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Mademuasel [1]
3 years ago
13

What value of x makes the equation true?

Mathematics
2 answers:
Gekata [30.6K]3 years ago
5 0
Any answer choices? BUT if your SOLVING for x then x=5
kramer3 years ago
4 0

Answer:  The required value of x for which the given equation is true is 5.

Step-by-step explanation:  We are given to find the value of x for which the following equation is true :

\dfrac{1}{2}(4x-5)+\dfrac{5}{2}=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the value of x, we need to solve the given equation.

The solution of equation (i) is as follows :

\dfrac{1}{2}(4x-5)+\dfrac{5}{2}=10\\\\\\\Rightarrow \dfrac{4x-5+5}{2}=10\\\\\\\Rightarrow \dfrac{4x}{2}=10\\\\\\\Rightarrow 2x=10\\\\\\\Rightarrow x=\dfrac{10}{2}\\\\\Rightarrow x=5.

Thus, the required value of x for which the given equation is true is 5.

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13. En un pueblo, 5 personas escucharon una noticia. En una hora, cada una de ellas
Vera_Pavlovna [14]

Answer:

En 5 horas se habrá enterado todo el pueblo.

Step-by-step explanation:

Sabemos que en un pueblo 5 personas escucharon una noticia.

Una hora más tarde, cada una de ellas le contó la noticia a otras 5.

Luego, éstas contaron la noticia a otras 5 y así sucesivamente.

Nadie cuenta ni escucha la noticia más de una vez y en ese pueblo hay un poco más de 19000 habitantes.

La ecuación a desarrollar para resolver el problema es la siguiente :

Comenzamos con 5 personas que escucharon la noticia a la ''hora 0''.

Una hora más tarde, cada una de ellas le contó a 5 personas, es decir , pasada la primera hora tendremos :

5+5^{2}=30 (I)

Las 5 personas originales de la ''hora 0'' más 25 personas que se enteraron pasada la primera hora. La ecuación que planteamos es la siguiente :

5^{1}+5^{2}+5^{3}+...+5^{x}>19000 (II)

Buscamos el valor de x que satisface la ecuación (II).

Probando y realizando las sumas encontramos que :

5^{1}+5^{2}+5^{3}+5^{4}+5^{5}+5^{6}>19000

19530>19000

El valor de x que satisface (II) es x=6.

Para hallar el número de horas nos fijamos que en (I) el valor del mayor exponente del 5 es el número 2. Para ese valor 2, el tiempo que pasó es una hora.

Entonces para nuestro x=6, el número de horas que pasaron son 5 horas (1 menos que el valor de x)

Todo el pueblo se habrá enterado en 5 horas de la noticia.

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3 years ago
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Slope 2/1, y intercept is 6, equation is f(x)=6-2x
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3 years ago
A celebrity called Wayne East has been having some money problems recently. He is thinking of investing in the greatest record i
fgiga [73]

Answer:

Wayne west would have $5,015 in six months

Step-by-step explanation:

The formula for exponential regression model is y = αβˣ

Where y is amount of money in 1000 dollars

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We are given that α = 4.2 and  β = 1.03 and x = 6 months

Therefore, based on this model, y = αβˣ, the amount he would have in 6 months, y = 4.2*(1.03) ^{6}

y = 5.015 × 1000 = $ 5,015

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How do I simplify the expressions with positive exponents?​
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