What is the best way to determine if the following factorization problem is correct? \[ 2 x^{2}+9 x-35=(2 x-5)(x+7) \] Use the Associative rule to regroup the factors. Use the Commutative rule to reorder the terms in each factor. Add all the like terms in the factors of the answer. Multiply the first and last terms of the factors and see if they match the first and last terms of the polynomial. Distribute the multiplication as written in the answer. Is the factorization problem correct? Yes No

Factor. \[ 81-49 y^{2} \]

1.1.4 \( \quad 5^{2 x}-5^{x}=0 \)

Trova il valore del parametro \( k \) per cui il triango- lo di vertici \( A(2 k ; 3-k), \quad B(k-5 ;-k) \) e \( C(4-k ;-7) \) ha il baricentro di ascissa 1.

Razonamiento Determina \( D(f) \) y \( D(g) \) dadas las funciones \( f(x)=\frac{6 x}{x^{2}+x-2} \) y \( g(x)=\sqrt{x-3} \) Si es posible calcula los valores de \( (f \circ g)(12),(f \circ g)(4) \), \( (g \circ f)(3) \) y \( (g \circ f)(2) \).

Tres números enteros consecutivos suman 72 . ¿Podemos conocer el valor del valor del menor de los tres números? a. No, porque no existen datos suficientes para calculario. b. Si, resolviendo la ecuaciōn \( n+2 n+3 n=72 \) c. No, porque no conocemos el valor del mayor. d. Si, resolviendo la ecuación \( n+(n+1)+(n+2)=72 \)