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Verdich [7]
2 years ago
8

-8x-27=-7\left(1+2x\right)+2x

Mathematics
1 answer:
Darina [25.2K]2 years ago
5 0

Answer:

x=5

Step-by-step explanation:

-8x-27=-7\left(1+2x\right)+2x

Expand:

-8x-27=-7\times 1-7\times 2x+2x

-8x-27=-7-12x

Add 27 to both sides:

-8x-27+27=-7-12x+27

-8x=-12x+20

Add 12x to both sides:

-8x+12x=-12x+20+12x

4x=20

Divide both sides by 4:

\frac{4x}{4}=\frac{20}{4}

x=5

You might be interested in
In which choice do all three points lie on the
spin [16.1K]

Answer:

D (1, 2), (2, 4), (4,8)

Step-by-step explanation:

Points lying on the same line:

If three points lie on the same line, the change in y has to be always the same when x changes by 1.

А. (0, 1), (-1, 3), (1, 3)

(-1,3) to (0,1): x changes by 1, y by -2

(0,1) to (1,3): x changes by 1, y by 2

So these points are not on the same line.

B. (4, 2), (2, 1), (4, -2)

Two values for y when x = 4, so not on the same straight line.

C (0, 0), (8, 0), (0, 8)

Two values for y when x = 0, so not on the same straight line.

D (1, 2), (2, 4), (4,8)

Here, when x changed by 1(from 1 to 2), y changed by 2.

When x changed by 2(from 2 to 4), y changed by 2*2 = 4.

So these points are on a straight line, and D is the correct answer.

4 0
2 years ago
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.

7 0
3 years ago
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
7+3x−12x=3x+17+3x−12x=3x+1 solve for X
mariarad [96]
X is equal to -11/6 or -1.8333333333..................................
4 0
3 years ago
Read 2 more answers
SUPER EASY FOR POINTS!!!!solve: x-3=3x-2
Savatey [412]

Answer:

Polynomial equation solver

x-3=3x-2

Standard form:

−2x − 1 = 0

Factorization:

−(2x + 1) = 0

Solutions:

x = −1

2

= -0.5

3 0
2 years ago
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