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3 years ago

Which is the graph of y=|x|-2?

Mathematics

1 answer:

sergeinik [125]3 years ago

6 0

It looks like a V with the point of the V at the point (0,-2)

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Which of the following is equal C(10,3)? a. C(3,10) b. C(10,7) c. P(10,3)

agasfer [191]

Answer:

Option: b is correct.

b. C(10,7)

Step-by-step explanation:

The formula for C(n,k) is evaluated as:

$C(n,k)=\dfrac{n!}{k!\times (n-k)!}$

Also The formula for P(n,k) is evaluated as:

$C(n,k)=\dfrac{n!}{(n-k)!}$

$C(10,3)=\dfrac{10!}{3!\times (10-3)!}\\\\C(10,3)=\dfrac{10!}{3\times 7!}\\\\C(10,3)=120$

$C(3,10)=\dfrac{3!}{10!\times (3-10)!}\\\\C(3,10)=\dfrac{3!}{10!\times (-7)!}$

and e know the factorial of negative number does not exist.

so, this is not possible.

Hence, option a is incorrect.

C(10,7)

$C(10,7)=\dfrac{10!}{7!\times (10-7)!}\\\\C(10,7)=\dfrac{10!}{7!\times 3!}\\\\C(10,7)=120$

Hence, option b is correct.

P(10,3)

$P(10,3)=\dfrac{10!}{(10-3)!}\\\\P(10,3)=\dfrac{10!}{7!}\\\\P(10,3)=720$

Hence, option c is incorrect.

Hence, C(10,7) is equal to C(10,3).

Hence, option b is correct.

5 0

3 years ago

Read 2 more answers

HELLPP please 20 points

boyakko [2]

Ok lol

What you need help with

8 0

3 years ago

Henry and his children went into a grocery store and where they sell peaches for $2

liberstina [14]

Answer:

6, 7, 8, 9

Step-by-step explanation:

There ya go. The numbers of possible amounts of mangos he could buy without exceeding his budget.

4 0

3 years ago

DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If

Marta_Voda [28]

Answer:

3.63 * 10^19

Step-by-step explanation:

Given that :

Number of choices to select = 12

Category available :

Blues - 14

Country - 25

Disco - 21

To select an equal number of song for each category ; then 4 songs will be selected from each :

Using combination :

(14C4 * 25C4 * 21C4)

Since the order matters for the 12 selected songs ; it thus requires 12 permutation

Thus ;

(14C4 * 25C4 * 21C4) * 12!

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

Using calculator;

14C4 = 1001 ;

25C4 = 12650

21C4 = 5985

12! = 479001600

Hence,

(1001 * 12650 * 5985) * 479001600

= 36301596217286400000

=3.63 * 10^19

5 0

2 years ago

What is the next term for the given arithmetic sequence? -3, -2.25, -1.5, -0.75, ...

11Alexandr11 [23.1K]

Common difference = 0.75
Next term = -0.75 + 0.75 = 0

4 0

3 years ago