To factor we must first find <u>factors</u> of 35
The only factors of 35 are :<em> 5 & 7 </em>
-2x is what 5 and 7 make
but only if 7 is <u>negative </u>and 5 is <u>positive </u>
so our final factors are
(x - 7) (x + 5)
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For the second equation, were going to multiple the coefficient of ( which is 2 ) by 6
We get 12
What factors of 12 add up to 7?
<em>3 and 4 </em>
So our final factors are
(2x+3)(x+2)
Answer:
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Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:
And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:
Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:
The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:
