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
BARSIC [14]
2 years ago
7

Use the Fundamental Counting Principle to solve.

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
7 0

number \: of \: performances = 9 \\ note =  \\ one \: insists \: on \: being \: last \\ number \: of \: flexible \: performances = 9 - 1 = 8 \\  \\ c( \gamma ) = 8P8 \times 1 \\ c( \gamma ) = 8! \\ c( \gamma ) = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \\ c( \gamma ) = 40320 \: ways

You might be interested in
F(x)=9 x^{3} +2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write your finial answer in factored f
olasank [31]

Answer:

{ -0.5 - √2,  0,  -.5 + √2 }

Step-by-step explanation:

Let's rewrite these two functions in a vertical column:

 f(x)=9 x^{3} +2x^2-5x+4

-g(x)=5x^3-7x+4

Now combine (through subtraction) like terms, in order of descending powers of x:

f(x) - g(x) = 4x^ 3 + 2x^2 + 2x

Let's do some preliminary factoring here.  Factor 2x out of each term, obtaining

f(x) - g(x) = 2x(2x^2 + x + 1)

First setting 2x = 0, we find that x = 0 is one solution.

Applying the quadratic formula to 2x^2 + x + 1, we see that a = 2, b = 1 and c = 1.  Then the two roots of this quadratic are:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± √(8)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

This simplifies to:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± 2√(2)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

Thus, the roots of f(x) - g(x) are { -0.5 - √2,  0,  -.5 + √2 }

7 0
3 years ago
Jason is collecting coins from different countries around the world. He currently has coins from 105 countries and plans to add
BlackZzzverrR [31]

Answer:

15 equation: 195=105+6x

Step-by-step explanation:

he starts out with 105 and the rate of change is 6x so to get the answer u wanna make and equation (195=105+6x) then you would subtract the 105

195=105+6x

-105  -105

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

90=0 +6x

then u would divide by 6

90/6=6x/6

x=15

 

3 0
2 years ago
Read 2 more answers
An item Brophy Burger costs n dollars. If the price of the Brophy Burger increases by 30%, the new price can be represented by t
Alika [10]
1.3n (it can be simplified like any other equation just add like terms and remember there is a one before every variable)
5 0
2 years ago
What does it mean when someone says “ your nobody to lie to”?
timurjin [86]

Answer: You're not important basically

Step-by-step explanation:

4 0
2 years ago
What is the fraction for five over two
nignag [31]

Answer:

So normally you would say it as

                  \       /

                <em>2 and 1/2</em>

                  /       \

<em>(2 1/2)</em>

<em></em>

*eliza*

<em></em>

<em></em>

3 0
3 years ago
Other questions:
  • What is the common difference of the arithmetic sequence? −10x, −7x, −4x, −x, 2x, 5x, ... A) −3x B) −3 C) 3 D) 3x
    7·1 answer
  • Write the next 2 perfect cubes 8,27​
    10·1 answer
  • Cindy went to Maggie Moo’s for an ice cream cone after school. The ice cream cone had a radius of 3 inch, a height of 2 inches,
    9·1 answer
  • Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale. Part A: W
    15·1 answer
  • HELP ASAP WILL MARK BRAINLIEST<br> IF YOU DONT KNOW DONT ANSWER
    14·2 answers
  • Hey can you help me fast!!
    6·2 answers
  • D+g/h for d=35, g=19 and h=6<br> A. 9<br> B. 2.7<br> C. 7.3<br> D. 8
    12·1 answer
  • Solve!<br><br> 1. p/5 = -2<br> 2. y/-3 = 33<br> 3. -7n = 35
    11·1 answer
  • Which function is equivalent to<br><br><br><br> g ( x ) = x 2 - 15 x - 54?
    15·1 answer
  • Is kilobyte bigger than megabyte.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!