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

In Donne's sonnet, what does the phrase "one short sleep past" mean? a. Death is unavoidable. b. Death is more permanent than sleep. c. Death comes sooner th
How many chromosomes are shown in a normal human karyotype? a. 2 c. 44 b. 23 d. 46
19 is 25% of what, I don't understand how to do percentages and im lost and stuck please help
A substance that prevents the flow of electric current is a(n) .
2 ways in which sports can impede nation building
how many $3.50 burgers can you buy for a millon dollars?
Which is a reason democracy failed following most Latin American Revolutions?
Before the Europeans occupied central Mexico, they were the indigenous residents. a. Incas c. Aztecs b. Mayans d. Hopis
All of the following are synonymous (mean the same) EXCEPT: a. suffrage c. conscription b. compulsory military service d. the draft
How do you write 50% as a fraction in simplest form?