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Agata [3.3K]
3 years ago
9

3(x + 2) = 2x + 14 How many solutions

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

I solution; x=8

Step-by-step explanation:

You have to solve for x by simplifying both sides of the equation and then isolating the variable

3(x+2)= 2x+14

Distributive Property

3x+6=2x+14

Isolate the variable

3x+6-6=2x+14-6        which is 3x=2x+8

3x-2x=2x-2x+8

x=8

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A video game sets the points needed to reach the next level based on the function g(x) = 7(3)^(x − 1), where x is the current le
AleksandrR [38]
Good morning.


In level 4, the experience needed is:

\mathsf{g(4) = 7\cdot3^{4-1}}\\ \\ \mathsf{g(4) = 7\cdot3^3 = 7\cdot27}\\ \\ \mathsf{g(4) = 189}


In the hardest settings, the multiplier is:

\mathsf{h(4) = 4\cdot 4}\\ \\ \mathsf{h(4) = 16}


So, the adjusted experience points are: multiplier . base experience

\mathsf{E(x) = h(x)g(x)}\\ \\ \mathsf{E(4) = h(4)g(4) = 16\cdot 189}\\ \\ \boxed{\mathsf{E(4) = 3024 \ points}}
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Answer: none

Step-by-step explanation: there are no WHOLE numbers between 39

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Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada
oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

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