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Black_prince [1.1K]
3 years ago
8

Classify 3x^5-8x^3-2x^2+5 by number of terms. Please show steps?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0
The correct
answer is-164
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Verify the trigonometric identities
snow_lady [41]
1)

here, we do the left-hand-side

\bf [sin(x)+cos(x)]^2+[sin(x)-cos(x)]^2=2
\\\\\\\
[sin^2(x)+2sin(x)cos(x)+cos^2(x)]\\\\+~ [sin^2(x)-2sin(x)cos(x)+cos^2(x)]
\\\\\\
2sin^2(x)+2cos^2(x)\implies 2[sin^2(x)+cos^2(x)]\implies 2[1]\implies 2

2)

here we also do the left-hand-side

\bf \cfrac{2-cos^2(x)}{sin(x)}=csc(x)+sin(x)
\\\\\\
\cfrac{2-[1-sin^2(x)]}{sin(x)}\implies \cfrac{2-1+sin^2(x)}{sin(x)}\implies \cfrac{1+sin^2(x)}{sin(x)}
\\\\\\
\cfrac{1}{sin(x)}+\cfrac{sin^2(x)}{sin(x)}\implies csc(x)+sin(x)

3)

here, we do the right-hand-side

\bf \cfrac{cos(x)-sin^2(x)}{sin(x)+cos^2(x)}=\cfrac{csc(x)-tan(x)}{sec(x)+cot(x)}
\\\\\\
\cfrac{csc(x)-tan(x)}{sec(x)+cot(x)}\implies \cfrac{\frac{1}{sin(x)}-\frac{sin(x)}{cos(x)}}{\frac{1}{cos(x)}-\frac{cos(x)}{sin(x)}}\implies \cfrac{\frac{cos(x)-sin^2(x)}{sin(x)cos(x)}}{\frac{sin(x)+cos^2(x)}{sin(x)cos(x)}}
\\\\\\
\cfrac{cos(x)-sin^2(x)}{\underline{sin(x)cos(x)}}\cdot \cfrac{\underline{sin(x)cos(x)}}{sin(x)+cos^2(x)}\implies \cfrac{cos(x)-sin^2(x)}{sin(x)+cos^2(x)}
8 0
3 years ago
2. How do you<br> multiply and divide<br> rational<br> expressions?
tatuchka [14]

Answer:

1.Factor both the numerator and the denominator.

2.Write as one fraction.

3: Simplify the rational expression.

4: Multiply any remaining factors in the numerator and/or denominator.

Step-by-step explanation:

7 0
3 years ago
A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip to
notka56 [123]

Answer:

Average speed is 48 km per hour

Step-by-step explanation:

A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip took 20.0 min. (a) What was her average speed? in km/hr

Distance traveled is 16 km and the time taken is 20 minutes

convert minutes into hour. to convert minutes into hour we divide by 60 because 1 hour = 60 minutes

\frac{20}{60} =\frac{1}{3}

so time = 1/3  and distance = 16

Average speed = distance by time

speed =\frac{16}{\frac{1}{3} } =\frac{48}{1}= 48

Average speed is 48 km per hour

4 0
3 years ago
Brandy plays a hockey video game. She earns 2 stars for every goal she scores
r-ruslan [8.4K]

Answer:

-8 stars

Step-by-step explanation:

if she gets 2 stars for scoring a goal and losses 2 for missing one then if she gets 8 goals = 16 stars and misses 12 goals = - 24 stars so 16-(-24) = -8 stars

8 0
3 years ago
Read 2 more answers
Which function is the same as y=cos(2(x+pi/2))-2
miss Akunina [59]
Y=cos(2x+pi) - 2
y= - cos(2x) - 2
{ Since cos(x+pi) =-cos(x)}
8 0
3 years ago
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