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3 years ago

6

What are the domain and Range of f(x)=Log(x+6)-4

1 answer:

Dominik [7]3 years ago

5 0

$f(x)=\log(x+6)-4\\\\\text{The domain:}\\x+6 \ \textgreater \ 0\to x \ \textgreater \ -6\to x\in(6;\ \infty)\\\\\text{the range of}\ y=\log x\ \text{is}\ \mathbb{R}\\\text{and the range of}\ y=\log(x+6)\ \text{is}\ \mathbb{R}\\\text{and the range of}\ f(x)=\log(x+6)-4\ \text{is}\ \mathbb{R}$

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Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

$n(S) = n(s) + n(S \cap F)$

In which n(s) are those who are succeful but not freshmen and $n(S \cap F)$ are those who are succesful and freshmen.

By the same logic, we also have that:

$n(F) = n(f) + n(S \cap F)$

The union is:

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

In which

$n(S \cup F) = 58$

$n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)$

$n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)$

So

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

$58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)$

$n(S \cap F) = 24$

So the correct answer is:

b) 24

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3 years ago

How many cubic centimeters of water can this paper cone cup hold?

Solnce55 [7]

Answer:

124

Step-by-step explanation:

because yes

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3 years ago

Define a variable, write an equation and SOLVE the equation. Sandy had

notka56 [123]

The answer is 21 because 189 divided by 9 is 21

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2 years ago

Read 2 more answers

Find the mode of the data set

SashulF [63]

Answer:

Rock-4

Country-6

Hip Hop-5

pop-3

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hope this helps

have a good day :)

Step-by-step explanation:

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3 years ago

Stephanie puts 30 cubes in a box. each cube is 1/2 an inch on each side. The box holds 2 layers of 15 cubes. what is the volume

Serhud [2]

Answer:

3.75 cubic inches

Step-by-step explanation:

Volume = length x breadth x height

since the box holds 2 layers of 15 cubes

length contains 5 cubes= 5x1/2 inches=2.5 inches

breadth contains 3 cubes=3x1/2inches=1.5 inches

height contains 2 cubes=2x1/2inches=1.0 inches

Volume=2.5x1.5x1.0=3.75 cubic inches

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3 years ago