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
galina1969 [7]
2 years ago
12

write the restrictions that should be imposed on the variable for each of the following function. then find, explicitly, the dom

ain for each function and write it in the interval notation.
Mathematics
1 answer:
matrenka [14]2 years ago
3 0

By using the rules that the value inside square root can’t be negative and the denominator value can’t be zero, the domain for the given function is a) x<-1 and x>1  b) p≤1/2  c) s>-1.

I found the complete question on Chegg, here is the full question:

Write the restrictions that should be imposed on the variable for each of the following function. Then find, explicitly, the domain for each function and write it in the interval notation a) f(x)=(x-2)/(x-1)  b) g(p)=√(1-2p)  c) m(s)= (s^2+4s+4)/√(s+1)

Ans. We know that a number is not divisible by zero and number inside a square root can not be negative. In both the cases the outcome will be imaginary.

a) For this case the denominator x-1 can not be zero. So, x ≠1 and the domain is x<-1 and x>1.

b) For this case the value inside square root can’t be negative. So, p can’t be greater than 1/2 the domain is p≤1/2.

c) For this case also the value inside square root can’t be negative and the denominator value can’t be zero. So, s can’t equal or less than -1 and domain is s>-1.

Learn more about square root here:

brainly.com/question/3120622

#SPJ4

You might be interested in
What is 2/3 -1/5 (fractions)
butalik [34]

Answer:

7/15

Step-by-step explanation:

8 0
3 years ago
Box 1 contains 1000 lightbulbs of which 10% are defective. Box 2 contains 2000 lightbulbs of which 5% are defective. (a) Suppose
mojhsa [17]

Answer:

a) There is a 66.7% chance that you were given box 1

b) There is a 80% chance that you were given box 1

Step-by-step explanation:

To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.

a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.

Box 1 = 1/10

Box 2 = 1/2

From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%

b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.

Box 1 = 1/10^2 = 1/100

Box 2 = 1/20^2 = 1/400

As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%

3 0
3 years ago
a zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group. What
elena-14-01-66 [18.8K]

The largest group that can go to the zoo is 23 members

Step-by-step explanation:

The given is:

  • A zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group
  • We need to find the largest group that can go to the zoo and spend less than $155 on admission

Assume that the number of members in the group is x

∵ There are x members in the group

∵ The zoo charges an admission price of $85 for the first 12

   members of a group and $6 for each additional member

   of the group

- Take 12 members from x and multiply the rest members by

   6 and then add 85 to the product

∴ The group will spend = 6(x - 12) + 85

∵ The group wants to spend less than 155 to go to the zoo

- use the symbol < between the expression above and 155

∴ 6(x - 12) + 85 < 155

- Simplify the left hand side

∴ 6x - 72 + 85 < 155

- Add like terms in the left hand side

∴ 6x + 13 < 155

- Subtract 13 from both sides

∴ 6x < 142

- Divide both sides by 6

∴ x < 23.67

- Take the largest integer less than 23.67

∵ 23 is the largest integer less than 23.67

∴ The group has 23 members

The largest group that can go to the zoo is 23 members

Learn more:

You can learn more about the inequalities in brainly.com/question/1465430

#LearnwithBrainly

6 0
3 years ago
Draw a triangles with sides of 9 cm, 7 cm, and 5 cm. Find its perimeter
IceJOKER [234]

The perimeter is 21 cm.

thanks

6 0
3 years ago
Read 2 more answers
Helppppp!! im confused lol
Lady bird [3.3K]

Answer:

a

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • In the circle below which line represents the circles radius?
    7·1 answer
  • What number is divisible by ?<br> 2 3 5 or 10 <br><br> a)130<br> b)123<br> c)555<br> d)5564
    13·1 answer
  • Which of the following is the correct order in which to do mathematical operations?
    13·2 answers
  • (10) Chuck's coin box contains only pennies and
    10·1 answer
  • The original price of a jar of paint is$1.20 the store manager gets a 10 percent discount on orders of at least 50 jars of paint
    12·1 answer
  • What is the day of Christmas
    12·2 answers
  • What is the area of a triangle with the perimeter of, 15cm, 19cm, and 12cm?
    11·1 answer
  • The distance between two cities on a map is 3.25 centimeters. The map used a scale in which 1 centimeter represents 20 kilometer
    8·1 answer
  • Jose bought a piece of fabric that was 5.6 meters long. From that, he cut 0.4
    10·2 answers
  • You are working for a catering company and have
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!