All categories

3 years ago

Find the coefficient of the x7y2term in the binomial expansion of (x+y)^9

Mathematics

1 answer:

statuscvo [17]3 years ago

8 0

Answer:

Step-by-step explanation:

first, see the formula in the attached picture.

now, by applying that formula we get :

the coefficient of the x7y2 is :

9C7 = 36 (you can either use a calculator or just the algebraic formula)

You might be interested in

What is the common denominator of 1/a + 1/b in the complex fraction 1/a - 1/b over 1/a+1/b?

9966 [12]

Answer:

For this case we have the following fraction:

To find the common denominator, what we must do is rewrite the fraction.

For this, we subtract fractions in the numerator and the sum of fractions in the denominator.

We have then:

We observe that the common denominator is given by the product:

Answer:

the common denominator is:

D)ab

Step-by-step explanation:

4 0

2 years ago

Find the average rate of change of f(x)=2x-1 from x=-1 to x=2

MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

Solution:

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

The average rate of change is given as:

$\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}$

The average rate of change from x = -1 to x = 2 is given by formula:

$\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}$

Find f(2) and f( - 1)

Substitute x = 2 in given function

f(2) = 2(2) - 1 = 4 - 1 = 3

Substitute x = -1 in given function

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

Substitute the values in above formula,

$\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2$

Thus average rate of change from x = -1 to x = 2 is 2

3 0

3 years ago

test worth 70 points; test score of 90% write a proportion to find how many points a student needs to earn on the test to get th

GaryK [48]

70/70 = 100%
35/70 =50%
63/70=90%

6 0

3 years ago

The size of the largest angle in a triangle is 3 times the size of the smallest angle.

tamaranim1 [39]

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

The size of the largest angle in a triangle is 3 times the size of the smallest angle
The third angle is 10° more than the smallest angle
The size of the third angle is x

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Learn more:

You can learn more about the triangles in brainly.com/question/1479138

#LearnwithBrainly

6 0

3 years ago

SOMEONE HELP ME PLSSSSSSS

mr Goodwill [35]

Answer:

y = 8x

Step-by-step explanation:

hope this is what u need if not comment and I'll change it

7 0

3 years ago