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

Which element is likely to be the most brittle
Which is a good example of Roman portrait painting?
What does the Fourth Amendment require before law enforcement officers may enter a person’s home against his or her will to look for evidence? Choose exactly
Why is a shell considered to be biotic?
Ammonium hydroxide ionizes as follows: NH4OH(s) NH4 +(aq) + OH-(aq). If an excess of ammonium salt, such as NH4Cl (which ionizes to give NH4 +(aq) ions) is ad
Which of these nonfiction texts will most likely have a formal tone? 1.a travel guidebook 2.a geography textbook 3.a biography 4.a blog post
Why is a doctor not better than a teacher?
What is the written form of the fraction 1/3 ? Patty stirred 1/3 cup of milk into the macaroni and cheese. A. one-third B. one third
Bruce has 97 sports cards. 34 of them are football cards. Which equation can be used to find the number of sports cards y that are not football cards
Today, most managers perform some functions associated with ______________.