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damaskus [11]
2 years ago
6

Select the correct answer. Which statement is true about this quadratic equation? y=2x^2 + 9x-12 a There is one complex solution

b there are two complex solutions c There is one real solution d There are two real solutions​

Mathematics
1 answer:
Yakvenalex [24]2 years ago
5 0

Answer:

There are 2 complex solutions

Step-by-step explanation:

Both imaginary Solutions

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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
2 years ago
Duffy Duck, If you see this, is Y rational?
oksano4ka [1.4K]

Answer:

i think so

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What the answer plz help
ratelena [41]
20 = 40e^-0.1446t
e^-0.1446t = 0.5

t  = ln 0.5 / -0.1446
t =  4.8 days

4 0
3 years ago
Put these in order of size smallest first 60% 0.4 1/2
Ludmilka [50]
.4 is smallest, 1/2 , then 60% is greatest.
3 0
3 years ago
Read 2 more answers
Which statement is correct about relations and functions?
vitfil [10]
1. all functions are relations.

2.
-7 + 3(-12) ÷ (-3)
-7 - 36 ÷ -3
-7 - (-12)
-7 + 12
5  

3.
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f(-4) = -4² - (-4)
f(-4) = 16 - (-4)
f(-4) = 16 + 4
f(-4) = 20

hope this helped, God bless!
6 0
2 years ago
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