1. Which shows the Distributive Property?

Mathematics

1 answer:

VashaNatasha [74]3 years ago

5 0

Answer:

Im pretty sure its B for the first one

Step-by-step explanation:

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Which of the following phrases represents n ÷ 5? A.the quotient of a number and five B.a number decreased by five C.the sum of f

krok68 [10]

Answer:

the quotient of a number and five (A)

4 0

3 years ago

Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6) Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9

iragen [17]

Answer:

(b) –4g^4 – 3g^3 + 4g^2 + 5g + 3

Step-by-step explanation:

The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.

<h3>Combine Like Terms</h3>

g^2 + (–4g^4) + 5g + 9 + (–3g^3) + 3g^2 + (–6) . . . . given

The like terms are the g^2 terms and the constants.

= (1 +3)g^2 + (–4g^4) +5g +(9 +(–6)) +(–3g^3)

= 4g^2 +(–4g^4) +5g +3 +(–3g^3)

<h3>Write in Standard Form</h3>

In this form, the terms are written in order of decreasing degree.

= –4g^4 –3g^3 +4g^2 +5g +3

4 0

2 years ago

Pls Help - Calc. HW dy/dx problem

GREYUIT [131]

Answer:

$\displaystyle y' = \frac{-2}{x \ln (10)[\log (x) - 2]^2}$

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

$\displaystyle y = \frac{\log (x)}{\log (x) - 2}$

<u>Step 2: Differentiate</u>

[Function] Derivative Rule [Quotient Rule]: $\displaystyle y' = \frac{[\log (x) - 2][\log (x)]' - [\log (x) - 2]'[\log (x)]}{[\log (x) - 2]^2}$
Rewrite [Derivative Rule - Addition/Subtraction]: $\displaystyle y' = \frac{[\log (x) - 2][\log (x)]' - [\log (x)' - 2'][\log (x)]}{[\log (x) - 2]^2}$
Logarithmic Differentiation: $\displaystyle y' = \frac{[\log (x) - 2]\frac{1}{\ln (10)x} - [\frac{1}{\ln (10)x} - 2'][\log (x)]}{[\log (x) - 2]^2}$
Derivative Rule [Basic Power Rule]: $\displaystyle y' = \frac{[\log (x) - 2]\frac{1}{\ln (10)x} - \frac{1}{\ln (10)x}[\log (x)]}{[\log (x) - 2]^2}$
Simplify: $\displaystyle y' = \frac{\frac{\log (x) - 2}{\ln (10)x} - \frac{\log (x)}{\ln (10)x}}{[\log (x) - 2]^2}$
Simplify: $\displaystyle y' = \frac{\frac{-2}{\ln (10)x}}{[\log (x) - 2]^2}$
Rewrite: $\displaystyle y' = \frac{-2}{x \ln (10)[\log (x) - 2]^2}$