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Lemur [1.5K]
3 years ago
15

Find all solutions in the interval [0, 2π). 7 tan^3x - 21 tan x = 0

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

To solve this problem, the first thing we can do is to take out 7 tan (x) from the whole equation, this results in simplification:

7 * tan (x) * (tan (x)^2 - 3) = 0 

Therefore the initial roots are taken from:

tan (x) = 0

Calculating for x:

x = 0, pi

 

The other roots can be taken from:

(tan (x)^2 - 3) = 0 

Calculating for x:

tan (x)^2 = 3

tan (x) = ± sqrt (3)  

x = pi/3 , 2pi/3 , 4pi/3 , 5pi/3 

 

Therefore the solutions are:

<span>0 , pi, pi/3 , 2pi/3 , 4pi/3 , 5pi/3 </span>

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Anya’s team won 5 out of every 7 games this season.
spin [16.1K]

Answer:

20 out of 28 games.

Step-by-step explanation:

28 divided by 7 is 4.

5 times 4 is 20.

20 out of 28 games.

(This is simple math honestly.)

7 0
2 years ago
What is the slope of the line that passes through the points (-4, 0) and (-4, -10)? Write your answer in simplest form.
Tresset [83]

Answer:

<h2>         There is no slope.</h2>

Step-by-step explanation:

slope=\dfrac{y_2-y_1}{x_2-x_1}

It means that for a line passing through two points to have the slope, the x-coordinates of these point have to be different.

(-4, 0) and (-4, -10) means x₁ = x₂ = -4, <u>so there is no slope.</u>

{the line is parallel to Y-axis, and has an equation:  x=-4}

4 0
3 years ago
Mean median mode range of 13,11,8,8,12,8
igomit [66]
I think the median is 8 or 11
7 0
3 years ago
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What happens to the surface area of a rectangular prism when the dimensions are halved.
Fittoniya [83]
It becomes a cube yessssd
4 0
3 years ago
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3 Write a numerical expression to model the words. Subtract 1 from the product of 4 and 5.​
umka21 [38]

Answer:

Hello!

After reading the question you have provided I have come up with the correct numerical expression:

4x5-1

Step-by-step explanation:

To come up with this solution you need to keep in mind some of the terminoloy being used.

The word "subtract" comes from the action of subtraction

The word "product" comes from the action of multiplication

Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".

So you get the first part being 4x5

Then, you add in the last part of "subract 1" from the "product of 4 and 5":

4x5-1

<em>Remember to keep in mind the rule of "PEMDAS"</em>

You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.

7 0
3 years ago
Read 2 more answers
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