1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna [14]
2 years ago
7

Perform the operation and state the domain.

Mathematics
1 answer:
irakobra [83]2 years ago
4 0
I tried but I’m sorry I couldn’t get it
You might be interested in
Evaluate: n + 8² if n = 2
Papessa [141]

Answer:

It would be 66

Step-by-step explanation:

6 0
3 years ago
How can you determine if a function is linear or nonlinear from the graph of the function???
Romashka-Z-Leto [24]
A linear function<span> is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the </span>graph<span> of the line crosses the y axis. You will notice that this </span>function<span> is degree 1 meaning that the x variable has an exponent of 1.</span>
6 0
3 years ago
1. In how many different ways can 5 people be seated at a round table?
Alexeev081 [22]
1. 

Assume the people A, B, C, D and E are sitting in a row.

since there are 5 positions, they can sit in 5*4*3*2*1=120 ways.

consider 1 certain sitting position, for example ABCDE, that is B has A to his right, C to his left. D has C to his right and E to his left. And so on.

the positions 

ABCDE
BCDEA
CDEAB
DEABC
EABCD

while in a row are different positions, in a round table they are the same thing.

(read the letters starting from A, and when the letters finish, continue reading from the beginning of the row. They all read "ABCDE")

This means that any arrangement in a round table, is converted to 5 arrangements in a row.

So there are in total  \frac{5!}{5}=4*3*2*1=24 arrangements of 5 people around a table.

2. check picture.

Consider the case where A is at (2, 2) and B is at (5, 6)

A can move to B through 3 horizontal units to the right, we call them E (for East) and 4 vertical units up, which we call N (for north).

the total path is 7 units.

it can be done in several ways, for example:

ENNNENE (the red path shown in the figure)
NNEEENN (the black path shown in the figure)

In total there are 
\frac{7!}{3!*4!}= \frac{7*6*5*4!}{3!*4!}= \frac{7*6*5}{3!}= 35 paths.

Remark: 7! is the number of arrangements if the letters were different. We divide by 3! because of the 3 E's and 4! because of the 4 N's. 

Another possibility could be A'(3, -5), B'(8,-3).

From A' to B' we go by a total of 5 E and 2 N, so there are 

\frac{7!}{2!*5!}= \frac{7*6*5!}{2!*5!}= \frac{7*6}{2}= 42 paths in total.
there is one more possibility
\frac{7!}{1!(6!)}=7

C.

a) consider the letters {V,E,C,T,O,R}

we can form 6*5*4*3*2*1=720 words, as the first digit can be any of the 6 letters, combined with 5 for the second letter and so on.

b) the difference with a is that we have 5 letters and we have 2 T.

we have in total 5*4*3*2*1=120 arrangements of these letters, if the 2 T's were considered as separate.

consider the arrangements:

T_1RUST_2 and T_2RUST_1.

We read bth as just TRUST, but the permutation formula 5*4*3*2*1 considers these as 2 different.

this is why we need to divide 120 by 2, to get the actual number of words that can be formed. So the number is 60.

Answers:

1) 24

2) 7, 35 or 42. it depends on the positions of A and B, check the solution

3) a-720, b-160
 

8 0
3 years ago
What’s the correct answer for this question?
Katyanochek1 [597]

Answer:

Step-by-step explanation:

ΔABC ≅ΔFDE. So corresponding side and angles are equal.

∠ACB = ∠FED

∠ACB = 34.7

7 0
3 years ago
Read 2 more answers
I need help i attached this image
LenKa [72]

Answer:

k = -7

Step-by-step explanation:

Find the difference of the y-values of both vertexes:

f(x): y = 1

g(x): y = -6

g(x) - f(x)

-6 - 1 = -7

8 0
2 years ago
Other questions:
  • An element with a mass of 630 grams decays by 30% per minute. To the nearest minute, how long will it be untill there are 30 gra
    11·1 answer
  • What is the polar form of the equation? x^2+(y+5)^2=25
    15·1 answer
  • 17/64 + 47/64 + 7/8 =<br>B.<br>1/16<br>134<br>151/64<br>1%<br>D.​
    10·1 answer
  • How much do u need to subtract from 41/6 to make 6
    9·1 answer
  • Which ordered pair is a solution of the equation? y-3=5(x-2) A.) (2,3) B.) (3,2) C.) Both D.) Neither
    14·1 answer
  • Steve, 18 years old, is three times as old as his brother Daniel. How old will Steve be when he will be twice as old as Daniel?
    11·1 answer
  • What is the answer for the question 24/p=4
    8·2 answers
  • 3/5 of a number is 21.<br> Find the number.
    6·1 answer
  • A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
    11·1 answer
  • A simple random sample of 40 recorded speeds (in mi/h) is obtained from cars traveling on a specific highway. The sample has a m
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!