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3 years ago

Fundamental Counting Principle (L2)

Mathematics

2 answers:

galina1969 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

2^4

sukhopar [10]3 years ago

5 0

16 possible outcomes

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Write a polynomial function of least degree with integral coefficients that has the

frutty [35]

A polynomial function of least degree with integral coefficients that has the

given zeros $f(x)=x^4+x^3+9x^2+9x$

Given

Given zeros are 3i, -1 and 0

complex zeros occurs in pairs. 3i is one of the zero

-3i is the other zero

So zeros are 3i, -3i, 0 and -1

Now we write the zeros in factor form

If 'a' is a zero then (x-a) is a factor

the factor form of given zeros

$\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)$

Now we multiply it to get the polynomial

$x\left(x-3i\right)\left(x+3i\right)\left(x+1\right)\\x\left(x^2+9\right)\left(x+1\right)\\x\left(x^3+x^2+9x+9\right)\\x^4+x^3+9x^2+9x$

polynomial function of least degree with integral coefficients that has the

given zeros $f(x)=x^4+x^3+9x^2+9x$

Learn more : brainly.com/question/7619478

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3 years ago

108 divided 6 in distributive property

Damm [24]

There isn't really distributive property in division. The answer is 18.

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3 years ago

What may happen if a large number of computer users are attempting to access a Web site at the same time that you are

Doss [256]

Web sites cannot handle large amounts of requests, leading to a very slowed response.

7 0

3 years ago

How do I find a2 and a3 for the following geometric sequence? 54, a2, a3, 128

vlada-n [284]

The formula for the nth term of a geometric sequence:
$a_n=a_1 \times r^{n-1}$
a₁ - the first term, r - the common ratio

$54, a_2, a_3, 128 \\ \\
a_1=54 \\
a_4=128 \\ \\
a_n=a_1 \times r^{n-1} \\
a_4=a_1 \times r^3 \\
128=54 \times r^3 \\
\frac{128}{54}=r^3 \\ \frac{128 \div 2}{54 \div 2}=r^3 \\
\frac{64}{27}=r^3 \\
\sqrt[3]{\frac{64}{27}}=\sqrt[3]{r^3} \\
\frac{\sqrt[3]{64}}{\sqrt[3]{27}}=r \\
r=\frac{4}{3}$

$a_2=a_1 \times r= 54 \times \frac{4}{3}=18 \times 4=72 \\
a_3=a_2 \times r=72 \times \frac{4}{3}=24 \times 4=96 \\ \\
\boxed{a_2=72, a_3=96}$

7 0

3 years ago

Read 2 more answers

NO LINK ANSWERS

Temka [501]

Answer:

16 children and 11 adults

Equation 1: a + c = 27

Equation 2: 4a + c = 60

Step-by-step explanation:

3 0

3 years ago