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DaniilM [7]
3 years ago
5

How many unique three-letter sequences can be made from the word COMBINATORICS where no 2 letters can be the same?

Mathematics
2 answers:
Zanzabum3 years ago
8 0

Answer:

BIN

TIC

SIT

BIT

MOB

ROT

SIR

BAN

BAM

TAN

RAT

ROB

theres tons of words you can make, just take a few seconds and find as many as you can

valentina_108 [34]3 years ago
5 0

Answer:

720

Step-by-step explanation:

the way I read this problem is like a Scrabble set. Start by getting a unique set of letters:

COMBINATRS

10 unique letters

10! / (10-3)!

10! / 7!

720

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Make a conjecture of what the x-intercepts of the function<br> f(x) = (2x - 1)(x + 3) will be.
drek231 [11]

Answer:

x=-3,x1/2

Step-by-step explanation:

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

TI find x intercept/zero substitute

f(x)=0

0=(2x-1)x(x+3)

swap the sides of the equation

(2x-1)x(x+3)=0

when the product of factors equals 0,at least one factor is zero

2x-1=0

x+3=0

solve the equation for x

x=1/2

x+3=0

solve the equation of x

x=-3

The equation has two solution

x=-3

x=1/2

3 0
3 years ago
Solve for x using the figure to the right.<br> 50
Alenkinab [10]
Do you have an Picture?
5 0
3 years ago
The value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t)
den301095 [7]

Answer:

Function for given situation is : V(t)=3000(0.70)^t

Value of computer after 4 years = $720.3.

Step-by-step explanation:

Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.

It clearly says that value decreases so that means function represents decay.

For decay we use formula:

A=P(1-r)^t

where P=initial value = $3000,

r= rate of decrease =30% = 0.30

t= number of years

A=V(t) = future value

so the required function is V(t)=3000(1-0.30)^t

or V(t)=3000(0.70)^t

Now plug t=4 years to get the value of computer after 4 years.

V(4)=3000(0.70)^4

V(4)=720.3

Hence final answer is $720.3.

7 0
3 years ago
Read 2 more answers
Which ordered pair is a solution of the equation y=4x
Brums [2.3K]

your answer is (-4,-1)

4 0
4 years ago
Read 2 more answers
Select the common ratio and the 4th term of the geometric series: 9, -6,4...
Blababa [14]

The given geometric sequence has the common ratio, <u>r = -2/3</u>, and the value of the 4th term, <u>a₄ = -8/3</u>.

A geometric sequence is a special series where every term is the product of the previous term and a common ratio.

The first term of a geometric sequence is represented as a, the common ratio as r, and the n-th term as aₙ, which is calculated as, aₙ = a.rⁿ⁻¹.

In the question, we are asked to find the common ratio and the 4th term of the geometric sequence, 9, -6, 4, ........

The first term of the sequence, a = 9.

The second term of the sequence, a₂ = -6.

By the formula of the n-th term, aₙ = a.rⁿ⁻¹, we can show that:

a₂ = a.r²⁻¹.

Substituting the values, we get:

-6 = 9(r²⁻¹),

or, r²⁻¹ = -6/9,

or, r = -2/3.

Thus, the common ratio of the given geometric sequence is <u>-2/3</u>.

The 4th term can be calculated using the formula of the n-th term, aₙ = a.rⁿ⁻¹ as:

a₄ = a.r⁴⁻¹ = a.r³.

Substituting the values, we get:

a₄ = 9(-2/3)³,

or, a₄ = 9.(-8/27),

or, a₄ = -8/3.

Thus, the 4th term of the given geometric sequence is <u>-8/3</u>.

Learn more about a geometric sequence at

brainly.com/question/24643676

#SPJ1

3 0
2 years ago
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