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3 years ago

X + 6 = 2x - 8 x= solve for x

Mathematics

1 answer:

nata0808 [166]3 years ago

8 0

Step-by-step explanation:

x + 6 = 2x - 8

1. Subtract 2x from both sides

x - 2x + 6 = 2x - 2x - 8

2. Simplify

-x + 6 = -8

3. Now, subtract 6 from both sides

-x + 6 - 6 = -8 - 6

4. Simplify

-x = -14

5. Divide both sides by -1 because you would want the x by itself instead of having -x

-1x/-1 = -14/-1

6. Simplify

x = 14 <------ Answer

Hope that helped!!

~Shane

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Step-by-step explanation:

Let $y(x)=f(x)g(x)h(x)$ where

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$g(x)= (1 -2x^5)^6$

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so that

$y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2$

Recall that the derivative of the product of functions is

$y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)$

so taking the derivatives of the individual functions, we get

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So the derivative of y(x) is given by

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)$

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2$

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$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)$

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2 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

Given that:

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That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

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