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3 years ago

HELP beautiful people that know how to do these problems <3

Mathematics

1 answer:

kenny6666 [7]3 years ago

8 0

The answers are:

1. $4 + b$

2. $8(x + 3)$

3. $25 + 1.5d$

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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

Answer:

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

Solution:

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

3 years ago

What’s equivalent (2x^5)^3

Over [174]

Answer:

8x^15

Step-by-step explanation:

(2x5)3

=(2x5)3

=2x5*2x5*2x5

=8x15

6 0

3 years ago

Solve for the value of the variable: 7x+ 10 = 4x + 16 Enter the answer

IRISSAK [1]

Step-by-step explanation:

7x + 10 = 4x + 16

3x + 10 = 16 (subtract 4x on both sides)

3x = 6 (subtract 10 on both sides)

x = 2 (divide 3 on both sides)

5 0

2 years ago

Weight: How many grams does a 5 lb 15 oz roast weigh?The roast weighsgrams.

natulia [17]

Since 1kg = 2.20 lb,

$\frac{1\operatorname{kg}}{2.20\text{ lb}}$

Since 1kg = 1000g

$\frac{1000\text{ g}}{1\operatorname{kg}}$

So for covering pounds to gram by the following factor

$\frac{1\operatorname{kg}}{2.20\text{ lb}}\frac{1000\text{ g}}{1\operatorname{kg}}$

Since 1oz = 28.3g

$\frac{28.3\text{ g}}{1\text{ oz}}$

Now

$5\text{ lb}\frac{1000\text{ g}}{2.20\text{ lb}}+15\text{ oz}\frac{28.3g}{1\text{ oz}}$

The weight in grams would be

2697.22 gr

5 0

11 months ago

Solve x-5y=17 for y?

damaskus [11]

Answer:

Y = 12.

Explanation: Because 17- 5 is 12 and when you are doing problems like that, you are supposed to subtract the number behing the equal sign with the number in front of the equal sign. So, that would be 17- 5. And that gives you 12. So, Y=12.

6 0

3 years ago