billybobjoe73 billybobjoe73
  • 02-03-2019
  • Mathematics
contestada

in the function f(x)=5(x^2-4+___)+15, what number belongs in the blank to complete the square?

Respuesta :

gmany
gmany gmany
  • 02-03-2019

Answer:

2² = 4

Step-by-step explanation:

[tex]\text{Use}\\(a-b)^2=a^2-2ab+b^2\\\\f(x)=5(x^2-4x+\underline{\ \ \ })+15\\\\x^2-4x\\\\x^2-2(x)(2)\\\\x^2-2(x)(2)+2^2=x^2-4x+4\\\\\text{Therefore}\\\\f(x)=5(x^2-4x+4)+15=5(x-2)^2+15[/tex]

Answer Link

Otras preguntas

A retriever would most likely be used for what type of hunting?
How do the number of electrons change across the periodic table?
. Complete. y2 + 15y + 56 = (y + 7)(y +)
Exercise 2 - questions 1. did the led light up? why or why not? g
Refrence books that contains words of similar and opposite meaning are called
Convert 5.96 to a fraction
asap!! someone please help! i don't understand how graphing functions work
In what ways did President Reagan escalate government spending on defense?
What's 39,230 rounded to the nearest ten thousabd
People cannot use most of the freshwater on Earth because it is in the form of ______?