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2 years ago

THis Is WaLtEr AnD i GiVe YoU 20 pOiNtS mErRy ChRiStMaS!!

Mathematics

1 answer:

Amanda [17]2 years ago

4 0

Answer:

oooo

Step-by-step explanation:

oooooooooo yayyyyyy

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Can someone explain functions in algebra to me please

Aleksandr-060686 [28]

Answer:

They are hard and you Just have to follow the steps of solbing them

Step-by-step explanation:

4 0

2 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

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

Solution:

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

If -1 < x < 0 which of the following has the smallest value?

Katyanochek1 [597]

Answer: (B) x^3

Explanation:

If you compare the graphs of

y = x^2
y = x^3
y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.

6 0

2 years ago

A donkey weighs 570 pounds and an elephant weighs 5 tons how much more does the elephant weigh in pounds and ounces?

goldfiish [28.3K]

The elephant weighs 9,430 pounds more than the donkey.

6 0

2 years ago

The number of households without a computer at home in 2009 was closest to A)801000 B)1153000 C)1737000 D)3433000 E)4017000

bagirrra123 [75]

Answer:

B) 1153000

Step-by-step explanation:

Given

See attachment

Required

Number of households without computer in 2009

From the attachment, we have:

$n=5170000$ --- survey

$p = 22.3\%$ --- proportion without computer

So, the actual number is:

$Number = p * n$

$Number = 22.3\% * 5170000$

$Number = 1152910$

$Number \approx 1153000$

Hence: (B) is correct

7 0

2 years ago