Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
To find p, you would first subtract the 4 from either side of the equation. You would then have 3p+15. Then you would divide by 3 on both sides to get 9=5.
Therefore, p=5
Subtract 7 from each side
x=12
Answer: 1
Step-by-step explanation:
2+3 = 5
10 - 5 = 5
The x’s would be just 1 to make them equal since they don’t need to be multiplied
