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LUCKY_DIMON [66]
3 years ago
15

Could you answers the question?

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0
1.Austion bc he is taking more time
2. 1/2 of the stair case
3.the whole stair case
4.Dylan
5. Dylan he takes the same jumps just skips steps and jumps further and higher
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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
Using L'Hopital's rule, evaluate the limit as x approaches infinity of (sin (8x))/(5x)
sweet-ann [11.9K]

Answer:

45.89

Step-by-step explanation:

This is what is the answer

6 0
2 years ago
Determine if the equation y = 2(0.45)x represents exponential growth or decay
djverab [1.8K]
We have that
y = 2(0.45)^x

in this problem 
2-----------> is the Coefficient
0.45-------> is the Base
<span>x-----------> is the Exponent

we know that
</span><span>If the base  is less than 1 (but always greater than 0), the function will be exponential decay
</span>It is decay because as x values increase, y values decrease.
<span>0.45 < 1  and 0.45 > 0
therefore

the equation
</span>y = 2(0.45)^x
represents <span>exponential decay
</span>
the answer is
exponential decay<span>

</span>
6 0
2 years ago
What is the common ratio between successive terms in the sequence? 2, -4, 8, -16, ​
Marianna [84]

Answer:

the answer is f(x) = n*(-2)

ratio is the wrong word to use, it is for contolled variation in probability. a sequence is controlled by what is known as a function - f(x) is the symbol for a function

Step-by-step explanation:

the following number of the previous one in the sequence is derived by the function f(x)=n*(-2)

2 x -2 = -4 (positive x negative = negative)

-4 × -2 = 8 (negative x negative = positive)

8 x -2 = -16 (positive x negative = negative)

so in the sequence, the trend of -,+ double will go on

7 0
3 years ago
HELP QUICK !’ ***What is the area of a circle with a diameter of 126 in?
Vladimir79 [104]

Answer:

49,850.64

Step-by-step explanation:

To find the area of a circle, you must use the formula pi r ^2 (pi r squared).

In this case, we are using 3.14 for pi, so we can add that into the formula.

3.1r^2

We also know the radius, so we can add that in too.

3.14 x 126 ^2

Now solve.

126^2 = 15,876

15,876 x 3.14 = 49,850.64

49,850.64 is the answer.

Hope this helped!

8 0
3 years ago
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