = 15

So,

Priya's age = 15

Amirah's age = 15 + 4 = 19

Shirley's age = 15 - 2 = 13

7 0

3 years ago

Read 2 more answers

I GIVE ANOTHER BRAINLIEST

dlinn [17]

Answer:

Answer Below

Step-by-step explanation:

Triangle #1

To solve this answer we need to multiply then <em>divide by 2</em>

$3$ x $8=24$

$24$ ÷ $2=12$

12

Triangle #2

Now we do the same thing!

$3$ x $8=24$

$24$ ÷ $2=12$

12

Rectangle #1

<em>Now we solve for the rectangle!</em>

$6$ x $8 = 48$

48

Now we add all these together!

$12 + 12 + 48 = 72$

<em>The answer is D. 72 Square Units</em>

8 0

2 years ago

Read 2 more answers

Please answer asap!!!

ASHA 777 [7]

Answer:

15/3

Step-by-step explanation:

.................................

6 0

3 years ago