Cual es el valor de x? -5x+3=2×(x-1)

Hi please help me thanksss<br>pls provide workings too thanks :)

anygoal [31]

Step-by-step explanation:

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Class 11

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>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

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Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

4 0

2 years ago

The chance of you having the same DNA as another person (other than an identical twin) is approximately 1 in

Sphinxa [80]

Answer:

10×10^-13

Hope this helps!

8 0

3 years ago

Prove that x-y = √(x+y)^2-4xy?

Svetlanka [38]

Proved Below

$\Longrightarrow x-y = \sqrt{(x+y)^2-4xy}$

$\Longrightarrow x-y = \sqrt{x^2+2(x)(y)+ y^2-4xy}$

$\Longrightarrow x-y = \sqrt{x^2+2xy-4xy+y^2}$

$\Longrightarrow x-y = \sqrt{x^2-2xy+y^2}$

$\Longrightarrow x-y = \sqrt{(x-y)^2}$

$\Longrightarrow x-y =x-y$

6 0

2 years ago

Read 2 more answers

Plz tell me the aswer and how you worked it out. A tree grows to a height of 13.75m over 5 1/2 years. What is the average annual

marin [14]

1. Take your 13.75 and 5 1/2 and put it into a dividing table
_______
5.5 I13.75

you need to get your decimal out of deviser (5.5) will now be (55) because you moved the decimal over there you also need to move the decimal that is on the inside to and it will be (137.5)

2. When you divide you would get 2.5

3. Now you would know how much the tree grew over the 5 1/2 years.

ANSWER: 2.5m a year!

Hope this helped!

:)

4 0

3 years ago

Identify the initial amount a and the growth factor b in the exponential function.

alina1380 [7]

Given the equation A (x) = 30 x 8.3 ^x, we can get the initial amount of A when x is equal to zero. Therefore:

A (0) = 30 * 8.3^0

A (0) = 30

In this case the equation grows by 8.3 times as x increases. Therefore the growth factor is 8.3.

Answers:

initial amount = 30

growth factor = 8.3

The answers are not in the given choices. I believe you are giving the wrong equation. If the correct equation here is:

A (x) = 680 x 4.3 ^x

Then the answers are:

initial amount = 680

growth factor = 4.3

The answers are now in the choices given.

7 0

3 years ago