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3 years ago

Solve for x. x3 = 216

2 answers:

7 0

I'm assuming the equation is x^3 = 216 or $x^3 = 216$ (both mean the same thing)

If so, then the solution to x^3 = 216 is x = 6

<span>We can find this by taking the cube root of both sides
</span>x^3 = 216
x = 216^(1/3) .... 1/3 power means cube root
x = 6

Checking the answer:
x^3 = 216
6^3 = 216
6*6*6 = 216
216 = 216
Answer is confirmed

So once again the answer is x = 6. This is assuming the initial assumption made at the top of the problem holds up.

Goryan [66]3 years ago

4 0

Answer:

the answer is x=6

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Resolver el siguiente sistema de ecuación:

snow_tiger [21]

Answer:

$x=-1\\y=4$

Step-by-step explanation:

$\frac{5x+2y}{3}=1$

$\frac{2x+y}{2}=1$

Vamos a utilizar el método de sustitución. Vamos a despejar la segunda ecuación por alguna de las variables. Elegiré la y porque esta sola.

$\frac{2x+y}{2}=1$

Vamos a empezar por eliminar ese 2 del denominador. Para hacer esto, multiplicamos por 2 ambos lados de la ecuación.

$2x+y=1*2$

$2x+y=2$

Como vamos a despejar la y, restamos 2x en ambos lados.

$y=2-2x$

Listo.

------------------------------------------------------------------------

Procedemos a reemplazar el valor de y en la primera ecuación.

$\frac{5x+2y}{3}=1$

$\frac{5x+2(2-2x)}{3}=1$

$\frac{5x+4-4x}{3} =1$

Procedemos a operar términos semejantes.

$\frac{x+4}{3} =1$

Nos deshacemos del 3 multiplicando.

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

Restamos 4

$x=3-4\\x=-1$

-----------------------------------------------------------------------------

Una vez encontrado el valor de x, procedemos a reemplazar en cualquier ecuación para encontrar el valor de y. Usaré la segunda ecuación.

$\frac{2x+y}{2}=1$

$\frac{2(-1)+y}{2}=1$

Procedemos a resolver;

$\frac{-2+y}{2} =1$

Multiplicamos por 2.

$-2+y=1*2$

$-2+y=2$

Sumamos 2

$y=2+2\\y=4$

-------------------------------------------------------------------------------

Para comprobar que los valores son correctos, reemplazamos ambos valores en cualquier ecuación y el resultado debe ser igual.

Usaré la primera.

$\frac{5x+2y}{3} =1$

$\frac{5(-1)+2(4)}{3} =1$

Resolvemos;

$\frac{-5+8}{3} =1$

$\frac{3}{3}=1$

$1=1$

6 0

4 years ago

Explain the difference between prime and composite numbers

Fed [463]

Prime only has two factors one and its self a composite number has more factor than one and its self
exsample: 12 - 1,2,3,4,6,12 = 12 is a composite number
7 - 1,7 =prime number

4 0

3 years ago

Give an example of an odd function and explain algebraically why it is odd.

tatuchka [14]

An odd function is a function of a form $y=x^n$ where n is an odd number.

Some examples would be functions:

$y=x,y=x^3,\dots$ .

A formal definition of odd function is the following.

(Algebraic proof).

Let $f:\mathbb{R}\to\mathbb{R}$ (real function).

The function is odd if the below equation is true for all x and -x for which the function is defined:

$f(x)=-f(-x)$ .

Hope this helps.

7 0

3 years ago

Peter is x years old and his sister is 5 years older. If the product of their ages is 84, form an equation in x and solve it to

daser333 [38]

Answer:

x^2 + 5x - 84 = 0

x = 7

Step-by-step explanation:

let the sister's age = y

sister's age (y) = 5 + x equation 1

xy = 84 equation 2

Make y the subject of the formula in equation 2

y = 84/x

equate equation 1 and 2

84/x = 5 + x equation 3

Multiply equation 3 by x

84 = 5x + x^2

x^2 + 5x - 84 = 0

tjis can be solved using quadratic equation

x^2 -7x + 12x -84 = 0

x(x + 12) -7(x + 12)

x = 7 or - 12

age cant be negative so his age is 7

3 0

3 years ago

A movie rental website charges $5.00 per month for membership and $1.25 per movie.

Law Incorporation [45]

Well she has to spend £5 on membership and so she has £24.75 left and one movie is £1.25 so you do 24.75 / 1.25 to get 19.8 so she can view 19 movies this month. Hope this helps :)

5 0

3 years ago