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
sergeinik [125]
3 years ago
5

Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group,

and there were 5 girls for each boy. Determine the number of girls in the
original group.
Mathematics
1 answer:
statuscvo [17]3 years ago
5 0
Sorry i cant answer this way too hard for me
You might be interested in
What is the maximum value of 13.7 when rounding to the nearest tenth
Ostrovityanka [42]
14 because the decimal place has to be greater than 5. If it's above you round up, below you round down.
5 0
3 years ago
Find a factorization of x² + 2x³ + 7x² - 6x + 44, given that<br> −2+i√√7 and 1 - i√/3 are roots.
Levart [38]

A factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

<h3>What are the properties of roots of a polynomial?</h3>
  • The maximum number of roots of a polynomial of degree n is n.
  • For a polynomial with real coefficients, the roots can be real or complex.
  • The complex roots of a polynomial with real coefficients always exist in a pair of conjugate numbers i.e., if a+ib is a root, then a-ib is also a root.

If the roots of the polynomial p(x)=ax^4+bx^3+cx^2+dx+e are r_1,r_2,r_3,r_4, then it can be factorized as p(x)=(x-r_1)(x-r_2)(x-r_3)(x-r_4).

Here, we are to find a factorization of p(x)=x^4+2x^3+7x^2-6x+44. Also, given that -2+i\sqrt{7} and 1-i\sqrt{3} are roots of the polynomial.

Since p(x)=x^4+2x^3+7x^2-6x+44 is a polynomial with real coefficients, so each complex root exists in a pair of conjugates.

Hence, -2-i\sqrt{7} and 1+i\sqrt{3} are also roots of the given polynomial.

Thus, all the four roots of the polynomial p(x)=x^4+2x^3+7x^2-6x+44, are: r_1=-2+i\sqrt{7}, r_2=-2-i\sqrt{7}, r_3=1-i\sqrt{3}, r_4=1+i\sqrt{3}.

So, the polynomial p(x)=x^4+2x^3+7x^2-6x+44 can be factorized as follows:

\{x-(-2+i\sqrt{7})\}\{x-(-2-i\sqrt{7})\}\{x-(1-i\sqrt{3})\}\{x-(1+i\sqrt{3})\}\\=(x+2-i\sqrt{7})(x+2+i\sqrt{7})(x-1+i\sqrt{3})(x-1-i\sqrt{3})\\=\{(x+2)^2+7\}\{(x-1)^2+3\}\hspace{1cm} [\because (a+b)(a-b)=a^2-b^2]\\=(x^2+4x+4+7)(x^2-2x+1+3)\\=(x^2+4x+11)(x^2-2x+4)

Therefore, a factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

To know more about factorization, refer: brainly.com/question/25829061

#SPJ9

3 0
1 year ago
Read 2 more answers
Help worth a lot of pounts
Anton [14]

Answer:

See below.

Step-by-step explanation:

Let x = amount of money you have in your account.

The money in your account plus the $125 extra that you need equals the total cost of the computer.

The equation is:

x + 125 = 2250

Now we solve the equation by subtracting 125 from both sides.

x = 2125

Answer: You have now $2125 in your account

7 0
3 years ago
Read 2 more answers
Convert 17⁄8 to a decimal, rounded to the nearest hundredth. A. 2.13 B. 2.44 C. 1.78 D. 1.14
11111nata11111 [884]
Hey there! :)

All you have to do is divide the numerator(top number) by the denominator(bottom number).

17 ÷ 8 = 2.125

Rounded to the nearest hundredth = 2 places after the decimal point.

After the 2 is a 5. If it's 5 or greater, you move it up by 1.

2 + 1 = 3

2.125 = 2.13

Your answer is A ⇒ 2.13

Hope this helps :)


3 0
3 years ago
A school uniform for boys consists of black or gray slacks, a short-sleeve or long-sleeve white button-down shirt, and a red, bl
sdas [7]
If I am right the answer would be 6
3 0
3 years ago
Other questions:
  • Is someone can help me please please i will give 20 points please
    11·1 answer
  • The polygons below are similar. Find the value of z.
    9·2 answers
  • Find an irrational number that is between 7.7 and 7.9. explain why it is irrational. Include the decimal approxinlmation of the
    10·1 answer
  • GIVING OUT BRAINLIEST TO THE FIRST PERSON TO ANSWER!!
    8·2 answers
  • The sales tax in the town where Amanda lives is 7%. Amanda paid $28 in sales tax on a new stereo. What was the price of the ster
    10·1 answer
  • Colin buys a box of pasta that contains 823 cups of pasta. He uses 212 cups to make dinner. How much pasta is left?
    12·1 answer
  • (09.07 LC) In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known
    13·1 answer
  • Elliot purchased 3 trick cameras and 4 fake snakes and spent a total of $40. Kaci bought 7 trick cameras and 8 fake snakes, and
    15·1 answer
  • The yearly cost of a life-saving cancer
    12·1 answer
  • A baker bakes 48 dozen doughnuts each morning. She sells 18 dozen
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!