1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
4 years ago
5

7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20X%3D%3F" id="TexFormula1" title=" \frac{(15-X)!}{(13-X)!.2!}=\frac{X!}{(X-2)!.2!} \\ \\ \\ \\ X=?" alt=" \frac{(15-X)!}{(13-X)!.2!}=\frac{X!}{(X-2)!.2!} \\ \\ \\ \\ X=?" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Vinvika [58]4 years ago
8 0
\frac{(15-x)!}{(13-x)!\cdot2!}=\frac{x!}{(x-2)!\cdot2!}\\
\frac{(14-x)(15-x)}{2}=\frac{(x-1)x}{2}\\
(14-x)(15-x)=(x-1)x\\
210-14x-15x+x^2=x^2-x\\
28x=210\\
x=\frac{210}{28}=7.5

The factorial is defined for natural numbers and since 7.5 isn't one, this equation has no solutions.
bogdanovich [222]4 years ago
6 0
(15-x)!=[15-(x+2)]!\times[15-(x+1)]\times(15-x)\\\\=(15-x-2)!\times(15-x-1)\times(15-x)\\\\=(13-x)!\times(14-x)\times(15-x)\\\\=(13-x)!\times(210-14x-15x+x^2)\\\\=(13-x)!\times(x^2-29x+210)\\\\therefore:\frac{(15-x)!}{(13-x)!\cdot2!}=\frac{(13-x)!\cdot(x^2-29x+210)}{(13-x)!\cdot2!}=\frac{x^2-29x+210}{2}


x!=(x-2)!\times(x-1)\times x=(x-2)!\times(x^2-x)\\\\therefore:\frac{x!}{(x-2)!\cdot2!}=\frac{(x-2)!\cdot(x^2-x)}{(x-2)!\cdot2}=\frac{x^2-x}{2}\\\\======================================\\\\\frac{x^2-29x+210}{2}=\frac{x^2-x}{2}\ \ \ \ \ |multiply\ both\ sides\ by\ 2\\\\x^2-29x+210=x^2-x\\\\x^2-x^2-29x+x=-210\\\\-28x=-210\ \ \ \ \ |divide\ both\ sides\ by\ (-28)\\\\x=7.5\notin\mathbb{Z}

This\ equation\ has\ not\ solution\ because\ x\ must\ be\ an\ integer!\\\\x\in\O
You might be interested in
I know its the weekend but i really need help
noname [10]

Answer:

0

Step-by-step explanation:

because you have 3 1/4 - 2 2/3 it would really be something like .666666 or .33333 because you have 1 1/2 after subtracting the whole numbers, the subtracting the fractions would end in a decimal closest to 0

4 0
3 years ago
Put these numbers in order from least to greatest. I'm too lazy to do it.
Usimov [2.4K]

Answer:

1,3,4,5,6,10,11,14,16,17,18,20

Step-by-step explanation:

I've been there so many times. Hope you have a great day!

3 0
3 years ago
Find the experimental probability that the first three students to arrive at school are boys
julia-pushkina [17]

Answer:

that depends

Step-by-step explanation:

how many students are in the school all together, see you would do the 3 boys over the number of people (or students) in the school

hoped this helped a little

5 0
4 years ago
This is a tough one. Thanks to everyone who helps
VladimirAG [237]

Step-by-step explanation:

Hello there!

A good first step is to fill the t=blanks with 2 and 4.

Then proceed as follows:

3 |2x+4|=24\\3(2x+4)=24\\2x+4=\frac{24}{3} \\2x+4=8\\2x=8-4\\2x=4\\x=2

And there you are! Feel free to comment with questions, and have a grwat day!

:)

3 0
4 years ago
H(0)=_______________
Feliz [49]

Answer:

5

Step-by-step explanation:

the only point in the chart, which has x=0 as coordinate, is the point up there at y=5.

and that is automatically the result. there is not anything else to it.

6 0
3 years ago
Other questions:
  • Pleeeaaasssseeee help me on this 2 problems.
    11·1 answer
  • Stefano needed to change the size of one of the signboards describing an artist's work. Using a scale factor, he created a new s
    7·1 answer
  • LAST ONE PLEASE HELPPPP TIMEDD<br> FIND P(Q/R)
    12·1 answer
  • Please answer with step by step instructions please and thank you
    11·1 answer
  • Plz help ASAP, giving brainliest!
    15·1 answer
  • Classify the following triangle as acute, obtuse, or right.
    14·1 answer
  • Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two year
    13·2 answers
  • PLEASE HELP ME I NEED THIS REALLY BAD
    9·1 answer
  • A rack bought for rs.8000 and sold at 15% loss, find selling price​
    7·1 answer
  • Factoring polynomials
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!