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11111nata11111 [884]
3 years ago
7

7/12 - □ = 1/6□ = ________​

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0
The answer is 5/12 because 1/6 converts to 2/6 and 7/12-2/6 is equal to 5/12
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Given a function I and a subset A of its domain, let I(A) represent the range of lover the set A; that is, I(A) = {I(x) : x E A}
Ede4ka [16]

Step-by-step explanation:

(a)

Using the definition given from the problem

f(A) = \{x^2  \, : \, x \in [0,2]\} = [0,4]\\f(B) = \{x^2  \, : \, x \in [1,4]\} = [1,16]\\f(A) \cap f(B) = [1,4]  = f(A \cap B)\\

Therefore it is true for intersection. Now for union, we have that

A \cup B = [0,4]\\f(A\cup B ) = [0,16]\\f(A) = [0,4]\\f(B)= [1,16]\\f(A) \cup f(B) = [0,16]

Therefore, for this case, it would be true that f(A\cup B) = f(A)\cup f(B).

(b)

1 is not a set.

(c)

To begin with  

A\cap B \subset A,B

Therefore

g(A\cap B) \subset g(A) \cap g(B)

Now, given an element of g(A) \cap g(B) it will belong to both sets, therefore it also belongs to g(A\cap B), and you would have that

g(A)\cap g(B) \subset  g(A \cap B), therefore  g(A)\cap g(B)  =  g(A \cap B).

(d)

To begin with A,B  \subset A \cup B, therefore

g(A) \cup g(b) \subset g(A\cup B)

7 0
3 years ago
Help please asap :)))
iVinArrow [24]

Answer:

Step-by-step explanation:

The volume is calculated like:

V= length* hauteur* wide

V= 5* 2 3/4* 10 1/2

V= 5*\frac{11}{4} *\frac{21}{2} =\frac{5*11*21}{4*2} =\frac{1155}{8}=144.375  \\=144 \frac{3}{8} in^{3}

3 0
3 years ago
Is 11/15 less than 1/2
Art [367]
No because if you convert them into a percentage, you get 11/15 as 73.3% and 1/2 is 50%. Hope this helps
6 0
3 years ago
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Nana76 [90]
Cbrt-8 = -2
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5 0
3 years ago
Which table represents a direct variation function?
leonid [27]
3 i think it might be

8 0
3 years ago
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