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2 years ago

Solve the equation 2(x-10)= 24 , what is the value of x

Mathematics

2 answers:

abruzzese [7]2 years ago

6 0

The answer is x=22

U divide both sides by the numeric factors on the left and then u solve

N76 [4]2 years ago

5 0

Answer:

$x=22$

Step-by-step explanation:

$2(x-10)=24$

Distribute the parenthesis

$2x-20=24$

Add 20 to both sides

$2x=44$

Divide both sides by 2

$\frac{2x}{2} =\frac{44}{2}$

$x=22$

Hope this helps

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5²×5³×5=(5×5)×(5×5×5)×5

Vlada [557]

Answer:

15625

Step-by-step explanation:

your method is correct

6 0

2 years ago

Read 2 more answers

When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a

djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

As there’s no direct way to find x, we can use the Bhaskara formula:

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) + 75 = -78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.

Window x = [ -15, 0] y = [ -78.125, 75]

5 0

3 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

Please help and explain please

butalik [34]

The greatest remainder with 3 is 2, the greatest remainder with 8 is 7, and the greatest remainder with 5 is 4, all because if it was one more then it would not be remaining and it would be without a remainder. Hope this helps!

4 0

3 years ago

Which is the best interpretation of the solution set for the compound inequality?

andriy [413]

Answer:

all real numbers

Step-by-step explanation:

Here is the solution to the first inequality:

3(2x +1) > 21 . . . . . . given

6x +3 > 21 . . . . . . . . eliminate parentheses

6x > 18 . . . . . . . . . . .subtract 3

x > 3 . . . . . . . . . . . . divide by 6

This is all numbers to the right of 3 on the number line.

The solution to the second inequality is ...

4x +3 < 3x + 7 . . . . given

x < 4 . . . . . . . . . . . . subtract 3x+3

This is all numbers to the left of 4 on the number line.

The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. Any value of x will satisfy one or the other or both of these inequalities. The solution is all real numbers.

7 0

3 years ago