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3 years ago

can someone give me the answers ( the answers are on the last page of the worksheet but like I have no idea how to do the work)

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

Answer:

Step-by-step explanation:

-8-4v=40 add 8 to both sides

-4v=32 divide both sides by -4

v= -8

3v+2v=25

5v=25 divide both sides by 5

v=5

x/2 - 8 = -14 add 8 to both sides

x/2= - 6

-6 * 2= -12

check

-12/2-8=-14

-6-8=-14

-14= -14

-6+n/3= -3 add 6 to both sides

n/3=3

3*3=9

check

-6+9= -3

-3 = -3

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Answer:

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Reciprocals

Algebra II

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

Calculus

Derivatives

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

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Step-by-step explanation:

Step 1: Define

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

Step 2: Differentiate

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: $\frac{dx}{dt} = (1-2x)(x-1)$