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3 years ago

What is the binomial expansion of (2x – 3)^5?

Mathematics

2 answers:

Tanya [424]3 years ago

7 0

Answer:

Step-by-step explanation:

(2x + 3)^5 = C(5,0)2x^5*3^0 +

C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5

Recall that

C(n,r) = n! / (n-r)! r!

C(5,0) = 1

C(5,1) = 5

C(5,2) = 10

C(5,3) = 10

C(5,4) = 5

C(5,5) = 1

= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5

= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243

= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243

= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243

kaheart [24]3 years ago

4 0

Answer:

the answer is C

Step-by-step explanation:

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A population of 3000 people doubles in size every 10 years. Determine the population after 50 years.

RUDIKE [14]

Answer:

In 50 years Population is 96000 people.

Step-by-step explanation:

Let population be x

In the first 10 years

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In 20 years it becomes 4x

In 10n years it becomes 2^n x

Therefore

for n= 5

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= 32(3000)

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Hope it helps...

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3 years ago

The population of a species of rabbit triples every year. This

jok3333 [9.3K]

Answer:

"4" represents that there are 4 rabbit in the beginning.

Step-by-step explanation:

Given that the population of a species of rabbit triples every year. This

can be modeled by function $f\left(x\right)=4\left(3\right)^x$ and $f(5) = 972$ .

Now we need to find about what does the 4 represent in the given function.

We know that exponential function is given by $f\left(x\right)=a\left(b\right)^x$ . Where "a" represents the initial amount.

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2 years ago

You have a Rectangle with sides of 5ft and 8ft; solve for its perimeter and area.

Nezavi [6.7K]

Answer:

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Step-by-step explanation:

pretty sure :)

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2 years ago