Intro to philosophy question proofs instructions: for each formal argument given, write out a correct formal proof. be sure to justify each step in your proof correctly.
instructions: for each formal argument given, write out a correct formal proof. be sure to justify each step in your proof correctly.
#1 (p ? q) & (r ? s)
p & ~s
r ? (q ? t)
–––
t
#2 p ? (q ? ~r)
(~r ? t) & p
–––
q ? t
#3 (p ? q) & (s ? r)
(q ? s) & (p ? t)
t ? r
–––
r

something over 10 so ? /10

step-by-step explanation:

answer: 12   they all have at least 28 days

step-by-step explanation: haha

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.