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allochka39001 [22]
4 years ago
10

Which are operations in the algebra of sets?

Mathematics
1 answer:
sergey [27]4 years ago
5 0

Answer:

I found the Dictionary and mathematical definitions.

Step-by-step explanation:

The algebra of sets defines the properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion.

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The function g(x) is defined as shown
NISA [10]

Answer:

-1

Step-by-step explanation:

- 2 \leqslant 0 < 1

g(x)=0-1=-1

8 0
4 years ago
Find a formula for the inverse of the function. f(x) = e^6x − 9
STatiana [176]

Answer:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

Step-by-step explanation:

So we have the function:

f(x)=e^{6x}-9

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

x=e^{6f^{-1}(x)}-9

Add 9 to both sides:

x+9=e^{6f^{-1}(x)}

Take the natural log of both sides:

\ln(x+9)=\ln(e^{6f^{-1}(x)})

The right side cancels:

\ln(x+9)=6f^{-1}(x)

Divide both sides by 6:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

And we're done!

7 0
3 years ago
Which expression is in simplified form for the given expression and states the correct variable restriction?
storchak [24]
(u^2 - 4) / (u-6)(u-2)

Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)

Simplification

 u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2)(u-2). So, you can write the expression as:

(u+2)(u-2) / (u-2)(u-6)

Simplify u -2 (because it appears in the numerator and the denominator)

(u + 2) / (u -6), with u ≠2 and u≠6
5 0
4 years ago
Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?
Komok [63]

Answer:

Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E

Step-by-step explanation:

The coordinates of rectangle D are:

(-1, 1)

(-1, 4)

(-3, 1) and

(-3, 4)

The rule of reflection across x-axis is given by:

(x, y) \rightarrow (x , -y)

(-1, 1) \rightarrow (-1 , -1)

(-1, 4) \rightarrow (-1 , -4)

(-3, 1) \rightarrow (-3 , -1)

(-3, 4) \rightarrow (-3 , -4)

Next, translate this 8 unit right which is given by:

(x, y) \rightarrow (x+8 , y)

(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)

(-1, -4) \rightarrow (-1+8 , -4) =(7, -4)

(-3, -1) \rightarrow (-3+8 , -1) =(5, -1)

(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)

⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.

Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E

5 0
3 years ago
Read 2 more answers
I have 15 overdue lessons in class. If each lesson takes 30min to and hour to do and I have 7-8 hours how many lessons could I g
Leokris [45]
About 4 if each is 30 mins
lol...
5 0
4 years ago
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