Answer:
d
Step-by-step explanation:
Answer: The correct option is (c)
Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:
Also, we are to find the constant added on both sides to form the perfect square trinomial.
We have from equation (i) that
So,
Thus, the required solution is and the value of the constant added is
Option (c) is correct.
Answer:
The slope is -3/4 y intercept is (0,-5)
Step-by-step explanation:
X Y
-20/3 0
0 5
graph ^
y + 2= -3/4 ( x+4)
Once the first team is defined, so is the other one. With no loss of generality, we can define the first team as the one with one (1) woman. There are 3 ways to have 1 woman on the team.
The remaining 3 team members are men. There are C(5,3) = 10 ways to choose 3 men from 5. Thus, the first team can be formed in 3×10 = 30 different ways.
There are 30 ways to form the teams as described.
_____
The function C(n, k) or nCk (choose k from a pool of n) is defined as
... nCk = n!/(k!(n-k)!)
so 5C3 = 5!/(3!(5-3)!) = 5·4/2 = 10
5x + 11 = 4x + 110
x = 99
hope this helped!