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Zina [86]
3 years ago
9

15, Evaluate 6 choose 4.

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:  The required result is 15.

Step-by-step explanation:  We are given to evaluate the following :

"6 choose 4".

Since we are to choose 4 from 6, so we have to use the combination of 6 different things chosen 4 at a time.

We know that

the formula for the combination of n different things chosen r at a time is given by

^nC_r=\dfrac{n!}{r!(n-r)!}.

For the given situation, n = 6  and  r = 4.

Therefore, we get

^6C_4=\dfrac{6!}{4!(6-4)!}=\dfrac{6!}{4!2!}=\dfrac{6\times5\times4!}{4!\times2\times1}=15.

Thus, the required result is 15.

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If f(x)=5x-2 and g(x)=2x+1, find (f+g)(x)<br> A.7x-3 <br> B.3x-1 <br> C.7x-1 <br> D.4x-3
Gwar [14]

Answer:

(f+g)(x) = 7x -1  (Answer C)

Step-by-step explanation:

Rewrite these two functions, one above the other, for ease in adding:

f(x) = 5x - 2

+g(x) =2x + 1

------------------

(f+g)(x) = 7x -1


6 0
3 years ago
Veronda has a bag of mixed shapes. She chooses 3 shapes and fits them together to form a figure as shown. 8 cm 4 cm K 17 cm What
Ainat [17]

The area of the figure created by Verona is 96.56 cm²

<h3>Area</h3>

Area is the amount of space occupied by a two dimensional object.

The area of the circle = (1/4) * π * 4² = 12.56 cm²

The area of the square = 8 cm * 8 cm = 64 cm²

Area of the triangle = (1/2) * 8 cm * (17 - 8 - 4) = 20 cm²

Area of the figure created by Verona = 12.56 + 64 + 20 = 96.56 cm²

The area of the figure created by Verona is 96.56 cm²

Find out more on area at: brainly.com/question/25292087

7 0
2 years ago
Item 2
Inessa05 [86]

The question is an illustration of a division model.

The boxes will be completed with: 1650, 231, 50 and 7

The expression is represented as:

\mathbf{1881 \div 33}

Express 1881 as 1650 + 231.

\mathbf{1881 \div 33 = (1650 + 231) \div 33}

Split

\mathbf{1881 \div 33 = 1650 \div 33 + 231 \div 33}

Evaluate each division

\mathbf{1881 \div 33 = 50 + 7}

\mathbf{1881 \div 33 = 57}

The above illustration means that, the boxes will be completed with the following numbers

  • 1650
  • 231
  • 50
  • 7

See attachment for proper illustration

Read more about division models at:

brainly.com/question/15163437

8 0
2 years ago
Point R(3,5) is rotated 90 degrees clockwise about the origin. What are<br> the coordinates of R'?
maria [59]

Answer:

(5,-3)

Step-by-step explanation:

if this is the rotation that I remember learning, it should be correct. I'm very sorry if it isn't right

3 0
3 years ago
What is the factor of this polynomial: x^2-7x+6​
zimovet [89]

Answer:

x^2-7x+6=(x-1)(x-6)

5 0
3 years ago
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