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3 years ago

What is the domain of this function?

Mathematics

2 answers:

mote1985 [20]3 years ago

8 0

Answer:

Step-by-step explanation:

its c because I just cacuulated it

fredd [130]3 years ago

5 0

The answerA. Hope this helps God bless

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Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

For every 5 coins carmen gets ,she gives 2 to her brother Frankie.If carmen has 9 coins,howmany coins does Frankie have?

FrozenT [24]

Answer:

Frankie have 6 coins

Step-by-step explanation:

For every 5 coins Carmen gets ,she gives 2 to her brother Frankie

Out of 5 coins, Carmen given 2 to her brother Frankie

So Carmen has 3 coins and Frankie has 2 coins

Ratio of coins , Frankie to Carmen is

2: 3

We need to find the number of coins Frankie has if Carmen has 9 coins

ratio of Frankie to Carmen is x : 9

Now make a proportion and solve for x

$\frac{2}{3} =\frac{x}{9}$

Cross multiply it

2*9 = 3*x

18 = 3x

Now divide both sides by 3

so x= 6

Frankie have 6 coins

7 0

3 years ago

How many ways can six of the letters of the word ALGORITHM be selected 8. How many ways can the letters of the word ALGORITHM be

SCORPION-xisa [38]

<h2>Answer with explanation:</h2>

The number of letters in word "ALGORITHM" = 9

The number of combinations to select r things from n things is given by :-

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

Now, the number of combinations to select 6 letters from 9 letters will be :-

$C(9,8)=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!\times3!}=84$

Thus , the number of ways can six of the letters of the word ALGORITHM=84

The number of ways to arrange n things in a row : $n!$

So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

$9!=362880$

If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7

Number of ways to arrange 9 letters if "GOR" comes together :-

$7!=5040$

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040

3 0

3 years ago

The price of a loaf of bread increases by $0.25 each week

krok68 [10]

The question didn't make sense, could you add more to it?

4 0

4 years ago

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What is the absolute value of 4+7i is equal to the square root of ______

nexus9112 [7]

The answer too your question is 65 it is equal to the square root of 65

4 0

3 years ago

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