Help!<br> Algebraic Relationship <br> y= x/4-1

Consider the expansion of (x + 2y)^10. Determine the coefficients for the terms with the powers of x and y shown.

julsineya [31]

Answer with Step-by-step explanation:

We are given that an expression

$(x+2y)^{10}$

Binomial expansion o f $(x+y)^n$ is given by

= $nC_0 x^n+nC_1x^{n-1}y^1+nC_2x^{n-2}y^2+nC_3x^{n-3}y^3+... nC_n y^n$

a. We have to find the coefficient of $x^2y^8$

$(x+2y)^{10}=10C_0x^{10}+10C_1x^9(2y)+10C_2x^8(2y)^2+10C_3x^7(2y)^3+...+10C_{10}(2y)^{10}$

Term is $10C_8x^(2y)^8$

Coefficient = $10C_8\cdot 2^8$

b.Term in which $x^4y^6$ is $10C_6x^4(2y)^6$

Coefficient = $10C_4\cdot 2^6$

c.We have to find the coefficient of $x^5y^5$

Term is $10C_5x^5(2y)^5$

Coefficient = $10C_5\cdot 2^5$

7 0

2 years ago

Read 2 more answers

Jamie made 8 1 / 4 cups of fruit punch for a party.Her guests drank 2/3 of the punch .How much fruit punch did her guests?

Katen [24]

You can find a common demominator and then change 8 1/4 into a mixed number and just subtract

7 0

3 years ago

Two tourists went on a hike at dawn. One went from a to b and another one went from b to a. They met at noon but did not stop an

Alecsey [184]

<span>Dawn was at 6 am. Variables a = distance from a to passing point b = distance from b to passing point c = speed of hiker 1 d = speed of hiker 2 x = number of hours prior to noon when dawn is The first hiker travels for x hours to cover distance a, and the 2nd hiker then takes 9 hours to cover that same distance. This can be expressed as a = cx = 9d cx = 9d x = 9d/c The second hiker travels for x hours to cover distance b, and the 1st hiker then takes 4 hours to cover than same distance. Expressed as b = dx = 4c dx = 4c x = 4c/d We now have two expressions for x, set them equal to each other. 9d/c = 4c/d Multiply both sides by d 9d^2/c = 4c Divide both sides by c 9d^2/c^2 = 4 Interesting... Both sides are exact squares. Take the square root of both sides 3d/c = 2 d/c = 2/3 We now know the ratio of the speeds of the two hikers. Let's see what X is now. x = 9d/c = 9*2/3 = 18/3 = 6 x = 4c/d = 4*3/2 = 12/2 = 6 Both expressions for x, claim x to be 6 hours. And 6 hours prior to noon is 6am. We don't know the actual speeds of the two hikers, nor how far they actually walked. But we do know their relative speeds. And that's enough to figure out when dawn was.</span>

8 0

3 years ago

PLEASEEEE 100 POINTS AND BRAINLIEST PLEASEE HELPP ASAPPPPPPPPP!!!!! THANKS <3333

castortr0y [4]

Answer:

2 5 7

Step-by-step explanation:

hopefully it helps sorry if it wrong

8 0

2 years ago

Can you please help me and explain this in a way that I can understand

melomori [17]

Answer:

180 Degrees

Step-by-step explanation:

So, m∠1 = m∠2 = m∠3 means that these angles are the same degrees

The question asks whats the degree of m∠CDG so first we find those points. In this image, it looks like points C,D and G form a line which is also equivalant to 180.

I hope you understand! If not, i'll try to elaborate more

3 0

3 years ago

Help! Algebraic Relationship y= x/4-1