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
dezoksy [38]
3 years ago
6

Dan saved $463 over the 12 weeks of summer break. He

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0

Answer:

166

Step-by-step explanation:

463-297=166

You might be interested in
I need help with this question pls
Andrej [43]

Answer:61.8°

Step-by-step explanation:

Length of arc=(theta)/360 x 2 x π x radius

9.7=(theta)/360 x 2 x 3.14 x 9

9.7=56.52(theta)/360

cross multiply

9.7 x 360=56.52(theta)

3492=56.52(theta)

Divide both sides by 56.52

3492/56.52=56.52(theta)/56.52

61.8=theta

theta=61.8°

7 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
1/23 to the thousandth power?
SVETLANKA909090 [29]
1/23 = 0.043

I hope this helps :)
5 0
3 years ago
Read 2 more answers
Kendrick takes a sheet of paper and makes a cut from corner to corner the cut he makes is 9 inches long the length of the paper
NNADVOKAT [17]

Answer:

Step-by-step explanation:

765

3 0
3 years ago
Which equation describes a line graphed above?
Cerrena [4.2K]

Answer:

C.y=-3x-3

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • A grocery store sells 5 bottles of water for $3 and 15 bottles of water for$8 is the cost of the water proportional to the numbe
    12·1 answer
  • If you work 8 hours, you earn $84. How much will you earn in 40 hours?
    13·2 answers
  • Simplify:6x+10y-3x-4y​
    9·2 answers
  • A dogs weight increased by 50% in 3 years by the end of 3 years the dog weighed 45 how much did the dog weigh 3 years ago
    8·1 answer
  • Henry purchased compact dkks for $112. The compact discs cost $16 each.
    15·1 answer
  • 3s4t + 3s3t – 6s2t I raised the points for this question, its hard I know but I need help!
    9·2 answers
  • The quotient of 14 and z
    8·1 answer
  • What does the A stand for in the star problem solving process
    9·1 answer
  • Use (x-3)^2 -6<br> to solve x^2-6x+3=0 <br> leave your answer in surd form
    11·1 answer
  • Which function has an inverse that is also a function? y = 3 2 - 5 3 y = 322 y= x - y = 322 – 5x + 3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!