Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line A C is 20 inches. The space between points A and B is labeled x. The space between points B and C is labeled 3 x. Use the segment to complete the statements. The value of x is . The length of Line segment A B in inches is . The length of Line segment B C in inches is

Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

the vertex of f(x) is (-1,-2) and it is the minimum value of the function. the vertex of g(x) is (2,1) and it is the maximum value of the function.

step-by-step explanation:

the given functions are

the standard vertex form of a parabola is

where, a is stretch factor and (h,k) is vertex. the vertex of a parabola is an extreme point of it.

if a< 0, then it is a downward parabola and if a> 0, then it is an upward parabola.

in function f(x),

here a> 0, therefore it is an upward parabola. so, the vertex (-1,-2) is the minimum value of the function.

in function g(x),

here a< 0, therefore it is a downward parabola. so, the vertex (2,1) is the maximum value of the function.