Answer:
A.
[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]
Step-by-step explanation:
Given
Ratio = 3:5
Q = -14
S = 2
Required
Which solution uses [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
From the given parameters;
[tex]m:n = 2:5[/tex]
[tex]m = 2\ and\ n = 5[/tex]
[tex]x_1 = -14\ and\ x_2 = 2[/tex]
Substitute the above values in [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
This gives:
[tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]
From the list of given options, only option A uses the given form of the formula...