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3 years ago

Find f(4) if f(x) = 3x + 1

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Answer:f(4)=−3x−1 f ( 4 ) = - 3 x - 1.

Step-by-step explanation:ff(4)=−3x−1 f ( 4 ) = - 3 x - 1.

f(4)=−3x−1 f ( 4 ) = - 3 x - 1. Replace the variable x x with 4 4 in the expression. f(4)=−3⋅4−1 f ( 4 ) = - 3 ⋅ 4 - 1. Simplify the result.

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¿En cuánto se convierte un capital de C=$8,000 después de n=5 años a una tasa de interés compuesto del i=10% anual?

slava [35]

Evaluando una ecuación exponencial, veremos que luego de 5 años el capital se convierte en $12,884.08

<h3>¿En cuánto se convierte el capital?</h3>

Esta situación se podra modelar con la ecuación exponencial:

f(n) = $8,000*(1 + 10%/100%)ⁿ

Donde n es el número de años.

Podemos simplificar la ecuación para obtener:

f(n) = $8,000*(1.1)ⁿ

Ahora queremos ver el valor que toma esto cuando n = 5, asi obtenemos:

f(n) = $8,000*(1.1)⁵ = $12,884.08

Así que luego de 5 años, el capital se convierte en $12,884.08.

Sí quieres aprender más sobre ecuaciones exponenciales:

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2 years ago

5/4 in a decimal pls help

balu736 [363]

Just divide 5/4 = 1.25. Thank you.

6 0

3 years ago

What is the y-intercept of the function f(2)=4-5x?<br>-5<br>-4<br>4<br>5<br>

natka813 [3]

C. 4

First, rearrange the equation into slope intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. You get y = -5x + 4. This means the y-intercept is 4.

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4 years ago

Read 2 more answers

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

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3 years ago

Solve the system of linear equations using linear combination. 3a + 6b = 45 2a – 2b = –12 Which is the solution to the system?

gogolik [260]

A = b - 6
9b - 18 = 45
b = 7
a = 1

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3 years ago

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