What are the coordinates of the maximum or minimum value for the graph of the function x² - 4x +7 = y?
(-2, 3)
(2, -3)
(-2, -3)
(2, 3)

The vertex is (2,3)

The minimum value is 3

Step-by-step explanation:

The given function is

We complete the square to obtain the vertex form of the function.

The vertex is (2,3)

The coefficient of the quadratic term is >0 therefore the vertex is the minimum point.

108

Step-by-step explanation:

Givens

let the oldest one = 5xLet the youngest one = 3xLet the middle one = 4x

Equation

3x + 18 = 5x  

Solution

3x + 18 = 5x                         Subtract 3x from both sides3x - 3x + 18 = 5x - 3x          Combine18 = 2x                                 Divide by 218/2 = 2x/2                          Dividex = 9

Answer

3x = 3*9 = 275x = 5*9 = 454x = 4*9 = 36The sum is 108

Comment

This is a very tricky problem. It is not the usual way that 3 part ratios are handled. Thanks for posting.