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Gnesinka [82]
3 years ago
15

Fill in the table using this function rule. y=30-4x X y 1 3 5 6 a

Mathematics
1 answer:
Scrat [10]3 years ago
8 0

Answer:

26

18

10

6

hope this will help u

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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
Write a Mathematical proof to show (3x)(5y)(7z) is equivalent to 105xyz
larisa86 [58]
=3*5*7 (xyz)
=15*7 xyz
=105xyz
7 0
3 years ago
Read 2 more answers
What does this symbol mean in math ≈ ?
weeeeeb [17]
Approximately equal to symbol
And it’s mostly used in terms of numerical approximations
6 0
2 years ago
Read 2 more answers
2/5 times ( -10)=?<br> ?=
Rudiy27

\frac{2}{5}  \times ( - 10)

2 \times  - 2

- 4

6 0
3 years ago
Read 2 more answers
Find the sum of a finite arithmetic sequence from n = 1 to n = 10, using the expression 3n − 8.
maw [93]

Answer:

The answer is 85

Step-by-step explanation:

The equation used to find the sum of an arithmetic series is: (n/2) * (a1 + an).

n in this case is 10 (the number of numbers in the series)

an is 22 (plug in 10 to the expression 3n-8)

and a1 is -5 (plug in 1 to the expression 3n-8)

so when you plug everything in to the final equation, you get

(10/2) * (-5 + 22)

5 * 17

85

8 0
3 years ago
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