HELP IM BEING TIMED!!!!

Y > 4x + 3<br><br> y < -2x - 9

Zielflug [23.3K]

Answer:

x > 2

Step-by-step explanation:

y < 4x +3

y > -2x - 9

-2x -9 < 4x +3

-6x < -12

IN CASES WHERE YOU DIVIDE A NEGATIVE NUMBER,DON'T FORGET TO CHANGE THE SIGN !!!

x > 2

4 0

3 years ago

A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an

Anestetic [448]

Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.

The goal of the environmental initiative is to save at least 25 million hectares of rain forest.

That is:

<em>X</em> + <em>Y</em> = 25....(i)

Now it is provided that:

The cost of planting trees is $ 400 per hectare.
The cost of purchasing land is $ 260 per hectare.
The initiative has a budget of $8,250 million.

Using the above data it can be said that:

400<em>X</em> + 260<em>Y</em> = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

$\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5$

Then the value of <em>y</em> is:

$x+y=25\\y=25-x\\y=25-12.5\\y=12.5$

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

4 0

3 years ago

4x +6y =0

PSYCHO15rus [73]

Here, x - 2y = 14
x = 14 + 2y

Now, substitute this value into first equation,
4x + 6y = 0
4(14 + 2y) + 6y = 0
56 + 8y + 6y = 0
14y = -56
y = -56/14
y = -4

Substitute it into second equation,
x = 14 + 2(-4)
x = 14 - 8
x = 6

In short, Your Answer would be: (6, -4)

Hope this helps!

4 0

3 years ago

Read 2 more answers

Can someone help me with this problem?

dlinn [17]

Answer

7 or 4

because do you see how v is lined 2 I don't remember if you times or divide .I'm going to go with times.

So what is 2 x 10 since V=10

2 x 10=20

Then we are going to divide so what is 20 divided by 5 since e=5

20 divided by 5=4

Next our last step what is 4 + 3=7 and there's are answer.

The answer is divide then this would be the answer.

so V(10) divided by 2=5 divided by e(5) =1 + 3=4

Hope this helps have a great day

8 0

2 years ago

Archimedes calculated the volume of a sphere by comparing it to what solid? prism cylinder pyramid box

Stella [2.4K]

<h2>Answer:</h2>

cylinder

<h2>Step-by-step explanation:</h2>

Archimedes was a brilliant mathematician. This man rose the formula of the volume of a sphere by comparing this shape to a cylinder. The volume of a sphere is hard to calculate by comparing this object to a cube. So Archimedes imagined cutting a sphere into two halves, called hemispheres. So an hemisphere gave him a flat surface, which is easier to work with. Therefore, if he'd find the volume of a hemisphere, then he'd multiply the result by 2 and would get the volume of a sphere. Then he imagined a hemisphere within a cylinder as the one shown below. Also, he imagined a cone within the same cylinder. <em>What did he find? </em>He found that the volume of the hemisphere should be equal to the volume of the cylinder minus the volume of the cone:

$V=\pi r^3-\frac{1}{3}\pi r^3 \\ \\ V=\frac{2}{3} \pi r^3$

Then the volume of a sphere is twice this volume:

$\boxed{V=\frac{4}{3} \pi r^3}$

3 0

3 years ago