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
Nastasia [14]
3 years ago
14

6 times a number is 27 less than the square of that number. Find the positive solution.

Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Let x = your number.

6x = x^2 - 27. Subtract 6x from each side.

0 = x^2 - 6x - 27. Factor

0 = (x-9) (x+3). Set each term equal to zero

(x+3) = 0. Subtract 3 from each side.

x = -3. This is the negative solution.

(x-9) = 0. Add 9 to each side.

x = 9. This is the positive solution.

You might be interested in
please ingore wirthing im struggleing and thats all that is but i need help i didnt catch range and i cant figure it out
dimulka [17.4K]

Hello from MrBillDoesMath!


Answer:    

       Domain restriction:  -3  <= x <= 0

       Range restriction:    -4 <= y <= 0

Discussion

These numbers came directly from the graph. I am assuming the endpoints such as x = -3 are included in the domain.

Regards, MrB

6 0
3 years ago
Mrs. Henderson wants to put wallpaper border around her living room the room is 18 ft by 22 ft. How many feet of border are need
irga5000 [103]
If I am understanding the question, and assuming the living room is a rectangle, then the border should be 80 ft
8 0
3 years ago
If the top of Mt. Everest is 29,035 ft and Death Valley in California at it's lowest point is negative 282 ft. What is the diffe
Yakvenalex [24]

Answer: 29317

Step-by-step explanation:

3 0
3 years ago
Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

6 0
3 years ago
Mica is making a paste for an art project. He mixes 8 cups of water with glue. If he wants to make a double batch how many quart
dusya [7]

He needs one more quart. That is half of a gallon.

8 0
2 years ago
Other questions:
  • Item 4 Evaluate. 6^2+(3⋅4)− 2^4
    12·2 answers
  • What is −20÷4/5<br> ?<br><br> −25<br><br> −16<br> −116<br> −125
    11·1 answer
  • The sum of 5 and the twice a number is at most 27
    15·1 answer
  • Grandpa Ross won $4.5 million in a lottery. He wanted to give the money to his 4 children and 8 grandchildren. He decided that e
    9·1 answer
  • Can someone help me with this?
    6·1 answer
  • Olivia needs 54 licks for every 3 lollipops she eats.
    13·2 answers
  • If a watch costs $40 and you must pay 6.5 % sales tax, how much will the tax be?
    8·1 answer
  • BYE EBYE BUE BYE BYE BYE BYE BYEWhat Bye.
    9·1 answer
  • The term magnet describes any material that attracts
    6·2 answers
  • Which of the following shows the correct work and solution to the exponential equation 5x - 1=25
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!