jaumonking
25.07.2020 •
Mathematics
A Rosa le gusta jugar con su primo Eduardo utilizando números. Rosa le planteó encontrar dos números que sumados den 15 y que el doble de uno de ellos sea igual al otro más 3 unidades, ¿De qué números se trata?
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Ответ:
Los números son 6 y 9
Step-by-step explanation:
Este problema se puede resolver por medio de un sistema de ecuaciones.
El primer número será x y el segundo número será y.
Sabemos que los dos números suman 15, por lo tanto esto se puede escribir como:
Por otro lado sabemos que el doble de uno de ellos es igual al otro más 3 unidades, esto lo podemos escribir de la siguiente manera:
(el doble del primero es igual al segundo más 3)
Reescribiendo esta segunda ecuación tenemos:
Por lo tanto, nuestras dos ecuaciones son:
Resolviendo el sistema por el método de reducción observamos que, si sumamos ambas ecuaciones, las y se cancelan y quedamos con:
Ahora, sustituimos este valor en la primera ecuación para obtener el valor de y:
Por lo tanto, los números son 6 y 9
Ответ:
Answer with explanation:
Equation of Parabola that opens Downward having vertex at (0,4) is given by:
It is also given that, vertex of a second parabola is at (0, –4).
Also, it is given that Parabola Intersect at two points.
So, the parabola must open upward to intersect at two points.
Equation of Parabola having vertex (0,-4) ,is given by:
It is not necessary that , point of intersection is on the x axis, the two parabolas can intersect anywhere.
Option B: The second parabola opens upward