3 years ago

Solve the inequality for x ...-5x + 20 5a. x>5b. x 3d. x < -5

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer:

Step-by-step explanation:

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3 of 4 is not the correct way of writing a ratio.

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Differentiate the following functions (x^3+1)(x-2)÷x^2

Masja [62]

Given:

The given function is:

$\dfrac{(x^3+1)(x-2)}{x^2}$

To find:

The differentiation of the given function.

Solution:

Consider the given function,

$y=\dfrac{(x^3+1)(x-2)}{x^2}$

It can be written as:

$y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}$

$y=\dfrac{x^4-2x^3+x-2}{x^2}$

$y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}$

$y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}$

Differentiate with respect to x.

$y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})$

$y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})$

$y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}$

Therefore, the differentiation of the given function is $2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}$ .

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3 years ago

A computer printer can print a 640-word document in 30 seconds. At this rate, how many seconds are required to print a document

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The unit rate is 21.3333333333333333. So, the printer can print 21.3333333 word doc in 1 sec
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3 years ago

Amilia walk 35 mile. She was so tired that she take a brake for 1 minutes. Then she started to walk 15 mile away from her house.

suter [353]

Answer:

50 miles

Step-by-step explanation:

35 + 15

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4 years ago

Solve 2x ≤30 round to the nearest ten thousand

Sliva [168]

Answer:

x ≤15

Step-by-step explanation:

2x ≤30

Divide each side by 2

2x/2 ≤30/2

x ≤15

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3 years ago