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Oduvanchick [21]

3 years ago

5

The Thomas family downloads 4 digital movies in one month. Each movie costs $4.99, and they downloaded each movie on a Saturday

night. About how much did they spend to download the movies?

1 answer:

vekshin13 years ago

6 0

Answer:

There is extra information.

Step-by-step explanation:

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F(x)=2x^2+4x-16<br> g(x)=4x^2-16<br> Find (f/g)(x).

Nastasia [14]

Answer:

Step-by-step explanation:

$(\frac{f}{g} )(x) = \frac{2x^{2} +4x-16}{4x^{2} -16}$

2x²+4x -16 = 2(x²+2x-8); factor 2

= 2(x+4)(x-2) ;factor the quadratic equation

4x²-16 = 4(x²-4) ; factor 4

=4(x²- 2²) ; rewrite 4 as 2²

= 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)

so now we have:

$(\frac{f}{g}) (x) = \frac{2(x+4)(x-2)}{4(x-2)(x+2)}$ ; simplify (x-2) from numerator and denominator

and 2/4 as 1/2

$(\frac{f}{g}) (x) = \frac{(x+4)}{2(x+2)}$

8 0

3 years ago

Which statement describes the behavior of the function f (x) = 2 x Over 1 minus x squared

Nitella [24]

What grade is this haha idk

4 0

3 years ago

Angelica is five years less than double Jahiem’s age. Jahiem is 14 years old. How many years old is Angelica?

RoseWind [281]

Angelica is 23

Steps
Use the equation x=2j-5
Plug in jahiems age (14) for j and solve for c

3 0

3 years ago

How can I trust your guys

Zinaida [17]

Answer:

Step-by-step explanation:

you just do, everyone in here needs help so i dont think theres people in here just messing arround, you can trust.

7 0

3 years ago

Read 2 more answers

Find the derivative of ln(cosx²).

RoseWind [281]

Answer:

$\displaystyle \frac{dy}{dx} = -2x \tan (x^2)$

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle y = \ln (\cos x^2)$

<u>Step 2: Differentiate</u>

Logarithmic Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}$
Trigonometric Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}$
Basic Power Rule: $\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}$
Rewrite [Trigonometric Identities]: $\displaystyle y' = -2x \tan (x^2)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0

3 years ago