sat-dog

25 - The correct answer is . The value of g^7 wh is the value of g^xh when = - - x 7 w, where w is a constant. Substituting 7 w for x in the given equation 7- = 7- 7- -2 7- +6 2 yields g^ wh ^ wh^ w h^ w h , which is equivalent to 7- = 7- 5- 13- 2 - g^ wh ^ wh^ wh^ wh . It’s given that the value of g^7 wh is 0. - 7- = 7- 5- 13- 2 Substituting 0 for g^7 wh in the equation g^ wh ^ wh^ wh^ wh 0= 7- 5- 13- 2 yields ^ wh^^ wh wh . Since the product of the three factors on the right-hand side of this equation is equal to 0, at least one of these three factors must be equal to 0. Therefore, the possible values of w can be found by setting 7- =0 each factor equal to 0. Setting the first factor equal to 0 yields w . Adding = w to both sides of this equation yields 7 w. Therefore, 7 is one possible value 5- =0 of w. Setting the second factor equal to 0 yields w . Adding w to both = sides of this equation yields 5 w. Therefore, 5 is a second possible value of w. 13- 2=0 Setting the third factor equal to 0 yields ^ wh . Taking the square root of 13- =0 both sides of this equation yields w . Adding w to both sides of this 13= 13 equation yields w. Therefore, is a third possible value of w. Adding the 7+5+13 25 three possible values of w yields , or . Therefore, the sum of all 25 possible values of w is . 41 SAT PRACTICE TEST #5 ANSWER EXPLANATIONS