Ask question

Ask question

All categories

3 years ago

6

Find the difference between − 1/6 and − 9/10

1 answer:

MrRa [10]3 years ago

5 0

Answer:

Step-by-step explanation:

-1/6-(-9/10)

=-1/6+9/10

$=-\frac{1}{6}+\frac{9}{10}\\=\frac{-5+27}{30}\\=\frac{22}{30}\\=\frac{11}{15}$

You might be interested in

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

What multiple of 10 can be used to remove the decimals and fractions in this equation?

dezoksy [38]

Sorry, this was the answer to the wrong question, I'm very sorry for the inconvenience.

8 0

3 years ago

What's 9497÷16 as a whole number and remainder

brilliants [131]

Answer:

593 remainder 9

Step-by-step explanation:

Hi! If this helped please make this the brainliest answer, I'm on a goal to get 5 brainest answers, thanks!

5 0

4 years ago

Read 2 more answers

Simplify d+n+5d+6n=6n+7

fgiga [73]

Step-by-step explanation:

You can also solve for d instead.

5 0

2 years ago

In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.

gogolik [260]

Answer 4.3

Step-by-step explanation:

gave up on delta math

4 0

3 years ago