Answer:
38,38,380
Step-by-step explanation:
GIVEN: A club is considering changing its laws. In an initial straw vote on the issue,
of the
members of the club favored the change and
did not. A committee of six is to be chosen from the
club members to devote further study to the issue.
TO FIND: How many committees of six can be formed from the club membership.
SOLUTION:
Total number of members 
Total members to be chosen 
To select committee of
members from



Hence 38,38,380 different committee can be formed.
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
There are two real roots because b²>4ac
in the equation, b²= 9² = 81.
4ac = 4×-4×-12= 72
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