Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20? startfraction negative 5 minus 1 over 2 endfraction = negative 3 = –3 startfraction negative 10 minus 2 over 2 endfraction = negative 4 = –4 startfraction 1 + 5 over 2 endfraction = 3 = 3 startfraction 2 + 10 over 2 endfraction = 4 = 4

Step-by-step explanation:

The x-intercepts are the values of x for which y=0, that is f(x)=0.

The x-intercepts of  

are the values of x such that

Divide both sides by 4 to simplify a little

Solve the quadratic equation

and you get the 2 x-intercepts

x =10/2  and x = 2/2  

or

x = 5 and x = 1

The average is the midpoint

answer:  

123455421

step-by-step explanation: easy

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.