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NeX [460]
3 years ago
9

Which expression is a possible leading term for the polynomial function graphed below?

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Answer:Answer: Option A. -4x^8

Step-by-step explanation:

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Cos y/ 1-sin y= 1+sin y/cos y. Verify the identity. Show All Steps!
Vlada [557]

Answer:

When proving identities, the answer is in the explanation.

Step-by-step explanation:

\frac{\cos(y)}{1-\sin(y)}

I have two terms in this denominator here.

I also know that 1-\sin^2(\theta)=\cos^2(theta) by Pythagorean Identity.  

So I don't know how comfortable you are with multiplying this denominator's conjugate on top and bottom here but that is exactly what I would do here.  There will be other problems will you have to do this.

\frac{\cos(y)}{1-\sin(y)} \cdot \frac{1+\sin(y)}{1+\sin(y)}

Big note here: When multiplying conjugates all you have to do is multiply fist and last.  You do not need to do the whole foil.  That is when you are multiplying something like (a-b)(a+b), the result is just a^2-b^2.

Let's do that here with our problem in the denominator.

\frac{\cos(y)}{1-\sin(y)} \cdot \frac{1+\sin(y)}{1+\sin(y)}

\frac{\cos(y)(1+\sin(y))}{(1-\sin(y))(1+\sin(y)}

\frac{\cos(y)(1+\sin(y))}{1^2-\sin^2(y)}

\frac{\cos(y)(1+\sin(y))}{1-\sin^2(y)}

\frac{\cos(y)(1+\sin(y))}{cos^2(y)}

In that last step, I apply the Pythagorean Identity I mentioned way above.

Now You have a factor of cos(y) on top and bottom, so you can cancel them out.  What we are really saying is that cos(y)/cos(y)=1.

\frac{1+\sin(y)}{cos(y)}

This is the desired result.

We are done.

6 0
3 years ago
Bill wants to purchase some gloves and hats. The gloves cost $12 and a hat costs $8. Bill can spend no more than $56.
Ksenya-84 [330]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Patrick is replacing a door in his house. It has a height of 80 inches and its diagonal is 89 inches. What is the width of the d
Sedbober [7]
72 I think I hope its right I had to write all over my paper lol
6 0
3 years ago
A train left a station a station at noon going 40mph. A second train left at 3 p.m. going 60mph. At what time will the second tr
Sati [7]

Here speed of first train is slower than speed of second train. So if they catch up , the distance traveled will be same since they left the same station at different times.

But the time traveled will be different .

Let us say the two trains meet at time t ,

Distance = speed * time

Distance traveled by first train = 40 t

Since second train is leaving after three hours , so

Distance traveled by second train = 60(t-3)

As discussed earlier, distance traveled will be same, so

40t =60(t-3)

distributing 60 over t-3

40t =60t-180

60t -40t=180

20t =180

t =180/20

t=9

So the second train will meet the first at 9 p.m.

5 0
3 years ago
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Compounds are different than elements because compounds are-
lutik1710 [3]

Step-by-step explanation:

A compound contains atoms of different elements chemically combined together in a fixed ratio. An element is a pure chemical substance made of same type of atom. ... Compounds contain different elements in a fixed ratio arranged in a defined manner through chemical bonds. They contain only one type of molecule.

4 0
2 years ago
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