Answer:
The correct answer is:
Step-by-step explanation:
We want to solve for the amount of money he pays each month. This is represented by y in the equation. This means we want to isolate y in the equation:
x = t - yz
We first want to subtract t from each side:
x - t = t - yz - t
x - t = -yz
Now we want to cancel the negative sign and z. We can isolate both of these at the same time; divide both sides by -z:
\frac{x-t}{-z} = \frac{-yz}{-z} \\ \\\frac{x-t}{-z}=y
We can divide the numerator by the negative sign; this gives us
\frac{-x+t}{z}=y
Answer:
the first one is just asking if x increases, does the line go up to down if you look from the graph? The y, or f(X) values will increase as X increases. X intercept means when does the line touched the X axis? From the graph the line touches it at (-3,0)
I can't conveniently copy the logical symbols you use, so I write
AND = ∧ (conjunction)
OR = ∨ (disjunction)
NOT = ¬
Tautologically,
p = (p AND q) OR (p AND NOT q)
and we can distribute the OR to get the equivalent statement
(p OR (p AND NOT q)) AND (q OR (p AND NOT q))
and again to get
((p OR p) AND (p OR NOT q)) AND ((p OR q) AND (q OR NOT q))
Now, q OR NOT q is always true, and p OR p is simply p, so we have
p = p AND (p OR q) AND (p OR NOT q)
This shows that p OR NOT q is already included in p, so our initial statement is simply
p AND (NOT p OR NOT q)
Distributing the conjunction, we get
(p AND NOT p) OR (p AND NOT q)
p AND NOT p is tautologically false, but we're considering a disjunction, so the truth value of p AND NOT q is the only value that's relevant. So, the initial statement collapses to
p AND NOT q
THE WHOLE THING???? or just one answer?
