Hello please answer ASAP i will give brainliest.

Mathematics

2 answers:

castortr0y [4]2 years ago

8 0

Answer:B

Explanation:

iragen [17]2 years ago

7 0

Answer:

Step-by-step explanation:

There is a pattern. Subtract input from output and it is 11. So, if 11 is the pattern. subtract 51 from A,B,C, and D.Till one of them has the number 11 as answer. 51- 40=11. 40 = B

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If y/z=4/7, then z/y=

topjm [15]

Answer:

z/y = 7/4

Step-by-step explanation:

In y/z = 4/7, the numerator and denominator correspond with each other

So, y =4 and z = 7

5 0

2 years ago

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

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