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3 years ago

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which expression shows the result of applying the distributive property to 12 (5y + 4) ? A. 60y + 48 B. 5y + 48 C. 17y + 16 D. 6

0y + 4. PLZ help fast

2 answers:

PSYCHO15rus [73]3 years ago

7 0

A because you just distribute the 12 to both

cupoosta [38]3 years ago

7 0

12(5y + 4) =
12 * 5y + 12 * 4 =
60y + 48
The answer is A

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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

Multiplying mixed numbers and whole numbers 1 1/2 x 2/1 =

Nezavi [6.7K]

Answer: 3

Step-by-step explanation:

1. Convert the mixed number to fraction:

- Multiply the denominator of the fraction by the whole number.

- Add the product obtained and the numerator of the fraction.

- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.

Then:

$1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}$

2. Multiply the numerators.

3. Multiply the denominator.

4. Reduce the fraction.

Then:

$(\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3$

5 0

3 years ago

bezimeni [28]

Answer:

26-4s=9s

26-(4s-9s)=0

26+5s=0

5s=-26

ans: s= -26/5

-3r+10=15r-8

-3r-15r=-8-10

-18r=-18

18r=18

ans: r=1

-9(t-2)=4(t-15)

-9t+18=4t-60

-9t-4t=-60-18

-13t=-78

13t=78

ans: t=26

THERE U GO! :D

5 0

2 years ago

Read 2 more answers

At a restaurant the bill for a family's dinner is $52.29. The family adds a tip of 15% of that cost.what is the amount of the ti

Setler [38]

Answer: The answer is $7.84 but that’s not a choice so I would go with $7.83

Step-by-step explanation:

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3 years ago

What is the length of x if all measurements are in cm? *

Galina-37 [17]

I saw that online look it up

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2 years ago