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natita [175]
3 years ago
7

What is the sum of the solutions of the 2 equations below?

Mathematics
1 answer:
vitfil [10]3 years ago
5 0

Answer:

D. -8

Step-by-step explanation:

-14x = 280

So x = -20

9 + 5y = 69

5y=60

So y=12

-20+12 = -8

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3 times 2/3 will be less then,greater then or equal to 3
Hatshy [7]

Answer:

Equal to 3

The drawing will help

4 0
3 years ago
Read 2 more answers
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
Hi, can someone please help me out with this problem? thanks in advance.
kiruha [24]

Answer:

The following is an income statement using the Contribution format.

...........................Income Statement for Rivieremia Corp................................

Sales ........................................................................$1,500,000

Less Variable Costs................................................<u>($1,200,000)</u>

Contribution Margin..............................................$300,000

Less Fixed Costs....................................................<u>($200,000)</u>

Operating Income .................................................$100,000

Less Tax...................................................................<u>.($10,000)</u>

Net Income...............................................................$90,000

Tax = 10% * 100,000 = $10,000

Proving breakeven is $1,000,000.

The breakeven point for a company can be calculated by dividing the Fixed cost by the contribution margin ratio.

Contribution margin ratio = Contribution margin / Sales

= 300,000/1,500,000

= 20%

= Fixed Cost/ Contribution Margin ratio

= 200,000/20%

= $1,000,000

Degree of Operating Leverage = Contribution Margin/ Operating Income

= 300,000/100,000

= 3

7 0
3 years ago
What is the volume of a cube with a side length that measures 8cm? ANWSER ASAP please
NeTakaya
What you do is 8 x 8 x 8 and cube your number 
=512
3 0
3 years ago
Read 2 more answers
ANSWER THIS ASAP NO FILE AT ATT!! IM AT 69 I NEED A 70 JUST GET IT RIGHT
Darya [45]

Answer:

A

Step-by-step explanation:

A shows a counterclockwise 90° rotation, so it is the correct answer.

B shows a reflection.

C shows a translation.

8 0
3 years ago
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