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3 years ago

which of the following shows the graphical representation of the solution for the one-variable linear equation 2x-1=3

Mathematics

1 answer:

Andrej [43]3 years ago

6 0

For this case we have the following equation:

$2x-1 = 3$

If we add 1 to both sides of the equation we have:

$2x = 3 + 1\\2x = 4$

Dividing between 2 on both sides of the equation we have:

$x = \frac {4} {2}\\x = 2$

The graph of the solution is shown in the attached figure.

Answer:

See attached image

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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:

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

<em>Translation:</em>

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

3 years ago

A game is being played with two players. There are 21 balloons and the player who pops the last balloon wins. One or two can be

34kurt

Answer:

be the second player, and always leave a multiple of 3 balloons

Step-by-step explanation:

In order to win, a player must force the other player to leave one or two balloons. To do that, the winning player must leave one more balloon than the maximum number that can be popped. That is, the winner will be the player who leaves 3 balloons,

Working backward, we find that the winner must leave a multiple of 3 after each turn. Since the starting number is a multiple of 3, the first player must lose if the second player plays optimally.

The winning strategy is ...

be the second player
always leave a multiple of 3 balloons.

4 0

3 years ago

The movie started at 11:45 and ended at 1:20 how long was the movie

igor_vitrenko [27]

11:45 ---> 01:20

11:45 + (00:15 + 01:00 + 00:20)

= 01:20

So your answer is:

01:35 which is 1 hr, 35 mins.

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3 years ago

The price of pair of shoes is $63.20. The sales tax rate is 4.5 percent. How much sales tax would you pay if you bought these sh

olga nikolaevna [1]

The answer to the problem is as follows:

We can convert 4.5% into a decimal form by moving the decimal to the left two places. This becomes: .045

<span>63.20 x .045 = $2.84

</span>I hope my answer has come to your help. God bless and have a nice day ahead!

4 0

3 years ago

Read 2 more answers

Are their always the same number of prime numbers between 2 consecutive multiples of 10

Harlamova29_29 [7]

Yes there are. Its just the way they work out!

3 0

3 years ago

which of the following shows the graphical representation of the solution for the one-variable linear equation 2x-1=3​

which of the following shows the graphical representation of the solution for the one-variable linear equation 2x-1=3