All categories

2 years ago

Need help on this for brainliest

Mathematics

1 answer:

Arisa [49]2 years ago

7 0

Answer:

Your answer is letter d

Step-by-step explanation:

You might be interested in

What is the coefficient of x2y3 in the expansion of (2x + y)5?

Zigmanuir [339]

Option C:

The coefficient of $x^{2} y^{3}$ is 40.

Solution:

Given expression:

$(2 x+y)^{5}$

Using binomial theorem:

$(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}$

Here $a=2 x, b=y$

Substitute in the binomial formula, we get

$(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}$

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}$

$$+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}$

Let us solve the term one by one.

$$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}$

$$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y$

$$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}$

$$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}$

$$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}$

$$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}$

Substitute these into the above expansion.

$(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}$

The coefficient of $x^{2} y^{3}$ is 40.

Option C is the correct answer.

5 0

2 years ago

If 3*2=12,3*5=24and 15-6=3then 16/2=?<br>a.4<br>b.6<br>c.8<br>d.12

ser-zykov [4K]

Answer:

16 divided by 2 equals C which is 8.

Step-by-step explanation:

6 0

2 years ago

Please someone help me I will mark you has brainiest

Anna35 [415]

Answer:

i angle EFB

ii BFC and AFC

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

HELP PLEASE!! I NEED HELP ASAP!

Alex73 [517]

Answer:

4. A

5. B

Step-by-step explanation:

4. I'll solve question four first:

The two marked points on the line are (-2, -3)&(2, 5). Using the formula to find slope(y2-y1/x2-x1), substitute in the points.

5--3/2--2 or 8/4;simplified to 2/1 or 2.

Now use point-slope form: y-y1 = m(x-x1)

y--3 = 2(x--2): Substitute in the values of y1, m, and x1.

y+3 = 2x + 4: Distribute.

y = 2x + 1: Subtract three from both sides.

5. Do the same for question 5.

The first point is (-4, 2), the second point is (4, -1).

-1-2/4--4; -3/8.

Now use point-slope form:

y-2 = -3/8x -12/8: Substitute in the values of x1, y1, m, and distribute the slope to the parentheses.

y = -3/8x + 1/2

7 0

2 years ago

Which conversion requires division

denis23 [38]

Answer:

B , meters is smaller

B , grams is smaller

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers