Answer:
Step-by-step explanation:
2q + 2p = 1 + 5q
-3q + 2p = 1
-3q = 1 - 2p
3q = 2p - 1
q = (2p -1)/3
Answer:
-m^2 |n|^3 sqrt(n)
Step-by-step explanation:
-sqrt( m^4n^7)
We know that sqrt(ab) = sqrt(a) sqrt(b)
-sqrt(m^4) sqrt(n^7)
The sqrt(m^4) = m^2
The sqrt(n^7) = sqrt(n^6) sqrt(n) = |n|^3 sqrt(n) We take the absolute value because if n is negative, n^6 is postive, but n^3 is negative
-sqrt(m^4) sqrt(n^7)
-m^2 |n|^3 sqrt(n)
Answer:
Step-by-step explanation:
Given,
Art electives = 3,
History electives = 4,
Computer electives = 5,
Total number of electives = 3 + 4 + 5 = 12,
Since, if a student chooses an art elective and a history elective,
So, the total combination of choosing an art elective and a history elective = 
Also, the total combination of choosing any 2 subjects out of 12 subjects = 
Hence, the probability that a student chooses an art elective and a history elective = 
Which is the required expression.
Answer:
x > 77
Step-by-step explanation:
According to order of operations rules, we must carry out division before addition or subtraction. In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:
X/7-3>8
+3 +3
--------------
x/7 > 11
The easiest way in which to solve for x is to multiply both sides of this inequality by 7:
7(x/7) > 7(11), or
x > 77
All numbers greater than 77 are part of the solution set.
