Find the 7th term of the expansion of (3c + 2d)^9.

Mathematics

1 answer:

defon2 years ago

5 0

Answer:

Step-by-step explanation:

Using Pascal's triangle, the expansion, although EXTREMELY lengthy, will help you find the 7th term. I am going to type out the expansion only up til the 7th term (although there are actually 10 terms because we are raised to the power of 9). If you would like to learn how to use Pascal's Triangle for binomial expansion, you will need to visit a good website that explains it because it's just too difficult to do it via this website.

The expasion is as follows (up to the 7th term):

$1(3c)^{9} +9(3c)^{8}(2d)^{1} +36(3c)^{7}(2d)^{2} +84(3c)^6(2d)^3+126(3c)^5(2d)^4+126(3c)^4(2d)^5+84(3c)^3(2d)^6$

That last term is the 7th term. You find out its value by multiplying all the numbers together and adding on the c^3d^6. Again those come from Pascal's triangle, and it's one of the coolest math things ever. I encourage you to take the time to explore how it works.

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If y = -10 -x, find y when x = -2

arlik [135]

Answer:

y = -8

Step-by-step explanation:

y = -10 - x

y = -10 - (-2)

y = -10 + 2

y = -8

8 0

2 years ago

Read 2 more answers

If 6/10 is multiplied by a fraction less than 1,which of these would be an answer 6/10,1/2,3/2,or 5

Pavlova-9 [17]

If $\frac{6}{10}$ is multiplied with a fraction less than 1, out of the given options $\frac{1}{2}$ would be the answer.

Explanation:

First, we need to determine what a fraction lesser than 1 is. If the numerator is lesser than the denominator, the fraction will be lesser than 1 whereas if the denominator is higher than the numerator is would equal more than 1.
If $\frac{6}{10}$ is multiplied with 1, we get the value $\frac{6}{10}$ . Since the fraction must be lesser than 1, $\frac{6}{10}$ cannot be an answer. So option 1 cannot be the answer.
The value of $\frac{6}{10}$ is 0.6. If it is multiplied with any value lesser than 1, the resulting value cannot be higher than the value of 0.6. The value of the fraction $\frac{3}{2}$ is 1.5 and the value of 5 are both greater than 0.6. So the third and fourth options cannot be the answer. So $\frac{1}{2}$ is the answer.