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Aleks04 [339]
2 years ago
12

The population of a particular country was 26 million in 1981; in 1990, it was 31 million. the exponential growth function descr

ibes the population of this country t years after 1981. use the fact that 9 years after 1981 the population increased by 5 million to find k to three decimal places.
Mathematics
1 answer:
yuradex [85]2 years ago
5 0
Just use syblol it is verygood for varible form 
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There are _ total possible outcomes.
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Answer:

20 possible outcomes

Step-by-step explanation:

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The quadrilaterals ABBCD<br> and PQRS<br> are similar. <br> Find the length <br> of X<br> .
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3÷3.6=5/6

4÷5/6=4.8

x=4.8
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2 years ago
Write a polynomial of degree 5 with zero x=0,i square root 7, -2i
professor190 [17]

Answer:

P(x)=x^5+11x^3+28x

Step-by-step explanation:

<u>Roots of a polynomial</u>

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}

Let's build up the polynomial, assuming a=1:

P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})

Since:

(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2

P(x)=(x)(x^2+7)(x^2+4)

Operating the last two factors:

P(x)=(x)(x^4+11x^2+28)

Operating, we have the required polynomial:

\boxed{P(x)=x^5+11x^3+28x}

7 0
2 years ago
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