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3 years ago

If A ⊂ B, then A ∩ B = A ∪ B. always, sometimes, never

Mathematics

2 answers:

Alex_Xolod [135]3 years ago

8 0

The answer is never.

posledela3 years ago

3 0

<h2>Answer:</h2>

Hence, the property:

A ∩ B = A ∪ B never hold .

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

We are given that set A⊂B .

This means that set A is properly contained in set B.

i.e. A≠B

This means that there are some elements in set B which are not in set A.

Now we have to show whether the following property A∩B=A∪B

always, sometimes or never hold.

As A is a proper set of B.

This means that: A∩B=A ( Since A is a smaller set)

Also, A∪B=B (Since B is a bigger set)

Hence, A∩B ≠ A∪B (Since A≠ B)

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Derivative of y=(3x+5)^3

UkoKoshka [18]

$\\ \sf\longmapsto \dfrac{dy}{dt}$

$\\ \sf\longmapsto \dfrac{d}{dt}(3x+5)^3$

$\\ \sf\longmapsto \{3(3x+5)\}^2$

$\\ \sf\longmapsto (9x+15)^2$

$\\ \sf\longmapsto 9x^2+2(9x)(15)+(15)^2$

$\\ \sf\longmapsto 81x^2+270x+225$

6 0

2 years ago

Read 2 more answers

Helpppppppp

wel

The hypotenuse can be solved by this formula. X^2 = 6^2 +6^2

X^2=64
Usually you cut it down to 8 but it wants the squared form so 64.

6 0

3 years ago

Jaden is flying a kite and let’s off 275 feet of string. If the kite is 150 feet above ground and assuming the string is straigh

vivado [14]

Answer:

≈ 33°

Step-by-step explanation:

So, first, you can draw a visual. Refer to the image attached below:

Using this info, you can use trigonometric ratios. Recall that:

tangent = opposite side/adjacent side

sine = opposite side/ hypotenuse

cosine = adjacent side/hypotenuse

You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.

So:

$sinX = \frac{150}{275}$

However, we're not trying to find sinX, we're trying to find X.

So we would have to use inverse sine, which would then be:

$X = sin-1 (\frac{150}{275} )$

Put this into your calculator, and:

X ≈ 33.05573115...

3 0

3 years ago

Is (2, 4) a solution to the system<br> y = 2x<br> x + y = 6

posledela

Answer:

yes you plug the numbers in

5 0

3 years ago

(18 x 4) * 5 =<br> 22 x (6 x 10) =<br> 15 x (4 x 20) =

zhenek [66]

Answer:

(18 x 4) * 5 = 360

(18 x 4) * 5 = 1320

15 x (4 x 20) = 1200

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers