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g100num [7]
2 years ago
11

A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false

Mathematics
1 answer:
Ket [755]2 years ago
7 0

Answer:

It is true, except when x = 2/5, since it is an asymptote.

Step-by-step explanation:

3x=5xy-2y

3x=y(5x-2)

3x/5x-2=y

5x-2=0 -------> 5x=2 --------> x=2/5

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"You are going to make a trash bin with a square base , vertical sides and no top. If you have 108 ft2 of material available, de
kotykmax [81]
<h2>Dimension of trash bin is 6 ft x 6 ft x 3ft .</h2>

Step-by-step explanation:

Let h be the height of box and a be the side of base square.

We have 108 ft² material.

Surface area of trash bin = 108 ft²

Surface area of trash bin = a² + 4 ah

a² + 4 ah = 108

       4ah = 108 - a²

            h=\frac{108-a^2}{4a}

Volume of trash bin, V = a²h

           V=a^2\times \frac{108-a^2}{4a}=27a-0.25a^3

At maximum volume differentiation of volume will be zero

               dV=27da-0.25\times 3a^2da\\\\0=27da-0.75a^2da\\\\a^2=36\\\\a=6ft

Surface area of trash bin = a² + 4 ah = 108

                                              36 + 4 x 6 x h = 108

                                                           h = 3 ft

Dimension of trash bin is 6 ft x 6 ft x 3ft .

8 0
2 years ago
A shark began at 172.5 meters below sea level and then swam up 137.1 meters where is the sharks location now relation to sea lev
shutvik [7]

Answer:34.4

Step-by-step explanation:

172.5-137.1=34.4

8 0
2 years ago
When expressing sets, you may write "inf" for infinity and "U" for union.
GarryVolchara [31]

Answer:

The complement of the given set in interval notation is(-\infty,-5]\cup(6,\infty). It can we written as (-inf,5]U(6,inf).

Step-by-step explanation:

The given set in interval notation is

(−5,6]

It means the set is defined as

A=\{x|x\in R,-5

If B is a set and U is a universal set, then complement of set B contains the elements of universal set but not the elements of set B.

Here, universal set is R, the set set of all real numbers.

U=\{x|x\in R\}

The complement of the given set is

A^c=U-A

A^c=\{x|x\in R,-\infty

Complement of the given set in interval notation is

A^c=(-\infty,-5]\cup(6,\infty)

Therefore the complement of the given set in interval notation is(-\infty,-5]\cup(6,\infty). It can we written as (-inf,5]U(6,inf).

3 0
2 years ago
I will give brainliest.....
just olya [345]

Answer: it’s b, f(x)=54(2/3)^x-1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The sides of a square are three to the power of two sevenths inches long. What is the area of the square? (
____ [38]

Answer:

Step-by-step explanation:

The side of the square = 3^2/7

Use the law of exponents . If the power is a fraction, that means it is

3^2/7 = 3^2 x 1/7 = 7√9

To find the area you multiply this by itself.

This gives you 1.87...

Hope this helps

8 0
2 years ago
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