Calculate the discriminant.<br><br> x2 – x

Un alumno multiplica un número por 32 en lugar de multiplicarlo por 23, obteniendo un producto mayor en 54 al producto original.

romanna [79]

Answer:

La suma de cifras del producto original es igual a 12.

Step-by-step explanation:

De acuerdo a la información proporcionada, si multiplicas un número "x" por 32 su resultado sería igual al producto original "y" más 54 dado que dice que se obtiene un producto mayor en 54 al producto original, lo que se puede expresar de la siguiente forma:

32x=y+54

Además, se puede inferir a partir del enunciado que si el número x se hubiera multiplicado por 23 el resultado habría sido el producto original que lo denominamos como "y", por lo que puedes decir que:

y=23x

Ahora puedes reemplazar y=23x en 32x=y+54 y despejar x:

32x=23x+54

32x-23x=54

9x=54

x=54/9

x=6

Finalmente, puedes reemplazar el valor de x en y=23x:

y=23x

y=23*6

y=138

Suma de cifras: 1+3+8 = 12

De acuerdo a esto, la respuesta es que la suma de cifras es igual a 12.

5 0

2 years ago

The height of a cylinder is equal to the diameter of the base What expression represents the volume of the cylinder, in cubic un

Sveta_85 [38]

Answer: 3 units

Step-by-step explanation:

the volume of a cone C = πr²h/3

C = 18π, h =2x, r = diameter/2 = 2x/2 =x

18π = π* x²* 2x/3

divide through by π

18 = x² * 2x/3

multiply through by 3

54 = 2x³

divide through by 2

27 = x³

x =∛27 = 3

x = 3 units = radius

4 0

3 years ago

Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.

natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is $y=x-x^2-2$ and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

$y'=1-2x$

It can be written as

$\frac{dy}{dx}=1-2x$

Use variable separable method to solve this differential equation.

$dy=(1-2x)dx$

Integrate both the sides.

$\int dy=\int (1-2x)dx$

$y=x-2(\frac{x^2}{2})+C$ $[\because \int x^n=\frac{x^{n+1}}{n+1}]$

$y=x-x^2+C$ ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

$-2=1-(1)^2+C$

$-2=1-1+C$

$-2=C$

The value of C is -2. Substitute C=-2 in equation (1).

$y=x-x^2-2$

Therefore the solution of the given initial value problems in explicit form is $y=x-x^2-2$ .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0

2 years ago

PLEASE HELP ME SOMEONE

n200080 [17]

Answer:

Option 2: 27 is the correct answer.

Step-by-step explanation:

Given functions are:

$f(x) = x^2-2\\g(x) = 4f(x) - 1$

As we can see that the function g(x) in written in terms of f(x), first of all we have to find g(x) by putting the value of f(x) in g(x)

So putting f(x) = x^2-2 in g(x)

$g(x) = 4(x^2-2)-1\\= 4x^2-8-1\\=4x^2-9$

As g(-3) has to be found, putting x=-3 in g(x)

$g(-3) = 4(-3)^2-9\\= 4(9)-9\\=36-9\\=27$

Hence

Option 2: 27 is the correct answer.

5 0

2 years ago

A shopkeeper gained a profit of 12% by selling an article for birr 560. what was the cost price?

AveGali [126]

Answer:

The cost price was 500.

Step-by-step explanation:

Let x be the original price.

$x\times(1+12\%)=560$

$x\times(1+0.12)=560$

$1.12x=560$

$1.12x/1.12=560/1.12$

$x=500$

4 0

2 years ago

Read 2 more answers

Calculate the discriminant. x2 – x – 2 = 0