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3 years ago

My friend needs help with this can someone help

Mathematics

1 answer:

Sergio039 [100]3 years ago

3 0

Answer:Sorry

Step-by-step explanation:

Hi would help but i dont know and im not in collage sorry.

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Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?

FrozenT [24]

Answer:

Step-by-step explanation:

The two numbers are 3 and 7, and 3 is the smaller one

6 0

3 years ago

Read 2 more answers

The question says find the circumference of the circle<br><br><br> I’m the circle it’s written 12cm

lord [1]

Answer:

37.69

Step-by-step explanation:

Since the diameter is 12, the Radius is 6

Circumference equation: 2pi(r)

So we plug it in

2pi(6)

That gives us 37.699

If you need to round, then it would be 37.7.

I really hope this helps!!!

6 0

3 years ago

36% of 112= what because I’m so confused

Gennadij [26K]

Answer:

40.32

Step-by-step explanation:

112 ÷ 100 = 1.12

1.12 × 36 = 4.032

6 0

3 years ago

Express each number in standard form.

Vitek1552 [10]

a) 1,000 + 0 + 40 + 9

b) 40,000 + 3,000 + 800 + 70 + 0

c) 8,000,000 + 100,000 + 5

3 0

3 years ago