Answer:
The value of y is 1
Step-by-step explanation:
4 - (y - 3) = 3(y + 1) - 4(1 - y)
4 - y + 3 = 3y + 3 - 4 + 4y
7 - y = 7y - 1
7 + 1 = 7y + y
8y = 8
y = 1
Thus, The value of y is 1
<u>-</u><u>TheUnknownScientist</u><u> 72</u>
Answer:
B
Step-by-step explanation:
Answer:
Lets say that P(n) is true if n is a prime or a product of prime numbers. We want to show that P(n) is true for all n > 1.
The base case is n=2. P(2) is true because 2 is prime.
Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that
p1*p2*...*pj = a
pj+1*pj+2*...*pl = b
As a result
n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl
Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.
I would say it’s b
You can cross cancel (x-3) out of both fractions
Then you have x+2/ x times 3/4
Multiply the numerators
3(x+2)
And the denominators
x • 4 = 4x
Leaving you with 3(x+2)/4x
You can simplify it further into 3x+ 6/ 4x which is option b, though it is technically simplified with the parentheses.
