Victoria had some money in her wallet. she went to the mall and spent $8 on a stuffed animal, $7 on lunch and $13 on a gift for her mom. than her brother gave her $10. she bought a book for $15. now she has $12. how much money did victoria originally have in her wallet?

 The required amount of money that Victoria originally had in her wallet is $45.

Step-by-step explanation:  Given that Victoria had some money in her wallet. she went to the mall and spent $8 on a stuffed animal, $7 on lunch and $13 on a gift for her mom.

Then, her brother gave her $10 and she bought a book for $15. Now, she has $12.

We are to find the amount of money that Victoria originally had in her wallet.

Let $ x represents the amount of money that Victoria originally had in her wallet.

Then, according to the given information, we have

Thus, the required amount of money that Victoria originally had in her wallet is $45.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation: