Which function is graphed below?<br> f(x) = -cos(x)<br> f(x) = cos(x)<br> fx) = sin(x)

The Cougar volleyball team won 3/4 of their games this year and 2/3 of their games last year. They play 24 games each year. How

Anit [1.1K]

Answer:

2 games

Step-by-step explanation:

First, find how many that won this year by multiplying 24 by 3/4

24(3/4)

= 18

Find how many they won last year by multiplying 24 by 2/3

24(2/3)

= 16

Find the difference:

18 - 16

= 2

So, they won 2 more games this year than last year

5 0

3 years ago

Read 2 more answers

How many different 7-place license plates are possible when 3 of the entries are letters and 4 are digits? Assume that repetitio

timofeeve [1]

Answer:

There are 6,151,600,000 different 7-place license plates are possible when 3 of the entries are letters and 4 are digits,

Step-by-step explanation:

For each of the entries which are letters, there are 26 possible outcomes.

For each of the entries which are digits, there are 10 possible outcomes.

These outcomes can be permutated.

For example, ABC1234 is a different outcome than A1B2C34. This means that we need to use the permutations formula.

The number of permutations of n, divided into two groups of size a and b, is:

$P_{a,b}^{n} = \frac{n!}{a!b!}$ .

In this problem, we have a permutation of 7, divided into a group of 4(digits) and 3(letters).

How many different 7-place license plates are possible when 3 of the entries are letters and 4 are digits?

This is $P_{3,4}^{7}*(26)^{3}*10^{4} = 35*(26)^{3}*10^{4} = 6,151,600,000$

There are 6,151,600,000 different 7-place license plates are possible when 3 of the entries are letters and 4 are digits,

7 0

3 years ago

Please Help me!!!!!!

Zigmanuir [339]

Answer:

it's A i just took the test

8 0

3 years ago

Solve the equation -2(x-5)=-14

Rama09 [41]

Answer:

x=12

Step-by-step explanation:

-2(x-5)=-14

x-5=-2/-14

x-5=14/2

x-5=7

x=5+7

x=12

3 0

3 years ago

Read 2 more answers

Using interval notation , identify the domain for the function!!! Math 3 - 10 points. Help needed

In-s [12.5K]

Answer:

The domain by the interval notation is (-∞ , 3)∪(3 , 4)∪(4 , ∞) ⇒ 3rd answer

Step-by-step explanation:

* Lets revise how to find the domain of the function

- The domain is all values of x that make the expression defined

- To find where the expression is undefined put the denominator

equal 0, to get the values of x which make denominator equal to 0

- The domain will be all the real number except those values

* Now lets solve the problem

∵ f(x) = (x² - 9)/(x² - 7x + 12)

- Let the denominator x² − 7x + 12 equal to 0

∵ x² − 7x + 12 = 0 ⇒ factorize it

- Consider the form x² + bx + c

- Find a pair of integers whose product is c and whose sum is b

- In this case, whose product is 12 and whose sum is −7

- They are -3 and -4

- Write the factored form using these integers.

∴ (x -3)(x - 4) = 0 ⇒ put each bracket = 0

∴ x - 3 = 0 or x - 4 = 0

∵ x - 3 = 0 ⇒ add 3 to both sides

∴ x = 3

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∴ The domain of f(x) is all real number except 3 and 4

* The domain by the interval notation is

(-∞ , 3)∪(3 , 4)∪(4 , ∞)

7 0

3 years ago

Which function is graphed below? f(x) = -cos(x) f(x) = cos(x) fx) = sin(x)