All categories

2 years ago

NCr/nPr=r! give proof.

1 answer:

3 0

It's 1/r!

nCr = n! / r!(n-r)!
nPr = n! / (n-r)!

If you divide the two you'd have:

n! / r! (n-r)! * (n-r)! / n! = 1/r!

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

You might be interested in

Marty and Ethan both wrote a function, but in different ways.

marishachu [46]

Question:

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

Answer:

Marty’s with a slope of 1/3 has the larger slope

Solution:

Given that Marty equation is:

$y + 3 = \frac{1}{3}(x+9)$

The point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

On comapring both equations,

$m = \frac{1}{3}$

Ethan wrote a function:

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

The slope is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

From above two points,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)$

Therefore,

$m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2$

Thus we get,

$\text{Slope of Ethan} < \text{Slope of Marty}$

Therefore, Marty’s with a slope of 1/3 has the larger slope

4 0

3 years ago

Read 2 more answers

Help please???????????

RUDIKE [14]

Answer:

the last one i think

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Which expression uses the associative property to make it easier to evaluate? (50points)

Naily [24]

The correct answer is option 4: $(8.\frac{1}{4}).\frac{3}{5}$

Step-by-step explanation:

Given expression is:

$8.(\frac{1}{4}.\frac{3}{5})$

The associative property states that for any three terms that are being multiplied, different order of multiplication (i.e. which two terms are multiplied first) will give the same answer.

Let a,b and c be the three terms

then

$a.(b.c) = (a.b).c$

So applying the associative property on given expression

$8.(\frac{1}{4}.\frac{3}{5}) = (8.\frac{1}{4}).\frac{3}{5}$

Hence,

The correct answer is option 4: $(8.\frac{1}{4}).\frac{3}{5}$

Keywords: Associative property, Properties

Learn more about associative property at:

#learnwithBrainly

5 0

3 years ago

HeLp pLzZzZzZzZzZzZzZzZzZ

Gnoma [55]

Answer:

Step-by-step explanation:

Problem One (left panel)

Question A

The y intercept happens when x = 0
That being said, the y intercept is 50. It was moving when the timing began.

Question B

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2 miles / hour^2 (you have a slight acceleration.

Question C

60 = a + (n-1)d
60 = 50 + (n - 1)*2
10/2 = (n - 1)*2/2
5 = n - 1
6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

Question A

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

f(0) = ax + b
-3 = a*0) + b
b = - 3
So far what you have is
f(x) = ax - 3
f(-1) = a*(-1) - 3 but we know (f(-1)) = -6
- 6 = a(-1) - 3 add 3 to both sides
-6 +3 = a(-1) -3 + 3
-3 = a*(-1) Divide by - 1
a = 3
f(x) = 3x - 3 Answer for f(x)
The slope of f(x) = the coefficient in front of the x
f(x) has a slope of 3
g(x) has a slope of 4

Part B

f(x) has a y intercept of - 3
g(x) has a y intercept of -5
f(x) has the greater y intercept.
-3 > - 5

7 0

3 years ago

4. Solve. x² – 81 = 0 (1 point) 0 –9 –9, 9 9

Rudik [331]

x^2 - 81 = 0. Add 81 to each side.

x^2 = 81. Take the square root of each side.

x = 9, -9

5 0

3 years ago

Read 2 more answers