3 years ago

What is the value of C?

Mathematics

2 answers:

vekshin13 years ago

8 0

Answer:

Step-by-step explanation:

Flauer [41]3 years ago

6 0

The answer is 2.

Explanation:

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Find the coefficient of the x^3 in the expansion of (2x-9)^5

il63 [147K]

Use the binomial theorem:

$\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}$

The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be

$\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}$

8 0

2 years ago

WORTH 80 POINTS HELP

vekshin1

Hi!

1. Your answer should be the first option. (It looks the best to me)

2. it is the last option because it's the only one that's identical to the original picture.

3. It should be the third option since there are 10cm on the top of the shape.

4. a total of 39

Hope that helps, good luck! :)

6 0

3 years ago

Read 2 more answers

Given g(x)=4-2(3-x), what is the value of g(1)

avanturin [10]

Answer:

g(1) = 0

Step-by-step explanation:

To evaluate g(1) , substitute x = 1 into g(x), that is

g(1) = 4 - 2(3 - 1)

= 4 - 2(2)

= 4 - 4