3 years ago

What is the frequency of the function y=2sin(1/2 x)-3 *

Mathematics

1 answer:

bazaltina [42]3 years ago

3 0

Answer:

-3

Step-by-step explanation:

y = 2sin (1/2 x 0) -3

y = -3

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Identify the factors of x2 − 4x − 12.

Alborosie

(x-6)(x+2)

When you foil it you get x^2+2x-6x-12
After you do this you then add like terms to get x^2-4x-12
Therefore the answer (x-6)(x+2) is correct.

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3 years ago

8 3/5 - 1 3/10 = ?<br><br> this is fractions

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1) $8 \frac{3}{5} - 1 \frac{3}{10}$

2) $8 \frac{6}{10} - 1 \frac{3}{10}$ =

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Answer
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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

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3 years ago