Answer:
Step-by-step explanation:
<h3>
Algebraic Identities:</h3>
Identity used: (a +b)³ = a³ + b³ + 3ab(a +b)
p + q = -2 ------------------(I)
Both sides take cube,
(p +q)³ = (-2)³
a = p and b =q
p³ + q³ + 3pq(p +q) = -8
p³ + q³ + 3pq*(-2) = - 8 {From (I)}
p³ + q³ - 6pq = -8
p³ + q³ = -8 + 6pq
p³ + q³ + 8 = 6pq
Hence, proved.
Answer:
15%
Step-by-step explanation:
..
Answer:
$63
Step-by-step explanation:
The store is 20% off, Jessica has a coupon that is 5% off add that together and it's 25% off. $84 - 25% = $63
Option C: is the factor
Explanation:
The given expression is
We need to determine the factor of the given expression.
The factor of the expression can be determined by taking 4 as a common factor because each term in the trinomial is a multiple of 4.
Hence, factoring the expression becomes,
Therefore, the factor of the given expression is
Hence, Option C is the correct answer.
Answer:
32%.
Step-by-step explanation:
Given:
Probability of having Statistics course is 0.53.
Probability of having computer course is 0.22.
Probability of having both is 0.07.
The probability of the junior Biology majors are ineligible for Bio Research can be calculated as:
<em>P</em>( Ineligible for Bio Research) =1- { P(Statistics) +<em>P</em>( Computer ) -<em>P</em>( Both}
<em>P</em>( Ineligible for Bio Research) =1- { (0.53) + (0.22) - (0.07)
<em>P</em>( Ineligible for Bio Research) = 0.32
Thus, 32% of the junior Biology majors are ineligible for Bio Research.