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3 years ago

14

Define the opposite and the absolute value of 6

2 answers:

dedylja [7]3 years ago

7 0

Opposite value is -6 because opposite value is the distance on a number line between the number and zero, absolute value is + 6

Yakvenalex [24]3 years ago

5 0

The opposite is a negative so the answer would be -6

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I guess I'm lacking in differential equations. I couldn't solve this question. Can you help me?

Sonja [21]

Answer:

See Explanation.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

Reciprocals

<u>Algebra II</u>

Log/Ln Property: $ln(\frac{a}{b} ) = ln(a) - ln(b)$

<u>Calculus</u>

Derivatives

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative of Ln: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

<u>Step 1: Define</u>

$ln(\frac{2x-1}{x-1} )=t$

<u>Step 2: Differentiate</u>

Rewrite: $t = ln(\frac{2x-1}{x-1})$
Rewrite [Ln Properties]: $t = ln(2x-1) - ln(x - 1)$
Differentiate [Ln/Chain Rule/Basic Power Rule]: $\frac{dt}{dx} = \frac{1}{2x-1} \cdot 2 - \frac{1}{x-1} \cdot 1$
Simplify: $\frac{dt}{dx} = \frac{2}{2x-1} - \frac{1}{x-1}$
Rewrite: $\frac{dt}{dx} = \frac{2(x-1)}{(2x-1)(x-1)} - \frac{2x-1}{(2x-1)(x-1)}$
Combine: $\frac{dt}{dx} = \frac{-1}{(2x-1)(x-1)}$
Reciprocate: $\frac{dx}{dt} = -(2x-1)(x-1)$
Distribute: $\frac{dx}{dt} = (1-2x)(x-1)$

8 0

3 years ago

Read 2 more answers

Are relstioships that have an initial fee proportional or non-proportionial?

Katyanochek1 [597]

They are non-proportional because the y-value doesn't depend on what the x-value is and the x-value only. Hope this helps!

3 0

3 years ago

LCM of 900 and 400 plz show step by step

OLga [1]

Answer:3,600

Step-by-step explanation:

Find the Prime factorization of 400: 2x2x2x2x5x5

Find the Prime factorization of 900: 2x2x3x3x5x5

Multiply each factor the greater number of times it occurs: 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5= 3,600

5 0

3 years ago

13 out of 10 of a number is what percentage of that number

kow [346]

130% let me know if I’m right!

4 0

3 years ago

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If(a-b) =4 and ab=2,find the value of a^2+b^2

AURORKA [14]

Answer:

a² + b² = 20

Step-by-step explanation:

Given

(a - b) = 4 ← square both sides

(a - b)² = 4²

a² - 2ab + b² = 16 ← substitute ab = 2

a² - 2(2) + b² = 16

a² - 4 + b² = 16 ( add 4 to both sides )

a² + b² = 20

6 0

3 years ago