contestada

The expression 8x2 − 64x + 720 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.

Respuesta :

calculista

Answer:

[tex]8(x-4)^{2}+592[/tex]

Step-by-step explanation:

we have

The expression  [tex]8x^{2} -64x+720[/tex]

This is a vertical parabola open upward

The vertex is a minimum

Convert the expression in vertex form

Factor the leading coefficient

[tex]8(x^{2} -8x)+720[/tex]

Complete the square

[tex]8(x^{2} -8x+16)+720-128[/tex]

[tex]8(x^{2} -8x+16)+592[/tex]

Rewrite as perfect squares

[tex]8(x-4)^{2}+592[/tex]

The vertex is the point (4,592)

That means -----> 4 years since 1998 the population has a minimum

Answer:

8(x − 4)^2 + 592

Step-by-step explanation:

I took the test and got it right

Otras preguntas