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Snowcat [4.5K]
2 years ago
13

Which function is shown in the graph below?

Mathematics
2 answers:
timofeeve [1]2 years ago
8 0
What are the other options..?
kirill115 [55]2 years ago
5 0
Imma go with the second bubble shown
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To calculate the area of a circle, you may use a formula. True False
Whitepunk [10]

Answer:

True

Step-by-step explanation:

The formula for an area of a circle is a = pi times radius squared

5 0
3 years ago
Read 2 more answers
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
Totsakan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 adult tickets and 8
Nastasia [14]

Answer:

Each ticket cost $13

Step-by-step explanation:

Day 1-- 1 adult and 8 child ticket= Total of 9 tickets = $117

Day 2--6 adult and 8 child ticket= Total of 14 = $182

Brainliest please :)

6 0
3 years ago
Simplify.<br><br> 15 20 24+20
WINSTONCH [101]

Answer:

-5 divide by 28

Step-by-step explanation:

so the question supposed be " 15-20 divided by 2(4) + 20

15-20 which is also 15 + (-20)= -5

2(4)=8, 8+20=28

so it can simplify into -5 / 28

(hope it helps :)

5 0
2 years ago
How do you find the total sum of squared values?
tester [92]

Answer:

Step-by-step explanation:

\sum^{12}_{r=1} r^2 = \frac{12(12+1)(2*12+1)}{6}= A

\sum_{r=3}^{12}= \sum_{r=1}^{12} - (r_1+r_2)

r_1= 1^2

r_2= 2^2

you do your math!!

7 0
3 years ago
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