Greetings, Agent OOZero. Your mission, if you choose to accept it, is to use the

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Answer:

Gertrude's favorite is George Burn

What we know from the beginning:

Comedians:

George Burn
Jack Benny
David Letterman
Jerry Springfield

Lucy: Jerry Springfield is her favorite

David: Does not like David Letterman

Gertrude: Does not like David Letterman, Does not like Jack Benny anymore

Solving:

Since we know that Jerry Springfield is Lucy's favorite, he is not longer an option. This leaves George Burn, Jack Benny, and David Letterman.
David and Gertrude do not like David Letterman, so he must be Jose's favorite. This leaves George Burn and Jack Benny
Gertrude does not like Jack Benny anymore, so the only one left to be her favorite is George Burn

You might be interested in

Plz help me with this

Setler79 [48]

Answer: x = 8

(the correct answer was not provided as an option)

Step-by-step explanation:

$log_2(x-6)+log_2(x-4)=log_2(x)\\\\log_2[(x-6)(x-4)]=log_2(x)\\\\(x-6)(x-4)=x\\\\x^2-10x+24=x\\\\x^2-11x+24=0\\\\(x-3)(x-8)=0\\\\x=3\qquad x=8\\\\\\\text{The term after the log symbol (inside the parenthesis) must be greater than 0!}\\\\Check:\\3-6>0\ \text{FALSE --- so 3 is not a valid solution}\\\\8-6>0\ \text{TRUE}\\8-4>0\ \text{TRUE}\\8>0\ \text{TRUE --- 8 is a valid solution because it is true for all}$