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GuDViN [60]
2 years ago
14

How to simplify 3sin^2x + 3(1-sin^2x)

Mathematics
1 answer:
EleoNora [17]2 years ago
5 0

\bf \textit{Pythagorean Identities}\\\\sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\[-0.35em]\rule{34em}{0.25pt}\\\\3sin^2(x)+3[1-sin^2(x)]\implies 3sin^2(x)+3cos^2(x)\\\\\\\stackrel{\textit{common factor}}{3[sin^2(x)+cos^2(x)]}\implies 3(1)\implies 3

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Answer:

1.The quotient of two negative integers is positive.

3.The quotient of two integers with the same sign is positive.

Step-by-step explanation:

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2 years ago
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While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon. Which
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It seems most likely that ...

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In the real world, it seems probable that Samantha will be offered the choice of using the coupon <em>or</em> the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.

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To find the exact answer based on the last step, "2(3)^3+5", you must use PEMDAS (attached image below)

 

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Thus the answer is <u>59</u>.

Hope that helps!

         

4 0
2 years ago
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Following the lead of the National Wildlife Federation, the Department of the Interior of a South American country began to reco
chubhunter [2.5K]

Answer:

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Step-by-step explanation:

Consider the provided function.

f(t) = \frac{1}{3}t^3-\frac{5}{2}t^2 + 80

f'(t) = t^2-5t

Substitute f'(t)=0.

t^2-5t=0

t(t-5)=0

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It is given that  (0 ≤ t ≤ 10)

The test interval are (0,5) and (5,10)

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Hence, the function is increasing from (5,10).

t = 0 corresponds to 2004.

Therefore, after 2009 the quality of the forests in this country improving.

7 0
3 years ago
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