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4 years ago

13

16 2/3% of 21.6 is?

1 answer:

soldier1979 [14.2K]4 years ago

7 0

Answer:

21

Step-by-step explanation:

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Construct x such that a/x= x/b

jenyasd209 [6]

$\frac{a}{x} = \frac{x}{b}$

From there we can see that because x equals both to a and b, it must be that a = b.

8 0

3 years ago

If A = {1, 2, 4} and B = {2, 4, 6, 8, 10}, find A ∪ B.

AveGali [126]

Answer:

B) {1, 2, 4, 6, 8, 10}.

I hope this helps.

7 0

3 years ago

Read 2 more answers

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i? f(x) = x2 – 2x + 2 f(x) = x3 – x

konstantin123 [22]

Answer:

$f(x)=x^{3}-3x^{2} +4x-2$

Step-by-step explanation:

we know that

The <u><em>conjugate root theorem</em></u> states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial

In this problem we have that

The polynomial has roots 1 and (1+i)

so

by the conjugate root theorem

(1-i) is also a root of the polynomial

therefore

The lowest degree of the polynomial is 3

so

$f(x)=a(x-1)(x-(1+i))(x-(1-i))$

Remember that

The leading coefficient is 1

so

a=1

$f(x)=(x-1)(x-(1+i))(x-(1-i))\\\\f(x)=(x-1)[x^{2} -(1-i)x-(1+i)x+(1-i^2)]\\\\f(x)=(x-1)[x^{2} -x+xi-x-xi+2]\\\\f(x)=(x-1)[x^{2} -2x+2]\\\\f(x)=x^{3}-2x^{2} +2x-x^{2} +2x-2\\\\f(x)=x^{3}-3x^{2} +4x-2$

5 0

4 years ago

Read 2 more answers

Noah has a collection of 2,500 stamps. Of the stamps in Noah’s collection, 30% show U.S. presidents, 45% show animals, and the r

navik [9.2K]

Based on the total amount of stamps that Noah has, we can calculate that those showing famous athletes number<u> 625 stamps. </u>

The percentage that shows famous athletes is:

<em>= 100% - U.S. Presidents - animals </em>

= 100% - 30% - 45%

= 25%

With a collection of 2,500 stamps, the number that is for famous athletes is:

= 2,500 x 25%

= 625 stamps

In conclusion, 625 stamps show famous athletes.

<em>Find out more at brainly.com/question/25296416. </em>

6 0

3 years ago

State whether each of the following sets of data are possible for the matrix equation AX = B. If possible, describe the solution

nasty-shy [4]

Answer:

(A) Possible, the system will always have infinite solutions.

(B) Impossible.

(C) Impossible.

(D) Possible, there is no solutions.

(E) Possible, unique solution.

Step-by-step explanation:

(A) It possible, for example consider

$\left[\begin{array}{cccccc|c}1&0&0& 0 & 0& 0& 0\\0&1&0&0 & 0 & 0 & 0\\0&0&1&0 & 0 & 0& 0\\0&0&0&1 & 0 & 0& 0\\0&0&0&0& 0 & 0& 0\end{array}\right]$

in this case, the system will always have infinite solutions (there at most two variable that could take any valour).

(B) It is impossible because $rank[A|B] \ge 3$ .

(C) It is impossible because $rank(A) \le 2$ .

(D) It is possible, for example consider

$\left[\begin{array}{ccccc|c}1&0&0& 0 & 0& 0\\0&1&0&0 & 0 & 0 \\0&0&1&0 & 0 & 0\\0&0&0&1 & 0 & 0\\0&0&0&0& 0 & 1\end{array}\right]$

but in this case there is no solutions.

(E) It is possible, for instance, consider

$\left[\begin{array}{cc|c}1&0&0\\0&1&0\\0&0&0\\0&0&0\end{array}\right]$

Now, if this is the case there exists a unique solution.

3 0

3 years ago