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natali 33 [55]
3 years ago
6

Factor 3x^4+5x^3-11x^2+3x

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

x(x-1)(3x-1)(x+3)

Step-by-step explanation:

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Please help me solve this exercise.!!
Volgvan
<h3>Answer:  -4/3</h3>

=============================================================

Explanation:

Let's square both sides and do a bit of algebra to get the following.

\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\

Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25

This then means tan(2x) = sin(2x)/cos(2x) = 24/7.

From here, you'll use this trig identity

\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\

which is the same as solving

\tan(2x) = \frac{2w}{1-w^2}\\\\

where w = tan(x)

Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4

So either tan(x) = -4/3 or tan(x) = 3/4.

If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.

Since tan(x) < 0 in this case, we go for tan(x) = -4/3

8 0
3 years ago
What are the steps to find lower and upper quartiles of a data set
jenyasd209 [6]
The lower quartile is the value of the middle of the first set.

The upper quartile is the value of the middle of the second set.
5 0
2 years ago
How much canvas is needed to cover the bottom of a tent if the center pole is 7ft from the edge?
juin [17]

The area (A) of a circle with radius r is given by

... A = π·r²

For a radius of 7 ft, the area is

... A = π·(7 ft)² = 49π ft² ≈ 154 ft²

The area of the bottom of a circular tent with radius 7 ft is about 154 ft².

8 0
3 years ago
If Holly gets 14 % off a shirt , what percent of the original price will still pay​
scoundrel [369]

Answer:

Holly will still pay 86% of the original price.

Step-by-step explanation:

Given

  • Holly gets 14% off a shirt, so
  • Discount = 14%

To determine

What percent of the original price will still pay.

All we need is to subtract the percentage of discount from 100.

i.e.

100 - Discount = 100 - 14 = 86%

The amount left over would be what remains of the original price after Holly gets 14 % off a shirt.

Thus, Holly will still pay 86% of the original price.

3 0
3 years ago
HELP PLEASE 23 POINTS I NEED U RN I NEED U GORL
artcher [175]

Answer:

No

Step-by-step explanation:

He is not correct because paper is a one-denominational surface, and volume only comes from 3 denominational objects.  

6 0
3 years ago
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