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4 years ago

What is the domain of the following function?

Mathematics

1 answer:

Vinvika [58]4 years ago

6 0

Answer:

the domain is all real numbers except x=3

Step-by-step explanation:

The domain is the values that x can take

X can be all real number except when the denominators equal zero

x-3 ≠ 0

x≠3

the domain is all real numbers except 3

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Need help with this problem.

tigry1 [53]

Answer:

C) $-\frac{47}{49}$

Step-by-step explanation:

By the cos double angle formula, we know $\cos(2\theta)=2\cos^2\theta-1.$ Substituting $\cos \theta$ into the formula, we get

$\cos(2\theta)=2(-\frac{1}{7})^2-1\\~~~~~~~~~~=\frac{2}{49}-1\\~~~~~~~~~~=\boxed{-\frac{47}{49}}$ .

The answer is C.

5 0

3 years ago

A pencil and a ruler cost 2.50 together. The ruler costs $1.00 more than the pencil. How much is the pencil

Alenkasestr [34]

P + r = 2.50
r = p + 1

p + p + 1 = 2.50
2p + 1 = 2.50
2p = 2.50 - 1
2p = 1.50
p = 1.50/2
p = 0.75 <=== pencil cost 75 cents

r = p + 1
r = 0.75 + 1
r = 1.75 .....ruler cost 1.75

6 0

3 years ago

Read 2 more answers

The following two-way table describes student's after school activites. Find the probability that a randomly selected student is

stiv31 [10]

The probability that a randomly selected student is in music/drama is 25%

<h3>How to determine the probability?</h3>

From the table, we have the following values

Music/Drama = 7 + 13 + 5 = 25

Total = (20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5) = 100

The probability is then calculated as:
P = Music/Drama / Total

So, we have:

P = 25/100

Express as percentage

P = 25%

Hence, the probability that a randomly selected student is in music/drama is 25%

Read more about probability at:

brainly.com/question/251701

#SPJ1

4 0

2 years ago

A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,

Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

$People = 12$

$Selection =3$ (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$n = 12$

$r= 3$

So, we have:

$^nC_r = \frac{n!}{(n - r)!r!}$

$^{12}C_3 = \frac{12!}{(12 - 3)!3!}$

$^{12}C_3 = \frac{12!}{9!3!}$

$^{12}C_3 = \frac{12*11*10*9!}{9!3!}$

$^{12}C_3 = \frac{12*11*10}{3!}$

$^{12}C_3 = \frac{12*11*10}{3*2*1}$

$^{12}C_3 = \frac{12*11*10}{6}$

$^{12}C_3 = 2*11*10$

$^{12}C_3 = 220\ ways$

<em>There are 220 choices</em>

8 0

3 years ago

Which inequality represents the statement? The ages (a) of s group of travelers all exceeded 17 years and were no more then 54 y

klasskru [66]

Answer:

The inequality that represents the age of the group, "x", is: $17 < x \leq 54$

Step-by-step explanation:

To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

$x > 17$

While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:

$x\leq 54$

In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:

$17 < x \leq 54$

7 0

3 years ago