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3 years ago

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

1 answer:

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:

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Which quadratic equation has roots - 2 and 1/5 :

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Answer:

$5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0$

Step-by-step explanation:

$sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0$

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2 years ago

For the following graph , determine the coordinates of the vertex and the y intercept of the parabola.

Rus_ich [418]

Answer:

Vertex : 5

Y - intercept : (0,-4)

Step-by-step explanation:

-4 is on the y-axis.

Vertex is the maximum or the minimum point of the parabola.

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2 years ago

Read 2 more answers

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djyliett [7]

The answer is;

160 + (-125) + 40 = 75

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3 years ago

Read 2 more answers

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2 years ago

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m_a_m_a [10]

Answer:

can't be determined

Step-by-step explanation:

we would need to know the total number of bars/chips he brought

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2 years ago