What is decimal expansion of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B284%7D%7B3%7D" id="TexFormula1" title="\frac{284}{3}" a

Halla la tasa de variación de cada funcion en el intervalo [-4,3] e indica si es positiva , negativa o nula A) f(x)=x2-2x+4 B) f

masya89 [10]

Answer:

$A) \hspace{3}Rate\hspace{3}of\hspace{3}change=-5\hspace{3}Negative\\\\B)\hspace{3}Rate\hspace{3}of\hspace{3}change=-21\hspace{3}Negative$

Step-by-step explanation:

Given a function $f(x)$ , we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value " $x_1$ " to another " $x_2$ ".

The rate of change of $f(x)$ between $x_1$ and $x_2$ can be calculated as follows:

$Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)$

For:

$f(x)=x^2-2x+4$

Let's find $f(x_1)$ and $f(x_2)$ , where:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7$

So:

$Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative$

And for:

$f(x)-3x+2$

Let's find $f(x_1)$ and $f(x_2)$ , where:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7$

So:

$Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative$

Translation:

Dada una función $f(x)$ , llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor " $x_1$ " a otro " $x_2$ ".

La tasa de variación de $f(x)$ entre $x_1$ y $x_2$ , puede ser calculada de la siguiente forma:

$Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)$

Para:

$f(x)=x^2-2x+4$

Encontremos $f(x_1)$ y $f(x_2)$ , donde:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7$

Entonces:

$Tasa\hspace{3}de\hspace{3}variacion =7-12=-5\hspace{3}Negativa$

Y para:

$f(x)-3x+2$

Encontremos $f(x_1)$ y $f(x_2)$ , donde:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7$

Entonces:

$Tasa\hspace{3}de\hspace{3}variacion=-7-14=-21\hspace{3}Negativa$

8 0

4 years ago

kissa brought an item at Tsh 250,000/= she sold it by a certain price and got loss of 1/4 of the buying price. find the percenta

eimsori [14]

Answer:

Loss %age = 25%

Step-by-step explanation:

Cost Price of Item = 250,000/-

Loss = 1/4 = 0.25 of 250,000

=> 62,500 /-

%age Loss = $Loss*100/Cost Price$

=> 62,500 * 100 / 250,000

=> 6,250,000/250,000

=> 25 %

5 0

3 years ago

Please answer quickly Ill give brainliest.

Harman [31]

Answer:

B

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

At the fast food restaurant, an order of fries costs $1.05 and a drink costs $1.07. How much would it cost to get 3 orders of fr

trasher [3.6K]

Answer:

$7.43

Step-by-step explanation:

f (fries) = 1.01

d (drinks) = 1.07

1.05f + 1.07d = ?

To solve this problem, you need to replace the variable with the amount of each item.

1.05(3) + 1.07(4) = ?

Now we can solve by multiplying and adding:

3.15 + 4.28 = ?

7.43

5 0

2 years ago

Use the table below to make a scatter plot of the data pairs (years since 1960, population) PLEASE HELP

Tpy6a [65]

Take 1960 as 0 then find out next year's

1970=10
1980=20
1990=30
2000=40
2005=45
2010=50

Also

Divide each population by one thousand i.e turn to decimal .

This we done to create the plot on graph easily

The graph has been attached

for the below points

(0,9.706)
(10,10.652)
(20,10.798)
(30,10.847)
(40,11.353)
(45,11.478)
(50,11.576)

7 0

2 years ago

Read 2 more answers